# Bitwise operators in Java

Bitwise operators are used to perform manipulation of individual bits of a number. They can be used with any of the integral types (char, short, int, etc). They are used when performing update and query operations of Binary indexed tree.

**Bitwise OR (|) –**

This operator is binary operator, denoted by ‘|’. It returns bit by bit OR of input values, i.e, if either of the bits is 1, it gives 1, else it gives 0.

For example,a = 5 = 0101 (In Binary) b = 7 = 0111 (In Binary) Bitwise OR Operation of 5 and 7 0101 | 0111 ________ 0111 = 7 (In decimal)

**Bitwise AND (&) –**

This operator is binary operator, denoted by ‘&’. It returns bit by bit AND of input values, i.e, if both bits are 1, it gives 1, else it gives 0.

For example,a = 5 = 0101 (In Binary) b = 7 = 0111 (In Binary) Bitwise AND Operation of 5 and 7 0101 & 0111 ________ 0101 = 5 (In decimal)

**Bitwise XOR (^) –**

This operator is binary operator, denoted by ‘^’. It returns bit by bit XOR of input values, i.e, if corresponding bits are different, it gives 1, else it gives 0.

For example,a = 5 = 0101 (In Binary) b = 7 = 0111 (In Binary) Bitwise XOR Operation of 5 and 7 0101 ^ 0111 ________ 0010 = 2 (In decimal)

**Bitwise Complement (~) –**

This operator is unary operator, denoted by ‘~’. It returns the one’s compliment representation of the input value, i.e, with all bits inversed, means it makes every 0 to 1, and every 1 to 0.

For example,a = 5 = 0101 (In Binary) Bitwise Compliment Operation of 5 ~ 0101 ________ 1010 = 10 (In decimal)

**Note –**Compiler will give 2’s complement of that number, i.e., 2’s compliment of 10 will be -6.

`// Java program to illustrate ` `// bitwise operators ` `public` `class` `operators { ` ` ` `public` `static` `void` `main(String[] args) ` ` ` `{ ` ` ` `//Initial values ` ` ` `int` `a = ` `5` `; ` ` ` `int` `b = ` `7` `; ` ` ` ` ` `// bitwise and ` ` ` `// 0101 & 0111=0101 = 5 ` ` ` `System.out.println(` `"a&b = "` `+ (a & b)); ` ` ` ` ` `// bitwise or ` ` ` `// 0101 | 0111=0111 = 7 ` ` ` `System.out.println(` `"a|b = "` `+ (a | b)); ` ` ` ` ` `// bitwise xor ` ` ` `// 0101 ^ 0111=0010 = 2 ` ` ` `System.out.println(` `"a^b = "` `+ (a ^ b)); ` ` ` ` ` `// bitwise and ` ` ` `// ~0101=1010 ` ` ` `// will give 2's complement of 1010 = -6 ` ` ` `System.out.println(` `"~a = "` `+ ~a); ` ` ` ` ` `// can also be combined with ` ` ` `// assignment operator to provide shorthand ` ` ` `// assignment ` ` ` `// a=a&b ` ` ` `a &= b; ` ` ` `System.out.println(` `"a= "` `+ a); ` ` ` `} ` `} ` |

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**Output :**

a&b = 5 a|b = 7 a^b = 2 ~a = -6 a= 5

**Shift Operators:** These operators are used to shift the bits of a number left or right thereby multiplying or dividing the number by two respectively. They can be used when we have to multiply or divide a number by two. General format:

numbershift_opnumber_of_places_to_shift;

**Signed Right shift operator (>>) –**

Shifts the bits of the number to the right and fills 0 on voids left as a result. The leftmost bit depends on the sign of initial number. Similar effect as of dividing the number with some power of two.

For example,Example 1: a = 10 a>>1 = 5 Example 2: a = -10 a>>1 = -5 We preserve the sign bit.

**Unsigned Right shift operator (>>>) –**

Shifts the bits of the number to the right and fills 0 on voids left as a result. The leftmost bit is set to 0. (>>>) is unsigned-shift; it’ll insert 0. (>>) is signed, and will extend the sign bit.

For example,Example 1: a = 10 a>>>1 = 5 Example 2: a = -10 a>>>1 = 2147483643 DOES NOT preserve the sign bit.

**Left shift operator (<<) –**

Shifts the bits of the number to the left and fills 0 on voids left as a result. Similar effect as of multiplying the number with some power of two.

For example,a = 5 = 0000 0101 b = -10 = 1111 0110 a << 1 = 0000 1010 = 10 a << 2 = 0001 0100 = 20 b << 1 = 0000 1010 = -20 b << 2 = 0001 0100 = -40

**Unsigned Left shift operator (<<<) –**

Unlike unsigned Right Shift, there is no “<<<" operator in Java, because the logical (<<) and arithmetic left-shift (<<<) operations are identical.

`// Java program to illustrate ` `// shift operators ` `public` `class` `operators { ` ` ` `public` `static` `void` `main(String[] args) ` ` ` `{ ` ` ` ` ` `int` `a = ` `5` `; ` ` ` `int` `b = -` `10` `; ` ` ` ` ` `// left shift operator ` ` ` `// 0000 0101<<2 =0001 0100(20) ` ` ` `// similar to 5*(2^2) ` ` ` `System.out.println(` `"a<<2 = "` `+ (a << ` `2` `)); ` ` ` ` ` `// right shift operator ` ` ` `// 0000 0101 >> 2 =0000 0001(1) ` ` ` `// similar to 5/(2^2) ` ` ` `System.out.println(` `"b>>2 = "` `+ (b >> ` `2` `)); ` ` ` ` ` `// unsigned right shift operator ` ` ` `System.out.println(` `"b>>>2 = "` `+ (b >>> ` `2` `)); ` ` ` `} ` `} ` |

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**Output :**

a<<2 = 20 b>>2 = -3 b>>>2 = 1073741821

Refer for – other Operators in Java

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