Year 2024

According to the Principle of duality, the Boolean equation (A + B’) . (A + 1) = A + B’ will be equivalent to:
(a) (A’ + B) . (A’ + 1) = A’ + B
(b) (A . B’) + (A . 0) = A . B’
(c) (A’ . B) + (A’ . 1) = A’ . B
(d) (A’ . B) + (A’ . 0) = A’ . B

Year 2023

The dual of (X’ + 1) . (Y’ + 0) = Y’ is:
(a) X . 0 + Y . 1 = Y
(b) X’ . 1 + Y’ . 0 = Y’
(c) X’ . 0 + Y’ . 1 = Y’
(d) (X’ + 0) + (Y’ + 1) = Y’

Year 2020

Find the dual of: (A’ + 0) . (B’ + 1) = A’
Answer: (A’ . 1) + (B’ . 0) = A’

Year 2019

Find the dual of: X . Y + X . Y’ = X + 0
Answer: (X + Y) . (X + Y’) = X . 1

Year 2018

Find the dual of: (A’ + B) . (1 + B’) = A’ + B
Answer: (A’ . B) + (0 . B’) = A’ . B

Year 2017

State the Principle of Duality.
Answer: Principle of duality states that, starting with a boolean relation, another boolean relation can be derived by:
1. Replacing each OR sign with AND sign
2. Replacing each AND sign with OR sign
3. Replacing each 0 with 1
4. Replacing 1 with 0

Year 2013

State the Principle of Duality. Write the dual of:
(P + Q’) . R . 1 = P . R + Q’ . R
Answer: Principle of duality states that, starting with a boolean relation, another boolean relation can be derived by:
1. Replacing each OR sign with AND sign
2. Replacing each AND sign with OR sign
3. Replacing each 0 with 1
4. Replacing 1 with 0
Dual of (P + Q’) . R . 1 = P . R + Q’ . R
is (P . Q’) + R + 0 = (P + R) . (Q’ + R)

Year 2011

State the Principle of Duality. Give the dual of the following:
(A’ . B) + (C . 1) = (A’ + C) . (B + C)
Answer: Principle of duality states that, starting with a boolean relation, another boolean relation can be derived by:
1. Replacing each OR sign with AND sign
2. Replacing each AND sign with OR sign
3. Replacing each 0 with 1
4. Replacing 1 with 0
Dual of (A’ . B) + (C . 1) = (A’ + C) . (B + C)
is (A’ + B) . (C + 0) = (A’ . C) + (B . C)