An operator is a symbol that tells the compiler to perform specific mathematical or logical manipulations. C++ is rich in built-in operators and provides the following types of operators:

Arithmetic Operators

Relational Operators

Logical Operators

Bitwise Operators

Assignment Operators

Misc Operators

### Arithmetic Operators:

There are following arithmetic operators supported by C++ language:

Operator | Description | Example |

+ | Adds two operands | A + B will give 30 |

- | Subtracts second operand from the first | A - B will give -10 |

* | Multiplies both operands | A * B will give 200 |

/ | Divides numerator by de-numerator | B / A will give 2 |

% | Modulus Operator and remainder of after an integer division | B % A will give 0 |

++ | Increment operator, increases integer value by one | A++ will give 11 |

-- | Decrement operator, decreases integer value by one | A-- will give 9 |

### Relational Operators:

There are following relational operators supported by C++ language

Operator | Description | Example |

== | Checks if the values of two operands are equal or not, if yes then condition becomes true. | (A == B) is not true. |

!= | Checks if the values of two operands are equal or not, if values are not equal then condition becomes true. | (A != B) is true. |

> | Checks if the value of left operand is greater than the value of right operand, if yes then condition becomes true. | (A > B) is not true. |

< | Checks if the value of left operand is less than the value of right operand, if yes then condition becomes true. | (A < B) is true. |

>= | Checks if the value of left operand is greater than or equal to the value of right operand, if yes then condition becomes true. | (A >= B) is not true. |

<= | Checks if the value of left operand is less than or equal to the value of right operand, if yes then condition becomes true. | (A <= B) is true. |

### Logical Operators:

There are following logical operators supported by C++ language

Operator | Description | Example |

&& | Called Logical AND operator. If both the operands are non-zero, then condition becomes true. | (A && B) is false. |

|| | Called Logical OR Operator. If any of the two operands is non-zero, then condition becomes true. | (A || B) is true. |

! | Called Logical NOT Operator. Use to reverses the logical state of its operand. If a condition is true, then Logical NOT operator will make false. | !(A && B) is true. |

### Bitwise Operators:

Bitwise operator works on bits and perform bit-by-bit operation. The truth tables for &, |, and ^ are as follows:

p | q | p & q | p | q | p ^ q |

0 | 0 | 0 | 0 | 0 |

0 | 1 | 0 | 1 | 1 |

1 | 1 | 1 | 1 | 0 |

1 | 0 | 0 | 1 | 1 |

Assume if A = 60; and B = 13; now in binary format they will be as follows:

A = 0011 1100

B = 0000 1101

-----------------

A&B = 0000 1100

A|B = 0011 1101

A^B = 0011 0001

~A = 1100 0011

Operator | Description | Example |

& | Binary AND Operator copies a bit to the result if it exists in both operands. | (A & B) will give 12 which is 0000 1100 |

| | Binary OR Operator copies a bit if it exists in either operand. | (A | B) will give 61 which is 0011 1101 |

^ | Binary XOR Operator copies the bit if it is set in one operand but not both. | (A ^ B) will give 49 which is 0011 0001 |

~ | Binary Ones Complement Operator is unary and has the effect of 'flipping' bits. | (~A ) will give -61 which is 1100 0011 in 2's complement form due to a signed binary number. |

<< | Binary Left Shift Operator. The left operands value is moved left by the number of bits specified by the right operand. | A << 2 will give 240 which is 1111 0000 |

>> | Binary Right Shift Operator. The left operands value is moved right by the number of bits specified by the right operand. | A >> 2 will give 15 which is 0000 1111 |

### Assignment Operators:

There are following assignment operators supported by C++ language:

Operator | Description | Example |

= | Simple assignment operator, Assigns values from right side operands to left side operand | C = A + B will assign value of A + B into C |

+= | Add AND assignment operator, It adds right operand to the left operand and assign the result to left operand | C += A is equivalent to C = C + A |

-= | Subtract AND assignment operator, It subtracts right operand from the left operand and assign the result to left operand | C -= A is equivalent to C = C - A |

*= | Multiply AND assignment operator, It multiplies right operand with the left operand and assign the result to left operand | C *= A is equivalent to C = C * A |

/= | Divide AND assignment operator, It divides left operand with the right operand and assign the result to left operand | C /= A is equivalent to C = C / A |

%= | Modulus AND assignment operator, It takes modulus using two operands and assign the result to left operand | C %= A is equivalent to C = C % A |

<<= | Left shift AND assignment operator | C <<= 2 is same as C = C << 2 |

>>= | Right shift AND assignment operator | C >>= 2 is same as C = C >> 2 |

&= | Bitwise AND assignment operator | C &= 2 is same as C = C & 2 |

^= | bitwise exclusive OR and assignment operator | C ^= 2 is same as C = C ^ 2 |

|= | bitwise inclusive OR and assignment operator | C |= 2 is same as C = C | 2 |

### Misc Operators

Operator | Description |

sizeof | sizeof operator returns the size of a variable. For example, sizeof(a), where a is integer, will return 4. |

Condition ? X : Y | Conditional operator. If Condition is true ? then it returns value X : otherwise value Y |

, | Comma operator causes a sequence of operations to be performed. The value of the entire comma expression is the value of the last expression of the comma-separated list. |

. (dot) and -> (arrow) | Member operators are used to reference individual members of classes, structures, and unions. |

Cast | Casting operators convert one data type to another. For example, int(2.2000) would return 2. |

& | Pointer operator & returns the address of an variable. For example &a; will give actual address of the variable. |

* | Pointer operator * is pointer to a variable. For example *var; will pointer to a variable var. |

### Operators Precedence in C++:

Operator precedence determines the grouping of terms in an expression. This affects how an expression is evaluated. Certain operators have higher precedence than others; for example, the multiplication operator has higher precedence than the addition operator:

For example x = 7 + 3 * 2; here, x is assigned 13, not 20 because operator * has higher precedence than +, so it first gets multiplied with 3*2 and then adds into 7.

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 |