Question

Give the dual of the boolean equation AB'+BC'+1=1​

Answer 1

Answer:

Boolean Algebra uses a set of Laws and Rules to define the operation of a digital logic circuit ... A + 1 = 1, A in parallel with ... A + A.C + A.B + B.C, – Idempotent AND law (A.A = A).

Answer 2

Answer:

The dual of the given question is :

(A+B').(B+C').0 = 0

Explanation:

Principle of Duality states that a boolean expression can be converted into another form by replacing :

• Each +(plus) sign with .(dot) sign.

• Each .(dot) sign with +(plus) sign.

• Each 1(one) with 0(zero).

• Each 0(zero) with 1(one).

NOTE : In Principle of Duality, the variables do not change, i.e., A remains A and not A'. Similarly

A' remains A' and not A.

Hope it helped you!