Find the Boolean Expression R(P, Q) which is represented in the following…

2026

Find the Boolean Expression R(P, Q) which is represented in the following Truth Table.

P

Q

R(P, Q)

0

0

1

0

1

1

1

0

1

1

1

0


Answer: D. (P · Q)'To determine the Boolean expression, examine the truth table provided. The output R is 1 for all input combinations except when P = 1 and Q = 1. This specific…

  1. A.

    P' · Q'

  2. B.

    P · Q

  3. C.

    P + Q

  4. D.

    (P · Q)'

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Show answer & explanation

Correct answer: D

To determine the Boolean expression, examine the truth table provided.

The output R is 1 for all input combinations except when P = 1 and Q = 1.

This specific behavior defines the NAND logic gate operation, which is expressed as (P · Q)'.

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