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An AB latch operates as follows: If A = 0 and B = 0, the latch state is Q = 0; if either A = 1 or B = 1 (but not both), the latch output does not change; and when both A = 1 and B = 1, the latch state is Q = 1.

An AB latch operates as follows: If A = 0 and B = 0, the latch state is Q = 0; if either A = 1 or B = 1 (but not both), the latch output does not change; and when both A = 1 and B = 1, the latch state is Q = 1.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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An AB latch operates as follows: If A = 0 and B = 0, the latch state is Q = 0; if either A = 1 or B = 1 (but not both), the latch output does not change; and when both A = 1 and B = 1, the latch state is Q = 1.

 

(a) Construct the state table and derive the characteristic equation for this AB latch. (b) Derive a circuit for the AB latch that has four two-input NAND gates and two inverters. (c) In your circuit of part (b), are there any transitions between input combina- tions that might cause unreliable operation? Verify your answer. (d) In your circuit of part (b), is there a gate output that provides the signal Q'? Verify your answer. (e) Derive a circuit for the AB latch using four two-input NOR gates and two inverters. (f) Answer parts (c) and (d) for your circuit in (e).
Transcribed Image Text:(a) Construct the state table and derive the characteristic equation for this AB latch. (b) Derive a circuit for the AB latch that has four two-input NAND gates and two inverters. (c) In your circuit of part (b), are there any transitions between input combina- tions that might cause unreliable operation? Verify your answer. (d) In your circuit of part (b), is there a gate output that provides the signal Q'? Verify your answer. (e) Derive a circuit for the AB latch using four two-input NOR gates and two inverters. (f) Answer parts (c) and (d) for your circuit in (e).
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