Appendix C

Boolean algebra

C.1 Laws of Boolean algebra

Boolean algebra involves the binary digits 1 and 0 and the operations ·, + and the inverse. The laws of this algebra are outlined below:

  1. Anything ORed with itself is equal to itself: A + A = A.
  2. Anything ANDed with itself is equal to itself: A · A = A.
  3. It does not matter in which order we consider inputs for OR and AND gates, e.g.
    images
  4. As the following truth table indicates:
    images
    images
  5. Likewise we can ...

Get Mechatronics: Electronic Control Systems In Mechanical and Electrical Engineering, 7th Edition by Pearson now with the O’Reilly learning platform.

O’Reilly members experience books, live events, courses curated by job role, and more from O’Reilly and nearly 200 top publishers.