A Circuit that operates in such a way that its output is high only when all its inputs are high
AND
AND Gate Logic Explained
In the realm of digital electronics, various logic gates perform specific operations based on their inputs. The question describes a circuit that operates in such a way that its output is high only when all its inputs are high. This precise behavior is the defining characteristic of an AND gate.
Understanding Logic Gate Behavior
Let's analyze the operational characteristics of the common logic gates mentioned in the options to understand why the AND gate is the correct answer:
- AND Gate: An AND gate is a digital logic gate that implements logical conjunction. Its output is high (typically represented as logic '1' or 'True') if and only if all of its inputs are high. If any one or more of its inputs are low (logic '0' or 'False'), then the output of the AND gate will be low.
- OR Gate: An OR gate is a digital logic gate that implements logical disjunction. Its output is high if any one or more of its inputs are high. The output is low only when all its inputs are low.
- NAND Gate: A NAND (Not-AND) gate is a combination of an AND gate and a NOT gate. It produces an output that is the inverse of the AND gate's output. Therefore, its output is low only when all its inputs are high. In all other scenarios (i.e., if at least one input is low), the output of the NAND gate is high.
- NOR Gate: A NOR (Not-OR) gate is a combination of an OR gate and a NOT gate. Its output is the inverse of the OR gate's output. It produces a high output only when all its inputs are low. If any one or more inputs are high, the output of the NOR gate will be low.
Truth Table Analysis for Logic Gates
To further clarify the distinction, let's examine a truth table for a two-input logic gate where inputs are A and B, and the output is Y.
| Input A | Input B | AND Gate Output (Y) | OR Gate Output (Y) | NAND Gate Output (Y) | NOR Gate Output (Y) |
|---|---|---|---|---|---|
| 0 | 0 | 0 | 0 | 1 | 1 |
| 0 | 1 | 0 | 1 | 1 | 0 |
| 1 | 0 | 0 | 1 | 1 | 0 |
| 1 | 1 | 1 | 1 | 0 | 0 |
As evident from the truth table, the AND gate is the only logic circuit that yields a '1' (high) output exclusively when both inputs A and B are '1' (high). This matches the condition specified in the question.
Conclusion on Circuit Operation
Therefore, the circuit that operates in such a way that its output is high only when all its inputs are high is an AND gate. This fundamental property makes the AND gate crucial for implementing various logical conditions in digital systems and computer architecture.
Important Questions from Logic Gates
Which logical gate is used to represent product of sum expression?
Which gate is represented by the following truth table?
Input
Output
A
B
C
0
0
0
1
0
0
1
1
0
1
0
1
0
1
1
1
1
0
0
1
1
0
1
1
1
1
0
1
1
1
1
0
Which logical gate is included in a binary adder circuit to enable binary addition and subtraction?
Which of the following represents the XNOR gate?
______ is also known as Inverter.
