The NAND (NOT-AND) gate can be constructed by combining two basic logic gates: the AND gate and the NOT gate.
1. AND Gate: An AND gate has multiple input signals and produces a high output signal (1) only if all the input signals are high (1). Otherwise, it produces a low output signal (0).
2. NOT Gate: A NOT gate, also known as an inverter, has a single input signal and produces an output signal that is the inverse of the input signal. If the input signal is high (1), the output signal is low (0), and vice versa.
To create a NAND gate, you take the output of an AND gate and feed it as an input to a NOT gate. This configuration allows the NAND gate to produce the opposite (negated) output compared to the AND gate.
The truth table for a NAND gate is as follows:
| Input A | Input B | Output |
|---------|---------|--------|
| 0 | 0 | 1 |
| 0 | 1 | 1 |
| 1 | 0 | 1 |
| 1 | 1 | 0 |
As shown in the truth table, the NAND gate produces a high output (1) when any of the input signals is low (0), and it produces a low output (0) only when all the input signals are high (1). Therefore, it performs the logical operation of an AND gate followed by a NOT gate.
Which 2 gates do you think make the NAND gate and how does it work?
1 answer