# Operators and Expression

By Bipin Tiwari

An operator is a symbol which helps the user to command the computer to do a certain mathematical or

logical manipulations. Operators are used in C language program to operate on data and variables. C

has a rich set of operators which can be classified as

- Arithmetic operators
- Relational Operators
- Logical Operators
- Assignment Operators
- Unary Operators
- Conditional Operators
- Bitwise Operators
- Special Operators

### 1. Arithmetic Operators

All the basic arithmetic operations can be carried out in C. All the operators have almost the same meaning as in other languages. Both unary and binary operations are available in C language. Unary operations operate on a singe operand, therefore the number 5 when operated by unary – will have the value –5.

Operator |
Meaning |

+ | Addition or Unary Plus |

– | Subtraction or Unary Minus |

* | Multiplication |

/ | Division |

% | Modulus Operator |

Examples of arithmetic operators are

x + y

x – y

-x + y

a * b + c

-a * b

etc., here a, b, c, x, y are known as operands. The modulus operator is a special operator in C language

which evaluates the remainder of the operands after division.

**Example**

#include<stdio.h> void main(){ int numb1, num2, sum, sub, mul, div, mod; scanf (“%d %d”, &num1, &num2); //addition of numbers and storing in sum. sum = num1 + num2; printf("\n Thu sum is = %d", sum); //subtraction of numbers and storing in sub. sub = num1 - num2; printf("\n Thu difference is = %d", sub); //display the output //multiplication of numbers and storing in mul. mul = num1 * num2; printf("\n Thu product is = %d", mul); //division of numbers and storing in div. div = num1 / num2; printf("\n Thu division is = %d", div); //modulus of numbers and storing in mod. mod = num1 % num2; printf("\n Thu modulus is = %d", mod); }

**Integer Arithmetic**

When an arithmetic operation is performed on two whole numbers or integers than such an operation is called as integer arithmetic. It always gives an integer as the result. Let x = 27 and y = 5 be 2 integer numbers. Then the integer operation leads to the following results.

x + y = 32

x – y = 22

x * y = 115

x % y = 2

x / y = 5

In integer division the fractional part is truncated.

**Floating point arithmetic**

When an arithmetic operation is preformed on two real numbers or fraction numbers such an operation is called floating point arithmetic. The floating point results can be truncated according to the properties requirement. The remainder operator is not applicable for floating point arithmetic operands.

Let x = 14.0 and y = 4.0 then

x + y = 18.0

x – y = 10.0

x * y = 56.0

x / y = 3.50

**Mixed mode arithmetic**

When one of the operand is real and other is an integer and if the arithmetic operation is carried out on these 2 operands then it is called as mixed mode arithmetic. If any one operand is of real type then the result will always be real thus 15/10.0 = 1.5

### 2. Relational Operators

Often it is required to compare the relationship between operands and bring out a decision and program accordingly. This is when the relational operator come into picture. C supports the following relational operators.

Operator |
Meaning |

< | is less than |

<= | is less than or equal to |

> | is greater than |

>= | is greater than or equal to |

== | is equal to |

!= | is not equal to |

It is required to compare the marks of 2 students, salary of 2 persons, we can compare them using relational operators.

A simple relational expression contains only one relational operator and takes the following form.

exp1 relational operator exp2

Where exp1 and exp2 are expressions, which may be simple constants, variables or combination of them. Given below is a list of examples of relational expressions and evaluated values.

6.5 <= 25 TRUE

-65 > 0 FALSE

10 < 7 + 5 TRUE

Relational expressions are used in decision making statements of C language such as if, while and for

statements to decide the course of action of a running program.

### 3. Logical Operators

C has the following logical operators, they compare or evaluate logical and relational expressions.

Operator |
Meaning |

&& | Logical AND |

|| | Logical OR |

! | Logical NOT |

**Logical AND (&&)**

This operator is used to evaluate 2 conditions or expressions with relational operators simultaneously. If both the expressions to the left and to the right of the logical operator is true then the whole compound expression is true.

**Example**

a > b && x = = 10

The expression to the left is a > b and that on the right is x == 10 the whole expression is true only if both expressions are true i.e., if a is greater than b and x is equal to 10.

**Logical OR (||)**

The logical OR is used to combine 2 expressions or the condition evaluates to true if any one of the 2

expressions is true.

**Example**

a < m || a < n

The expression evaluates to true if any one of them is true or if both of them are true. It evaluates to true

if a is less than either m or n and when a is less than both m and n.

**Logical NOT (!)**

The logical not operator takes single expression and evaluates to true if the expression is false an evaluates to false if the expression is true. In other words it just reverses the value of the expression.

**For example**

! (x >= y) the NOT expression evaluates to true only if the value of x is neither greater than or equal to y

### 4. Assignment Operators

The Assignment Operator evaluates an expression on the right of the expression and substitutes it to the

value or variable on the left of the expression.

**Example**

x = a + b

Here the value of a + b is evaluated and substituted to the variable x. In addition, C has a set of shorthand assignment operators of the form.

var oper = exp;

Here var is a variable, exp is an expression and oper is a C binary arithmetic operator. The operator oper = is known as shorthand assignment operator.

**Example**

x + = 1 is same as x = x + 1

The commonly used shorthand assignment operators are as follows Shorthand assignment operators.

Statement with simple assignment operator |
Statement with shorthand operator |

a = a + 1 | a += 1 |

a = a – 1 | a -= 1 |

a = a * (n+1) | a *= (n+1) |

a = a / (n+1) | a /= (n+1) |

a = a % b | a %= b |

Example for using shorthand assignment operator

#include<stdio.h> #define N 100 #define A 2 void main(){ int a; a = A; while (a < N) { printf("%d \n", a); //shorthand form of a = a * a a *= a; } }

**Output**

2 4 16

### 5. Unary Operators

The increment and decrement operators are one of the unary operators which are very useful in C language. They are extensively used in for and while loops. The syntax of the operators is given below

- ++ variable name
- variable name++
- – –variable name
- variable name– –

The increment operator ++ adds the value 1 to the current value of operand and the decrement operator – – subtracts the value 1 from the current value of operand. ++variable name and variable name++ mean the same thing when they form statements independently, they behave differently when they are used in expression on the right hand side of an assignment statement.

Consider the following

m = 5;

y = ++m; (prefix)

In this case the value of y and m would be 6

Suppose if we rewrite the above statement as

m = 5;

y = m++; (post fix)

Then the value of y will be 5 and that of m will be 6. A prefix operator first adds 1 to the operand and then the result is assigned to the variable on the left. On the other hand, a postfix operator first assigns the value to the variable on the left and then increments the operand.

### 6. Conditional or Ternary Operator

The conditional operator consists of 2 symbols the question mark (?) and the colon (:)

The syntax for a ternary operator is as follows

exp1 ? exp2 : exp3

The ternary operator works as follows

exp1 is evaluated first. If the expression is true then exp2 is evaluated & its value becomes the value of the expression. If exp1 is false, exp3 is evaluated and its value becomes the value of the expression.

Note that only one of the expression is evaluated.

**For example**

a = 10; b = 15; x = (a > b) ? a : b

Here x will be assigned to the value of b. The condition follows that the expression is false therefore b

is assigned to x.

#include<stdio.h> void main(){ int i,j,larger; printf ("Input 2 integers : "); scanf("%d %d",&i, &j); larger = i > j ? i : j; printf("The largest of two numbers is %d \n", larger); }

**Output**

Input 2 integers : 34 45

The largest of two numbers is 45

### 7. Bitwise Operators

C has a distinction of supporting special operators known as bitwise operators for manipulation data at

bit level. A bitwise operator operates on each bit of data. Those operators are used for testing,

complementing or shifting bits to the right on left. Bitwise operators may not be applied to a float or

double.

Operator |
Meaning |

& | Bitwise AND |

| | Bitwise OR |

^ | Bitwise Exclusive |

<< | Shift left |

>> | Shift right |

### 8. Special Operators

C supports some special operators of interest such as comma operator, size of operator, pointer operators (& and *) and member selection operators (. and ->). The size of and the comma operators are discussed here. The remaining operators are discussed in forth coming chapters.

**The Comma Operator**

The comma operator can be used to link related expressions together. A comma-linked list of

expressions are evaluated left to right and value of right most expression is the value of the combined

expression.

For example the statement

value = (x = 10, y = 5, x + y);

First assigns 10 to x and 5 to y and finally assigns 15 to value. Since comma has the lowest precedence

in operators the parenthesis is necessary. Some examples of comma operator are

In for loops:

for (n=1, m=10; n <=m; n++,m++)

In while loops

While (c=getchar(), c != ‘10’)

Exchanging values

t = x, x = y, y = t;

**The sizeof Operator**

The operator size of gives the size of the data type or variable in terms of bytes occupied in the

memory. The operand may be a variable, a constant or a data type qualifier.

**Example**

m = sizeof (sum);

n = sizeof (long int);

k = sizeof (235L);

The size of operator is normally used to determine the lengths of arrays and structures when their sizes

are not known to the programmer. It is also used to allocate memory space dynamically to variables

during the execution of the program.

Example program that employs different kinds of operators. The results of their evaluation are also shown in comparison

#include<stdio.h> void main() { int a, b, c, d; a = 15; b = 10; c = ++a-b; printf (“a = %d, b = %d, c = %d\n”, a,b,c); d=b++ + a; printf (“a = %d, b = %d, d = %d\n, a,b,d); printf (“a / b = %d\n, a / b); printf (“a %% b = %d\n, a % b); printf (“a *= b = %d\n, a *= b); printf (“%d\n, (c > d) ? 1 : 0 ); printf (“%d\n, (c < d) ? 1 : 0 ); }

Notice the way the increment operator ++ works when used in an expression. In the statement c = ++a –

b; new value a = 16 is used thus giving value 6 to C. That is a is incremented by 1 before using in

expression.

However in the statement d = b++ + a; The old value b = 10 is used in the expression. Here b is

incremented after it is used in the expression.

We can print the character % by placing it immediately after another % character in the control string.

This is illustrated by the statement.

printf(“a %% b = %d\n”, a%b);

This program also illustrates that the expression

c > d ? 1 : 0

Assumes the value 0 when c is less than d and 1 when c is greater than d.

## C Expressions

### Arithmetic Expressions

An expression is a combination of variables constants and operators written according to the syntax of C language. In C every expression evaluates to a value i.e., every expression results in some value of a certain type that can be assigned to a variable. Some examples of C expressions are shown in the table given below.

Algebraic Expression |
C Expression |

a x b – c | a * b – c |

(m + n) (x + y) | (m + n) * (x + y) |

(ab / c) | a * b / c |

3x^{2} + 2x + 1 |
3*x*x+2*x+1 |

(x / y) + c | x / y + c |

**Evaluation of Expressions**

Expressions are evaluated using an assignment statement of the form

Variable = expression;

Variable is any valid C variable name. When the statement is encountered, the expression is evaluated

first and then replaces the previous value of the variable on the left hand side. All variables used in the

expression must be assigned values before evaluation is attempted.

**Example of evaluation statements are**

x = a * b – c

y = b / c * a

z = a – b / c + d;

The following program illustrates the effect of presence of parenthesis in expressions.

main () { float a, b, c x, y, z; a = 9; b = 12; c = 3; x = a – b / 3 + c * 2 – 1; y = a – b / (3 + c) * (2 – 1); z = a – ( b / (3 + c) * 2) – 1; printf (“x = %fn”,x); printf (“y = %fn”,y); printf (“z = %fn”,z); }

**output**

x = 10.00

y = 7.00

z = 4.00

**Precedence in Arithmetic Operators**

An arithmetic expression without parenthesis will be evaluated from left to right using the rules of

precedence of operators. There are two distinct priority levels of arithmetic operators in C.

High priority * / %

Low priority + –

Rules for evaluation of expression

- First parenthesized sub expression left to right are evaluated.
- If parenthesis are nested, the evaluation begins with the innermost sub expression.
- The precedence rule is applied in determining the order of application of operators in evaluating sub

expressions. - The associability rule is applied when two or more operators of the same precedence level appear in

the sub expression. - Arithmetic expressions are evaluated from left to right using the rules of precedence.
- When Parenthesis are used, the expressions within parenthesis assume highest priority.

**Operator precedence and associativity**

Each operator in C has a precedence associated with it. The precedence is used to determine how an

expression involving more than one operator is evaluated. There are distinct levels of precedence and an

operator may belong to one of these levels. The operators of higher precedence are evaluated first.

The operators of same precedence are evaluated from right to left or from left to right depending on the

level. This is known as associativity property of an operator.

The table given below gives the precedence of each operator.

Category |
Operator |
Associativity |

Postfix | () [] -> . ++ – – | Left to right |

Unary | + – ! ~ ++ – – (type) * & sizeof | Right to left |

Multiplicative | * / % | Left to right |

Additive | + – | Left to right |

Shift | << >> | Left to right |

Relational | < <= > >= | Left to right |

Equality | == != | Left to right |

Bitwise AND | & | Left to right |

Bitwise XOR | ^ | Left to right |

Bitwise OR | | | Left to right |

Logical AND | && | Left to right |

Logical OR | || | Left to right |

Conditional | ?: | Right to left |

Assignment | = += -= *= /= %= >>= <<= &= ^= |= | Right to left |

Comma | , | Left to right |