What logic function is implemented by the following circuit?
Step-by-Step Solution
1. Characterize the Component: The symbol represents a 2:1 Multiplexer (MUX). Input 'o' is selected when Sel=0, and input '|' is selected when Sel=1.
2. Write the Logic Equation: The output Y of a 2:1 MUX is given by:
Y = (¬Sel · I0) + (Sel · I1)
3. Substitute Circuit Connections:
From the diagram, I0 = Y (feedback) and I1 = A.
Plugging these in: Y = (¬Sel · Y) + (Sel · A).
From the diagram, I0 = Y (feedback) and I1 = A.
Plugging these in: Y = (¬Sel · Y) + (Sel · A).
4. Analyze Behavior:
- If Sel = 1, Y = A. The output follows the input (Transparent mode).
- If Sel = 0, Y = Yprev. The output retains its previous value (Hold mode).
5. Identification: This behavior defines a level-triggered latch, where the select line acts as the enable signal.
Final Answer: The logic function is a Latch (Option 4).
Further Reading:
GATE EC Previous Year Papers with Solutions