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 |
- A.
P' · Q'
- B.
P · Q
- C.
P + Q
- 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)'.