Introduction to Conditions |
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Boolean Variables |
Introduction |
When interacting with a computer, a user submits values to a running application. Some of these values are valid. Some other values must be rejected or changed. To take care of these, the values must be checked, examined, re-examined, etc. The validity of a value is checked against its type. For example, a number can be checked as being equal to another. A condition can be checked as being true. A measure can be checked as to whether it is higher than a certain threshold. To perform the necessary validations of values, the C# language provides some symbols, referred to as Boolean operators. |
A variable is referred to as Boolean if it can hold a value that is either true or false. To declare a Boolean variable, you can use either the var or the bool keyword. Here is an example: using System; public class Exercise { static int Main() { bool DrinkingUnderAge; return 0; } } Alternatively, you can declare a Boolean variable using the Boolean data type. The Boolean data type is part of the System namespace. Here is an example: using System; public class Exercise { static int Main() { bool DrinkingUnderAge; Boolean TheFloorIsCoveredWithCarpet; return 0 } } After the variable has been declared, you must initialize it with a true or a false value. In fact, if you declare it as var, you must initialize it. Here is an example: using System; public class Exercise { static int Main() { var DrinkingUnderAge = true; return 0; } } To display the value of a Boolean variable on the console, you can type its name in the parentheses of the Write() or the WriteLine() methods of the Console class. Here is an example: using System; public class Exercise { static int Main() { var DrinkingUnderAge = true; Console.WriteLine("Drinking Under Age: {0}", DrinkingUnderAge); return 0; } } This would produce: Drinking Under Age: True Press any key to continue . . . At any time and when you judge it necessary, you can change the value of the Boolean variable by assigning it a true or false value. Here is an example: using System; public class Exercise { static int Main() { var DrinkingUnderAge = true; Console.WriteLine("Drinking Under Age: {0}", DrinkingUnderAge); DrinkingUnderAge = false; Console.WriteLine("Drinking Under Age: {0}", DrinkingUnderAge); return 0; } } This would produce: Drinking Under Age: True Drinking Under Age: False Press any key to continue . . . As reviewed for the other data types, you can request the value of a Boolean variable from the user. In this case, the user must type either True (or true) or False (or false) and you can retrieve it using the Read() or the ReadLine() methods of the Console class. Here is an example: using System; public class Exercise { static int Main() { var DrivingUnderAge = false; Console.WriteLine("Were you driving under age?"); Console.Write("If Yes, enter True. Otherwise enter False: "); DrivingUnderAge = bool.Parse(Console.ReadLine()); Console.WriteLine("\nWas Driving Under Age: {0}\n", DrivingUnderAge); return 0; } } Here is an example of running the program: Were you driving under age? If Yes, enter True. Otherwise enter False: true Was Driving Under Age: True Press any key to continue . . .
Like the other types of variables we used in previous lessons, a Boolean variable can be made a field of a class. You declare it like any other variable, using the bool keyword or the Boolean data type. Here is an example: public class House { public char TypeOfHome; public int Bedrooms; public float Bathrooms; public byte Stories; public bool HasCarGarage; public int YearBuilt; public double Value; } When initializing an object that has a Boolean variable as a member, simply assign true or false to the variable. In the same way, you can retrieve or check the value that a Boolean member variable is holding by simply accessing it. Here are examples: using System; public class House { public char TypeOfHome; public int Bedrooms; public float Bathrooms; public byte Stories; public bool HasCarGarage; public int YearBuilt; public double Value; } public class Program { static int Main() { var Condominium = new { HasCarGarage = false, YearBuilt = 2002, Bathrooms = 1.5F, Stories = 18, Value = 155825, Bedrooms = 2, TypeOfHome = 'C' }; Console.WriteLine("=//= Altair Realty =//="); Console.WriteLine("=== Property Listing ==="); Console.WriteLine("Type of Home: {0}", Condominium.TypeOfHome); Console.WriteLine("Number of Bedrooms: {0}", Condominium.Bedrooms); Console.WriteLine("Number of Bathrooms: {0}", Condominium.Bathrooms); Console.WriteLine("Number of Stories: {0}", Condominium.Stories); Console.WriteLine("Year Built: {0}", Condominium.YearBuilt); Console.WriteLine("Has Car Garage: {0}", Condominium.HasCarGarage); Console.WriteLine("Monetary Value: {0}\n", Condominium.Value); return 0; } } This would produce: =//= Altair Realty =//= === Property Listing === Type of Home: C Number of Bedrooms: 2 Number of Bathrooms: 1.5 Number of Stories: 18 Year Built: 2002 Has Car Garage: False Monetary Value: 155825 Press any key to continue . . .
Like parameters of the other types, you can pass an argument of type bool or Boolean to a method. Such an argument would be treated as holding a true or false value.
Consider that, when creating a program for a real estate company that sells houses, you want the program to ask a customer the type of house that he or she wants to purchase and/or the type of garage that the desired house should have. Here is an example: using System; public class Exercise { static int Main() { int TypeOfHouse = 0; int TypeOfGarage = 0; Console.WriteLine("Enter the type of house you want to purchase"); Console.WriteLine("1 - Single Family"); Console.WriteLine("2 - Townhouse"); Console.WriteLine("3 - Condominium"); Console.Write("Your Choice: "); TypeOfHouse = int.Parse(Console.ReadLine()); Console.WriteLine("Enter the type of garage you want"); Console.WriteLine("0 - Doesn't matter"); Console.WriteLine("1 - Interior"); Console.WriteLine("2 - Exterior"); Console.Write("Your Choice: "); TypeOfGarage = int.Parse(Console.ReadLine()); Console.WriteLine("\nHouse Type: {0}", TypeOfHouse); Console.WriteLine("Garage Type: {0}", TypeOfGarage); return 0; } } Here is an example of running the program: Enter the type of house you want to purchase 1 - Single Family 2 - Townhouse 3 - Condominium Your Choice: 3 Enter the type of garage you want 0 - Doesn't matter 1 - Interior 2 - Exterior Your Choice: 1 House Type: 3 Garage Type: 1 Press any key to continue . . . For such a program, the numbers can be vague. 1 can be considered a general number but, in our program, it can represent a Single Family house or an Interior type of garage. At the same time, our program uses the constant 1 in particular meaningful ways. To make it possible to give more meaning to a constant number, when the number can be made part of a series, C# allows you to create a type of list. An enumeration is a series of constant integers that each has a specific position in the list and can be recognized by a meaningful name. Based on this, instead of just remembering that the constant 1 represents Single Family, you can create a list that has that type of house. In another list, instead of using 1 again, you can give it a name. Consequently, in each list, although the constant 1 would still be considered, at least it would mean something precise. To create an enumeration, you use the enum keyword, followed by the name of the enumeration, followed by a name for each item of the list. The name of the enumerator and the name of each item of the list follows the rules we reviewed for names. The formula of creating an enumeration is: enum Series_Name {Item1, Item2, Item_n}; Here is an example: using System; public class Exercise { enum HouseType { Unknown, SingleFamily, TownHouse, Condominium } static int Main() { return 0; } }
After creating an enumeration, each member of the enumeration holds a value of a natural number, such as 0, 4, 12, 25, etc. In C#, an enumeration cannot hold character values (of type char). After creating an enumeration, you can declare a variable from it. Here is an example: using System; public class Exercise { enum HouseType { Unknown, SingleFamily, TownHouse, Condominium } static int Main() { HouseType propType; return 0; } } Just as done with the other types, you can use the var keyword to declare a variable of an enumeration type.
After declaring a variable for an enumeration, to initialize it, specify which member of the enumeration would be assigned to the variable. You should only assign a known member of the enumeration. To do this, on the right side of the assignment operator, type the name of the enumeration, followed by the period operator, and followed by the member whose value you want to assign. Here is an example: using System; public class Exercise { enum HouseType { Unknown, SingleFamily, TownHouse, Condominium } static int Main() { var propType = HouseType.SingleFamily; return 0; } } You can also find out what value the declared variable is currently holding. For example, you can display it on the console using Write() or WriteLine(). Here is an example: using System; public class Exercise { enum HouseType { Unknown, SingleFamily, TownHouse, Condominium } static int Main() { var propType = HouseType.SingleFamily; Console.WriteLine("House Type: {0}", propType); return 0; } } This would produce: House Type: SingleFamily Press any key to continue . . . An enumeration is in fact a list of numbers where each member of the list is identified with a name. By default, the first item of the list has a value of 0, the second has a value of 1, and so on. For example, on the HouseType enumeration, Unknown has a value of 0 while Townhouse has a value of 2. These are the default values. If you don't want these values, you can specify the value of one or each member of the list. Suppose you want the Unknown member in the above enumeration to have a value of 5. To do this, use the assignment operator "=" to give the desired value. The enumerator would be: using System; public class Exercise { enum HouseType { Unknown = 5, SingleFamily, TownHouse, Condominium } static int Main() { return 0; } } In this case, Unknown now would have a value of 5, SingleFamily would have a value of 6 because it follows a member whose value is 1 (thus 5 + 1 = 6). Townhouse would have a value of 7, and Condominium would have a value of 8. You can also assign a value to more than one member of an enumeration. Here is an example: using System; public class Exercise { enum HouseType { Unknown = 3, SingleFamily = 12, TownHouse, Condominium = 8 } static int Main() { return 0; } } In this case, Townhouse would have a value of 13 because it follows SingleFamily that has a value of 12.
By default, if you create an enumeration the way we have proceeded so far, it would be available only in the project it belongs to. As done for a class, you can control an enumeration's accessibility outside of its project. This means that you can hide or make it visible outside of its project. To do this, you can precede it with the private or the public keyword. Here is an example: using System; public class Exercise { public enum HouseType { Unknown, SingleFamily, TownHouse, Condominium } static int Main() { HouseType propType = HouseType.SingleFamily; Console.WriteLine("House Type: {0}", propType); return 0; } }
After creating an enumeration, you can use it as a data type to declare a variable. To create a field that is of an enumeration type, follow the same rules as done for the primitive types: the name of the enumeration, followed by the name of the variable, and followed by a semi-colon. Here is an example: public enum HouseType { Unknown, SingleFamily, TownHouse, Condominium } public class House { HouseType PropertyType; } In the same way, you can declare as many enumeration variables as you want. After declaring the variable, to initialize it, assign it the desired member of the enumeration. Here is an example: public enum HouseType { Unknown, SingleFamily, TownHouse, Condominium } public class House { HouseType PropertyType; public House() { PropertyType = HouseType.Unknown; } } Once the member variable has been initialized, you can use it as you see fit as we will learn and practice in future sections and lessons. At a minimum, you can pass it to Write() or WriteLine() to display its value. Here is an example: using System; public enum HouseType { Unknown, SingleFamily, TownHouse, Condominium } public class House { public HouseType PropertyType; public House() { PropertyType = HouseType.Unknown; } public void Display() { Console.WriteLine("Property Type: {0}", PropertyType); } } public class Exercise { static int Main() { var propType = new House(); propType.Display(); Console.WriteLine(); propType.PropertyType = HouseType.SingleFamily; propType.Display(); Console.WriteLine(); return 0; } } This would produce: Property Type: Unknown Property Type: SingleFamily Press any key to continue . . . Using it as normal data type, you can create a method that returns an enumeration. You can also pass an enumeration to a method as argument.
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A program is a series of instructions that ask the computer (actually the compiler) to check some situations and to act accordingly. To check such situations, the computer spends a great deal of its time performing comparisons between values. A comparison is a Boolean operation that produces a true or a false result, depending on the values on which the comparison is performed. A comparison is performed between two values of the same type; for example, you can compare two numbers, two characters, or the names of two cities. On the other hand, a comparison between two disparate values doesn't bear any meaning. For example, it is difficult to compare a telephone number and somebody's age, or a music category and the distance between two points. Like the binary arithmetic operations, the comparison operations are performed on two values. Unlike arithmetic operations where results are varied, a comparison produces only one of two results. The result can be a logical true or a logical false. When a comparison is true, it has an integral value of 1 or positive; that is, a value greater than 0. If the comparison is not true, it is considered false and carries an integral value of 0. The C# language is equipped with various operators used to perform any type of comparison between similar values. The values could be numeric, strings, or objects (operations on objects are customized in a process referred to as Operator Overloading). There are primary assumptions you should make when writing statements used in conditions:
In your programs, make sure you clearly formulate your statements. This would make your programs easy to read and troubleshoot when problems occur (not if, but when). To compare two variables for equality, C# uses the == operator. The formula used is: Value1 == Value2 The equality operation is used to find out whether two variables (or one variable and a constant) hold the same value. From our syntax, the compiler would compare the value of Value1 with that of Value2. If Value1 and Value2 hold the same value, the comparison produces a true result. If they are different, the comparison renders false.
Most of the comparisons performed in C# will be applied to conditional statements. The result of a comparison can also be assigned to a variable. To store the result of a comparison, you should include the comparison operation between parentheses. Here is an example: using System; public class Exercise { static int Main() { var Value1 = 15; var Value2 = 24; Console.Write("Value 1 = "); Console.WriteLine(Value1); Console.Write("Value 2 = "); Console.WriteLine(Value2); Console.Write("Comparison of Value1 == 15 produces "); Console.WriteLine(Value1 == 15); return 0; } } This would produce: Value 1 = 15 Value 2 = 24 Comparison of Value1 == 15 produces True It is important to make a distinction between the assignment "=" and the logical equality operator "==". The first is used to give a new value to a variable, as in Number = 244. The operand on the left side of = must always be a variable and never a constant. The == operator is never used to assign a value; this would cause an error. The == operator is used only to compare to values. The operands on both sides of == can be variables, constants, or one can be a variable while the other is a constant. If you use one operator in place of the other, you would receive an error when you compile the program.
When a variable is declared and receives a value (this could be done through initialization or a change of value) in a program, it becomes alive. It can then participate in any necessary operation. The compiler keeps track of every variable that exists in the program being processed. When a variable is not being used or is not available for processing (in visual programming, it would be considered as disabled) to make a variable (temporarily) unusable, you can nullify its value. C# considers that a variable whose value is null is stern. To render a variable unavailable during the evolution of a program, apply the logical not operator which is !. Its syntax is: !Value There are two main ways you can use the logical not operator. As we will learn when studying conditional statements, the most classic way of using the logical not operator is to check the state of a variable. To nullify a variable, you can write the exclamation point to its left. Here is an example: using System; public class Exercise { static int Main() { bool HasAirCondition = true; bool DoesIt; Console.Write("HasAirCondition = "); Console.WriteLine(HasAirCondition); DoesIt = !HasAirCondition; Console.Write("DoesIt = "); Console.WriteLine(DoesIt); return 0; } } This would produce: HasAirCondition = True DoesIt = False When a variable holds a value, it is "alive". To make it not available, you can "not" it. When a variable has been "notted", its logical value has changed. If the logical value was true, which is 1, it would be changed to false, which is 0. Therefore, you can inverse the logical value of a variable by "notting" or not "notting" it.
As opposed to Equality, C# provides another operator used to compare two values for inequality. This operation uses a combination of equality and logical not operators. It combines the logical not ! and a simplified == to produce !=. Its syntax is: Value1 != Value2 The != is a binary operator (like all logical operator except the logical not, which is a unary operator) that is used to compare two values. The values can come from two variables as in Variable1 != Variable2. Upon comparing the values, if both variables hold different values, the comparison produces a true or positive value. Otherwise, the comparison renders false or a null value:
Here is an example: using System; public class Exercise { static int Main() { var Value1 = 212; var Value2 = -46; var Value3 = (Value1 != Value2); Console.Write("Value1 = "); Console.WriteLine(Value1); Console.Write("Value2 = "); Console.WriteLine(Value2); Console.Write("Value3 = "); Console.Write(Value3); Console.WriteLine(); return 0; } } The inequality is obviously the opposite of the equality.
To find out whether one value is lower than another, use the < operator. Its syntax is: Value1 < Value2 The value held by Value1 is compared to that of Value2. As
it would be done with other operations, the comparison can be made between two
variables, as in Variable1 < Variable2. If the value held by Variable1 is lower
than that of Variable2, the comparison produces a true or positive result.
Here is an example: using System; public class Exercise { static int Main() { var Value1 = 15; var Value2 = (Value1 < 24); Console.Write("Value 1 = "); Console.WriteLine(Value1); Console.Write("Value 2 = "); Console.WriteLine(Value2); Console.WriteLine(); return 0; } } This would produce: Value 1 = 15 Value 2 = True
The previous two operations can be combined to compare two values. This allows you to know if two values are the same or if the first is less than the second. The operator used is <= and its syntax is: Value1 <= Value2 The <= operation performs a comparison as any of the last two. If both Value1 and VBalue2 hold the same value, result is true or positive. If the left operand, in this case Value1, holds a value lower than the second operand, in this case Value2, the result is still true.
Here is an example: using System; public class Exercise { static int Main() { var Value1 = 15; var Value2 = (Value1 <= 24); Console.Write("Value 1 = "); Console.WriteLine(Value1); Console.Write("Value 2 = "); Console.WriteLine(Value2); Console.WriteLine(); return 0; } } This would produce: Value 1 = 15 Value 2 = True
When two values of the same type are distinct, one of them is usually higher than the other. C# provides a logical operator that allows you to find out if one of two values is greater than the other. The operator used for this operation uses the > symbol. Its syntax is: Value1 > Value2 Both operands, in this case Value1 and Value2, can be variables or the left operand can be a variable while the right operand is a constant. If the value on the left of the > operator is greater than the value on the right side or a constant, the comparison produces a true or positive value . Otherwise, the comparison renders false or null:
The greater than or the equality operators can be combined to produce an operator as follows: >=. This is the "greater than or equal to" operator. Its syntax is: Value1 >= Value2 A comparison is performed on both operands: Value1 and Value2. If the value of Value1 and that of Value2 are the same, the comparison produces a true or positive value. If the value of the left operand is greater than that of the right operand,, the comparison produces true or positive also. If the value of the left operand is strictly less than the value of the right operand, the comparison produces a false or null result:
Here is a summary table of the logical operators we have studied:
We are used to counting numbers such as 1, 2, 3, 4, etc. In reality, when counting such numbers, we are simply adding 1 to a number in order to get the next number in the range. The simplest technique of incrementing a value consists of adding 1 to it. After adding 1, the value or the variable is (permanently) modified and the variable would hold the new value. This is illustrated in the following example: // This program studies value incrementing using System; public class Exercise { static int Main() { var Value = 12; Console.WriteLine("Techniques of incrementing a value"); Console.Write("Value = "); Console.WriteLine(Value); Value = Value + 1; Console.Write("Value = "); Console.WriteLine(Value); return 0; } } This would produce: Techniques of incrementing a value Value = 12 Value = 13 C# provides a special operator that takes care of this operation. The operator is called the increment operator and is represented by ++. Instead of writing Value = Value + 1, you can write Value++ and you would get the same result. The above program can be re-written as follows: // This program studies value incrementing using System; public class Exercise { static int Main() { var Value = 12; Console.WriteLine("Techniques of incrementing a value"); Console.Write("Value = "); Console.WriteLine(Value); Value++; Console.Write("Value = "); Console.WriteLine(Value); return 0; } } The ++ is a unary operator because it operates on only one variable. It is used to modify the value of the variable by adding 1 to it. Every time the Value++ is executed, the compiler takes the previous value of the variable, adds 1 to it, and the variable holds the incremented value: // This program studies value incrementing using System; public class Exercise { static int Main() { var Value = 12; Console.WriteLine("Techniques of incrementing a value"); Value++; Console.Write("Value = "); Console.WriteLine(Value); Value++; Console.Write("Value = "); Console.WriteLine(Value); Value++; Console.Write("Value = "); Console.WriteLine(Value); return 0; } } This would produce: Techniques of incrementing a value Value = 13 Value = 14 Value = 15
When using the ++ operator, the position of the operator with regard to the variable it is modifying can be significant. To increment the value of the variable before re-using it, you should position the operator on the left of the variable: // This program studies value incrementing using System; public class Exercise { static int Main() { var Value = 12; Console.WriteLine("Techniques of incrementing a value"); Console.Write("Value = "); Console.WriteLine(Value); Console.Write("Value = "); Console.WriteLine(++Value); Console.Write("Value = "); Console.WriteLine(Value); return 0; } } This would produce: Techniques of incrementing a value Value = 12 Value = 13 Value = 13 When writing ++Value, the value of the variable is incremented before being called. On the other hand, if you want to first use a variable, then increment it, in other words, if you want to increment the variable after calling it, position the increment operator on the right side of the variable: // This program studies value incrementing using System; public class Exercise { static int Main() { var Value = 12; Console.WriteLine("Techniques of incrementing a value"); Console.Write("Value = "); Console.WriteLine(Value); Console.Write("Value = "); Console.WriteLine(Value++); Console.Write("Value = "); Console.WriteLine(Value); return 0; } } This would produce: Techniques of incrementing a value Value = 12 Value = 12 Value = 13
When counting numbers backward, such as 8, 7, 6, 5, etc, we are in fact subtracting 1 from a value in order to get the lesser value. This operation is referred to as decrementing a value. This operation works as if a value is decremented by 1, as in Value = Value – 1: // This program studies value decrementing using System; public class Exercise { static int Main() { var Value = 12; Console.WriteLine("Techniques of decrementing a value"); Console.Write("Value = "); Console.WriteLine(Value); Value = Value - 1; Console.Write("Value = "); Console.WriteLine(Value); return 0; } } This would produce: Techniques of decrementing a value Value = 12 Value = 11 As done to increment, C# provides a quicker way of subtracting 1 from a value. This is done using the decrement operator, that is --. To use the decrement operator, type –- on the left or the right side of the variable when this operation is desired. Using the decrement operator, the above program could be written: // This program studies value decrementing using System; public class Exercise { static int Main() { var Value = 12; Console.WriteLine("Techniques of decrementing a value"); Console.Write("Value = "); Console.WriteLine(Value); Value--; Console.Write("Value = "); Console.WriteLine(Value); return 0; } }
Once again, the position of the operator can be important. If you want to decrement the variable before calling it, position the decrement operator on the left side of the operand. This is illustrated in the following program: // This program studies value decrementing using System; public class Exercise { static int Main() { var Value = 12; Console.WriteLine("Techniques of decrementing a value"); Console.Write("Value = "); Console.WriteLine(Value); Console.Write("Value = "); Console.WriteLine(--Value); Console.Write("Value = "); Console.WriteLine(Value); return 0; } } This would produce: Techniques of decrementing a value Value = 12 Value = 11 Value = 11 If you plan to decrement a variable only after it has been accessed, position the operator on the right side of the variable. Here is an example: // This program studies value decrementing using System; public class Exercise { static int Main() { var Value = 12; Console.WriteLine("Techniques of decrementing a value"); Console.Write("Value = "); Console.WriteLine(Value); Console.Write("Value = "); Console.WriteLine(Value--); Console.Write("Value = "); Console.WriteLine(Value); return 0; } } This would produce: Techniques of decrementing a value Value = 12 Value = 12 Value = 11
It is not unusual to add or subtract a constant value to or from a variable. All you have to do is to declare another variable that would hold the new value. Here is an example: // This program studies value incrementing and decrementing using System; public class Exercise { static int Main() { double Value = 12.75; double NewValue; Console.WriteLine("Techniques of incrementing and decrementing a value"); Console.Write("Value = "); Console.WriteLine(Value); NewValue = Value + 2.42; Console.Write("Value = "); Console.WriteLine(NewValue); return 0; } } This would produce: Techniques of incrementing and decrementing a value Value = 12.75 Value = 15.17 The above technique requires that you use an extra variable in your application. The advantage is that each value can hold its own value although the value of the second variable depends on whatever would happen to the original or source variable. Sometimes in your program you will not need to keep the original value of the source variable. You may want to permanently modify the value that a variable is holding. In this case you can perform the addition operation directly on the variable by adding the desired value to the variable. This operation modifies whatever value a variable is holding and does not need an additional variable. To add a value to a variable and change the value that the variable is holding, you can combine the assignment “=” and the addition “+” operators to produce a new operator as += Here is an example: // This program studies value incrementing and decrementing using System; public class Exercise { static int Main() { var Value = 12.75; Console.WriteLine("Techniques of incrementing and decrementing a value"); Console.Write("Value = "); Console.WriteLine(Value); Value += 2.42; Console.Write("Value = "); Console.WriteLine(Value); return 0; } } This program produces the same result as the previous. To decrement the value of a variable, instead of the addition, use the subtraction and apply the same technique. In the above program, the variable can have its value decremented by combining the assignment and the subtraction operations on the variable. This is done with the -= operator. Here is an example: // This program studies value incrementing and decrementing using System; public class Exercise { static int Main() { var Value = 12.75; Console.WriteLine("Techniques of incrementing and decrementing a value"); Console.Write("Value = "); Console.WriteLine(Value); Value -= 2.42; Console.Write("Value = "); Console.WriteLine(Value); return 0; } } This would produce: Techniques of incrementing and decrementing a value Value = 12.75 Value = 10.33
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