Binary and

hello Likewise, two bits may be combined with and:

x	y	x AND y
0	0	0
0	1	0
1	0	0
1	1	1

I.e. the result is 1, if both x and y are 1, and 0 otherwise. If 0 is equated with false, and 1 with true the bit and operation works like our logical and.

Binary and can work on binary numbers of any size, the numbers are simply anded digit by digit. For example:

      x:  10001101
      y:  01010111
x AND y:  00000101

(Only in the first, and third column from the right, both operands had 1 digits.)

and is often called masking, because y can be seen as a mask which is transparent (1) in some places (x will shine through), and black (0) in others (x will be blocked).

See also

• Bitwise operation
• Logical conjunction

Binary is usually used in computing but also used in electronics.