Fundamentals of Programming: Arithmetic operators
Visual Basic .NET provides a basic set of operators to calculate simple arithmetic.
+ Addition - Subtraction * Multiplication / Division \ Integer division Mod Remainder Division ^ Exponentiation & String concatenation 7 + 2 produces 9 7 - 2 produces 5 7 * 2 produces 14 7 / 2 produces 3.5 7 \ 2 produces 3 7 Mod 2 produces 1 7 ^ 2 produces 49 "7" & "7" produces "77"
Let's look at a short example of arithmetic operations before we jump into the operators themselves.
In this example we will also be using some basic variables. The Dim operator creates the variable.
Dim Commission As Single Dim Sales As Single Sales = 3142.51 Commission = 0.3 * Sales ' Calculate 30% commission.
First, we set the total
Sales to 3142.51.
The * operator calculates multiplication, so line 4 is equivalent to multiplying 0.3 and Sales together. Sales is 3142.51, so our result should be the product of 0.3 and 3142.51, and stored in
Why the funny symbols?[edit | edit source]
With the exception of addition and subtraction, the symbols used are different to the ones used in real life. This is simply because the other symbols are not available on a standard keyboard (try and find ÷ ≠ m² on yours!) or the symbol is in the alphabet and can be used for naming a variable (x).
Addition[edit | edit source]
This adds two numbers together, and is denoted by the "+" symbol. If strings are involved it may also do String concatenation, that means sticking the two strings together. Examples:
x = 7 + 2 ' Results in 9. x = 25 + -4 ' Results in 21. Dim StringA As String StringA = "A string" + "Another string" ' Results in "A stringAnother string"
There is a second addition operator, "+=". It increments the variable on the left of the += by the amount indicated on the right.
Dim x As Integer = 54 x += 89 ' result is 143 x += 7 ' result is 150
It also works with Strings as a concatenation operator.
Dim x As String = "A fox" x += " jumped" ' result is "A fox jumped" x += " over the fence" ' result is "A fox jumped over the fence"
Subtraction[edit | edit source]
This subtracts two numbers, and is denoted by the "-" symbol. Examples:
Dim x As Integer x = 7 - 2 ' Results in 5. x = 25 - -4 ' Results in 29.
Multiplication[edit | edit source]
This multiplies two numbers, and is denoted by the "*" symbol. Examples:
Dim x As Integer x = 7 * 2 ' Results in 14. x = 25 * -4 ' Results in -100.
Division[edit | edit source]
There are more types of division than the one denoted by the "/" symbol. There is also integer division and remainder division.
Normal[edit | edit source]
This is the most commonly used form of division and is denoted by the "/" operator. Examples:
Dim x As Single ' (note that we must use the Single class to have decimals) x = 7 / 2 ' Results in 3.5. x = 25 / 4 ' Results in 6.25.
Integer division[edit | edit source]
This divides two numbers, and gives the result without the remainder if the quotient is a decimal. Examples:
Dim x As Integer x = 7 \ 2 ' Results in 3. x = 25 \ 4 ' Results in 6.
Remainder Division[edit | edit source]
This divides two numbers, and gives the result's remainder if the quotient is a decimal. This is denoted by the operator "Mod." Examples:
Dim x As Integer x = 7 Mod 2 ' Results in 1. x = 25 Mod 4 ' Results in 1.
Exponentiation[edit | edit source]
This is raising a number to a power. For example in VB .Net code is:
Dim x As Integer x = 7 ^ 2 ' Results in 49.
This results in the number 49 being assigned to the variable x. It can also be used to calculate the square root of a number. The square root of a number is the number raised to the power of 0.5.
Dim x As Single x = 7 ^ 0.5 ' Results in a number around 2.645.
Note: It is necessary to ensure that the variables be correctly declared to get the desired results. The following example works, but will produce the wrong result. This is because the Integer class does not allow decimal places (just like mathematical integers.)
Dim x As Integer x = 9 ^ 0.5 ' Results in 3.
Since x is declared as an Integer type, the value square root, a real number, is stored incorrectly.
Any nth root of number is the can be calculated by raising the number to the power of :
Dim x As Single Dim n As Single n = 7 x = 2 ^ (1 / n)
This is because .
BODMAS[edit | edit source]
You have probably learnt about the order of operations in maths. BODMAS also applies to computer calculations. This means that when calculating a sum, the program will calculate:
- Order (powers n^2 etc)
console.writeline( (3+4)/7 ) console.writeline( 3+4/7 ) console.writeline( 3+4/7-1 )