Which logic gate produces a HIGH output only when all of its inputs are HIGH?

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Question: Which logic gate produces a HIGH output only when all of its inputs are HIGH?

Option a: OR gate. The OR gate outputs HIGH if at least one input is HIGH, not only when all inputs are HIGH. This makes it unsuitable for requiring all inputs to be HIGH. For example, with inputs (HIGH, HIGH, LOW), the output is HIGH even though not all inputs are HIGH.

Option b: XOR gate. The XOR (exclusive OR) gate outputs HIGH when an odd number of inputs are HIGH. While it can be HIGH for some combinations, it is not characterized by requiring all inputs to be HIGH. For example, with three inputs, (HIGH, HIGH, HIGH) yields LOW, while (HIGH, HIGH, LOW) yields HIGH.

Option c: AND gate. The AND gate outputs HIGH only when every input is HIGH. If any input is LOW, the output becomes LOW, which matches the stated condition of requiring all inputs to be HIGH. This aligns with the standard truth table where the only true (HIGH) output occurs for all inputs being HIGH.

Option d: NOT gate. The NOT gate is a inverter that flips a single input: HIGH becomes LOW and LOW becomes HIGH. It does not handle multiple inputs nor produce a HIGH output only when all inputs are HIGH, so it cannot satisfy the described behavior.

Summary: An OR gate fails the all-inputs-high requirement because it responds to any single HIGH input. The XOR gate does not require all inputs to be HIGH and depends on the parity of HIGH inputs. The NOT gate neither handles multiple inputs nor enforces an all-high condition. The AND gate uniquely satisfies the criterion by delivering HIGH only when every input is HIGH.

System Software and Computing Concepts (032025-NYY) Tutorial 3: Digital Logic Circuits

Which logic gate produces a HIGH output only when all of its inputs are HIGH?

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