Discussion
Given Truth Table represents which of the following Logic Gate ?
| Input | Output | |
|---|---|---|
| A | B | Q |
| 0 | 0 | 1 |
| 0 | 1 | 1 |
| 1 | 0 | 1 |
| 1 | 1 | 0 |
- A.
- B.
- C.
- D.
Answer: B
The gate is the NAND gate, option (B).
The table gives output 0 only when both inputs are 1, and output 1 for every other input pair. That is the NOT of the AND function: \(Q = \overline{A \cdot B}\). The NAND symbol is the AND shape with a small circle (the inversion bubble) on the output, which is option (B).
An AND gate (A) would give 1 only for input 1, 1, the reverse of the table. An OR gate (C) would give 0 only for input 0, 0, and its output is 1 at 1, 1. A NOR gate (D) would give 1 only for input 0, 0. None of these matches the table, whose only 0 is at 1, 1.
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