C++ provides different types of operators. These operators can be used with variables and literals to get the result. You know some basic arithmetical operators such as +, , *, / and %. But there are many other operators provided by C++ Programming Language. All operators can be divided in following categories:
 Arithmetic Operators
 Relational Operators
 Logical Operators
 Bitwise Operators
 Assignment Operators
 Other Operators
Arithmetic Operators
This type of operators are discussed in the article C++ Variable Types. Basic arithmetic operators are +, , *, /, %. In addition to these operators there are 2 operators to increase and decrease value of the variable. The increment operator is ++ and the decrement operator is . These operators can be used as before the variable (prefix) and after the variable (postfix). For example, you can change the values of the variable in the following way:
int a = 0;
++a; //now "a" is 1
cout << a << endl;
a++; //now "a" is 2
cout << a << endl;
a; //decrement a. it's 1 now
cout << a << endl;
a; //decrement a; it is 0 now
cout << a;
cin.ignore();
The output of the program should be the following
1
2
1
0
1
2
1
0
Below code will explain you that preincrement first increments the value then assigns the value to the variable. Post increment first assigns the value then increments it.
a = ++b; // a==4, b==4
a = b++; // a==3, b==4
Below code displays the value of varibles using pre and post increment.
int main()
{
int i = 0;
while(i < 10)
{
cout << i++; //post increment
}
cout << endl;
i = 0;
while(i<10)
{
cout << ++i; //pre increment
}
return 0;
}
Below is the output of above program
0123456789
12345678910
12345678910
Relational Operators
This category of the operators is used to compare different values. The result of the operation is a Boolean value (true or false). The relational operators are used in the following form Operand1operator Operand2, where operands can be some variables or literals that are compared. Here is the list of relational operators:
operator

description
 

==  Equal to  Returns true if the operands are equal. Otherwise false. 
!=  Not equal to  Returns true if the operands are not equal. Otherwise false. 
<  Less than  Returns true if the operand1 is less than operand2. Otherwise false. 
>  Greater than  Returns true if the operand1 is greater than operand2. Otherwise false. 
<=  Less than or equal to  Returns true if the operand1 is less than operand2 or equal to operand 2. Otherwise false. 
>=  Greater than or equal to  Returns true if the operand1 is greater than operand2 or equal to operand 2. Otherwise false. 
Now we can try these operators. Remember, that "cout" outputs 1 for true and 0 for false:
int three = 3;
int five = 5;
cout << " 3 is equal to 5 = " << (three == five) << endl;
cout << " 3 is not equal to 5 = " << (three != five) << endl;
cout << " 3 is less than 5 = " << (three < five) << endl;
cout << " 3 is greater than 5 = " << (three > five) << endl;
cout << " 3 is not less than 5 = " << (three >= five) << endl;
cout << " 3 is not greater than 5 = " << (three <= five) << endl;
The output for above code is:
3 is equal to 5 = 03 is not equal to 5 = 1
3 is less than 5 = 1
3 is greater than 5 = 0
3 is not less than 5 = 0
3 is not greater than 5 = 1
Logical operators
C++ provides 3 operations from Boolean algebra:
and (conjunction) operator
or (disjunction) operator
not (negation) operator
and (conjunction) operator
&&
or (disjunction) operator

not (negation) operator
!
The result of Boolean operations for 2 variables x and y is presented in the following tables:


Here is an example of the use of Boolean operators:
//initialize x with true
bool x = true;
//initialize y with false
bool y = false;
//now x is x AND y (false)
x = x&&y;
Bitwise operators
Bitwise operators are similar to the logic operators, but they perform the same logical operations on bits. All data in memory is represented in the binary form. So, variables in form of bits contains only 0 or 1. The following table represents the result of operations for the bitwise operators:
X  Y  X & Y  X  Y  X ^ Y 
0  0  0  0  0 
0  1  0  1  1 
1  1  1  1  0 
1  0  0  1  1 
C++ provides possibility to use the following bitwise operators:
Binary AND operator "&"
The resultant bit is set to 1 if and only if both variables have 1 in the corresponding bit. Example of binary &:
10100110 & 00101010 = 00100010
Binary OR operator ""
The resultant bit is set to 1 if at least one of the variables has 1 in the corresponding bit. Example of binary :
10100110  00101010 = 10101110
Binary XOR operator "^"
The result bit is set to 1 if only one of the variables has 1 in the corresponding bit. Example of Binary xor:
10100110 ^ 00101010 = 10001100
Binary NOT operator "~"
Flips the bits of the variable. For Example:
~10100110 = 01011001
Binary Left Shift Operator "<< N"
Will shift 'N' number of bits to the left. In simple words, N number of bits from the Left will be removed and N number of Zeros will be added to the Right. For Example:
10100110 << 3 = 00110000
Binary Right Shift Operator ">> N"
Will shift 'N' number of bits to the right. In simple words, N number of bits from the Right will be removed and N number of Zeros will be added to the Left. For Example:
10100110 >> 2 = 00101001
Assignment Operations
The operator "=" is an assignment operator in C++ and it assigns a value to the objects on the left. C++ provides capability to combine assignment operator with almost all the operation we have discussed above and forms a "Composite Assignment Operator". For example we can add a value to a variable as shown below
int k = 9;
//normal way of adding value
k = k + 7;
//you can add value in a more compact way by combining two operators
//Composite assignment will be
k += 7; // this is equal to k = k + 7
Composite assignment can be represented in a form:
Expression1 compositeassignmentoperator Expression2
where compositeassignmentoperator can be one of the following.
Let X = 10 initially for the below examples
Composite Assignment
Operator 
Example

Is Equivalent to

Output


+=  X += 2  X = X + 2  12 
=  X = 2  X = X  2  8 
*=  X *= 2  X = X * 2  20 
/=  X /= 2  X = X / 2  5 
%=  X %= 2  X = X % 2  0 
<<=  X <<= 2  X = X << 2  40 
>>=  X >>= 2  X = X >> 2  2 
&=  X &= 2  X = X & 2  2 
^=  X ^= 2  X = X ^ 2  8 
=  X = 2  X = X  2  10 
It is suggested to use Composite Assignment Operator for more efficient code
X +=10; // will be faster than X = X + 10
X = X + 10; // will be slower than X += 10
Other operators
There are some operators that are not included in any categories listed above, but they are useful and can be used in your programs:
"sizeof" Operator
sizeof operator returns the size of the variable or type. Here "size" means how many bytes of memory is being used by a variable or type.
cout << sizeof(int) << endl; // will print 4
cout << sizeof(x) << endl; // will print size of x
Coma (",") Operator
Coma "," Operator is used when you need to perform a sequence of operations. You used it when initialized a list of variable of the same type:
double a = 2.0,
b = 4.3,
c = 2;
Operators Precedence in C++
Operator precedence determines how an expression is evaluated. Some operators will have higher precedence than others. For example, multiplication operator will have higher precedence than addition operator.
For example a = 2 + 3 * 5; here, a will be assigned 17, not 25 because operator * has higher precedence than +, so 3*5 gets multiplied first and then 2 gets added to the multiplication result of 3*5.
In the table below, operators with the highest precedence appear at the top of the table and operators with the lowest precedence appear at the bottom. In the expression, higher precedence operators will be evaluated first.
Operator

Category

Associativity

Precedence


() [] > . ++    Postfix  Left to right 
Highest

+  ! ~ ++   (type)* & sizeof  Unary  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 
Lowest

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