#!/bin/cat

   +-----+-----+-----+-----+-----+
   |  x  |  y  | x&y | x|y | x^y |
   +-----+-----+-----+-----+-----+
   |  0  |  0  |  0  |  0  |  0  |
   |  0  |  1  |  0  |  1  |  1  |
   |  1  |  0  |  0  |  1  |  1  |
   |  1  |  1  |  1  |  1  |  0  |
   +-----+-----+-----+-----+-----+

x&y = 1 when: both need to be 1
x|y = 1 when: one or both needs to be 1
x^y = 1 when: x and y are different