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  |