BACK

LOGIC GATES THEOREMS - LAWS

.

Boolean
Expression
Description Equivalent
Switching Circuit
Boolean Algebra
Law or Rule
A + 1 = 1 A in parallel with
closed = "CLOSED"
universal parallel circuit Annulment
A + 0 = A A in parallel with
open = "A"
universal parallel Identity
A . 1 = A A in series with
closed = "A"
universal series circuit Identity
A . 0 = 0 A in series with
open = "OPEN"
universal series Annulment
A + A = A A in parallel with
A = "A"
idempotent parallel circuit Idempotent
A . A = A A in series with
A = "A"
idempotent series circuit Idempotent
NOT A = A NOT NOT A
(double negative) = "A"
  Double Negation
A + A = 1 A in parallel with
NOT A = "CLOSED"
complement parallel circuit Complement
A . A = 0 A in series with
NOT A = "OPEN"
complement series circuit Complement
A+B = B+A A in parallel with B =
B in parallel with A
absorption parallel circuit Commutative
A.B = B.A A in series with B =
B in series with A
absorption series circuit Commutative
A+B = A.B invert and replace OR with AND   de Morgan’s Theorem
A.B = A+B invert and replace AND with OR   de Morgan’s Theorem

 

Source : http://www.electronics-tutorials.ws/boolean/bool_6.html