Version 1.0, August 31, 2001, Copyright, Hugh Jack 1993-2001

24.2.3 Boolean Operations

 

· In most discrete systems the inputs and outputs (I/O) are either on or off. This is a binary state that will be represented with,

 

1 = on

0 = off

 

· Because there are many inputs and outputs, these can be grouped (for convenience) into binary numbers.

 

· Consider an application of binary numbers. There are three motors M1, M2 and M3

  1. 100 = Motor 1 is the only one on
  2. 111 = All three motors are on
  3. in total there are 2n or 23 possible combinations of motors on.

 

· The most common Binary operations are,