Preview lessons, content and tests

Computer Science & Programming solved. All in one platform.

1. To trial the platform and take tests, please take a few seconds to SIGN UP and SET UP FREE.
2. Searching for something specific? See our text overview of all tests. Includes 'real teacher' use videos.

Level

Advanced (A Level)

Topic

19 - Boolean Algebra

Test

04 - Commutation

Commutation

The commutative law states that the inter-changing of the order of operands in a Boolean equation does not change its result.

  • Using the OR operator → A + B = B + A
  • Using the AND operator → A * B = B * A

PowerPoint Presentation

Quick Reference

Commutative Law

(a) A + B = B + A
(b) A B = B A

 Associate Law

(a) (A + B) + C = A + (B + C)
(b) (A B) C = A (B C)

 Distributive Law

(a) A (B + C) = A B + A C
(b) A + (B C) = (A + B) (A + C)

 Identity Law

(a) A + A = A
(b) A A = A

(a) 
(b) 

 Redundance Law

(a) A + A B = A
(b) A (A + B) = A

(a) 0 + A = A
(b) 0 A = 0

(a) 1 + A = 1
(b) 1 A = A

(a) 
(b) 

(a) 
(b) 

 De Morgan's Theorem

(a) 
(b) 

www.teachyourselfpython.com