Question

The output (Y) of the given logic implementation is similar to the output of an/a  …………. gate.

• A. NAND
• B. OR
• C. NOR
• D. AND

Hint:

Use Boolean algebra and De Morgan's laws to simplify the expression for the output Y. Alternatively, construct a truth table for the given logic circuit and compare it with the truth tables of basic logic gates.

Answer 1

The Correct Option is B

The objective is to identify the logic gate whose output behavior corresponds to the provided logic implementation. This is achieved by comparing the given logic's behavior with the standard operations of common logic gates.

The available options are NAND, OR, NOR, and AND.

Analytical Process:

1. Function Identification: Examine the input logic circuit and determine its output generation mechanism. It is assumed that the logic function comprises fundamental gates assembled to achieve a specific output. This derived function is then compared against established logic gate behaviors.
2. OR Gate Characteristics: An OR gate produces a true (1) output if any of its inputs are true. For inputs A and B, the truth table is as follows:
   • A=0, B=0 $\implies$ Output=0
   • A=0, B=1 $\implies$ Output=1
   • A=1, B=0 $\implies$ Output=1
   • A=1, B=1 $\implies$ Output=1
3. Behavioral Alignment: Confirm that the truth table of the provided logic implementation precisely matches the OR gate's truth table detailed above. Each input combination must yield the same output as the OR gate.
4. Confirmation: Ascertain that the logical relationship within the given implementation aligns with all criteria for an OR gate, differentiating it from NAND, NOR, and AND gates, which exhibit distinct output patterns (e.g., NAND outputs true except when both inputs are true; NOR outputs true only when both inputs are false).

The analysis concludes that the provided logic implementation's behavior is equivalent to that of an OR gate, making OR Gate the correct designation.