# Bits Library Functions in the Bits library. ### @parent td/language The binary numeral system represents numeric values using values 0 and 1. This is how almost all modern computers store data. Each 0 or 1 digit is called a binary digit, or bit for short. The Bits library includes functions for bit-level manipulation of integers. In the [Touch Develop editor](/javascript/editor), click `bits` to see the following bit functions: ## Bitwise and, or, and xor functions #### Syntax bits `->` *and/or/xor* uint32 (x : [Number](/types/number), y : [Number](/types/number)) *returns* [Number](/types/number) #### Parameters * x - an unsigned 32 bit integer [Number](/types/number) * y - another unsigned 32 bit integer [Number](/types/number) ### and uint32 performs bitwise AND; returns `1` at position i if both bits *x[i]* and *y[i]* are `1`, otherwise returns `0`. ### or uint32 performs bitwise OR; returns `1` at position *i* if either bit *x[i]* or *y[i]* is `1`, otherwise returns `0`. ### xor uint32 performs bitwise exclusive XOR; returns `1` at position *i* if *x[i]=1 and y[i]=0* or *x[i] = 0 and y[i] =1*; returns `0` otherwise ## Rotate left and rotate right Rotate bits to the left or the right, by the specified number of positions. #### Syntax bits `->` rotate left unint32 (x : [Number](/types/number), bits : [Number](/types/number)) *returns* [Number](/types/number) bits `->` rotate right unint32 (x : [Number](/types/number), bits : [Number](/types/number)) *returns* [Number](/types/number) #### Parameters * x - [Number](/types/number); * bits - [Number](/types/number); ## Shift left and shift right Shift bits to the left or the right, by the specified number of positions. #### Syntax bits `->` shift left unint32 (x : [Number](/types/number), bits : [Number](/types/number)) *returns* [Number](/types/number) bits `->` shift right unint32 (x : [Number](/types/number), bits : [Number](/types/number)) *returns* [Number](/types/number) #### Parameters * x - [Number](/types/number); * bits - [Number](/types/number); ### See also [statements and operators](/javascript/statements), [math functions](/javascript/math), [Number](/types/number)