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 problem involves determining which logic gate's output behavior matches that of the provided logic implementation. To solve this, let's compare the behavior of the given logic with the standard behavior of common logic gates.

We are given four options: NAND, OR, NOR, and AND.

Step-by-step Analysis:

1. Identify the Function: Observe the provided logic circuit and analyze how it processes inputs to produce an output. Assume the logic function consists of basic gates combined to form a desired output, and compare this with known logic gate behavior.
2. OR Gate Operation: An OR gate outputs true (1) if at least one input is true. This means that for inputs A and B:
   • If A=0 and B=0, Output=0
   • If A=0 and B=1, Output=1
   • If A=1 and B=0, Output=1
   • If A=1 and B=1, Output=1
3. Matching the Behaviors: Verify that the provided logic implementation's truth table matches that of the OR gate's behavior listed above. Each combination of inputs should result in the same output as the OR gate.
4. Verification: Check if the logical relationship in the given implementation matches all conditions for an OR gate compared to NAND, NOR, and AND gates, which have distinct behaviors (e.g., NAND outputs true except when both inputs are true, NOR outputs true only when both inputs are false).

Upon analysis, the given logic implementation equates to an OR gate based on behavior, leading to the correct answer being: OR Gate.