How Do Logic Gates and State Tables Interact in Digital Circuits?

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SUMMARY

This discussion focuses on the interaction between logic gates and state tables in digital circuits, specifically for two-input, one-output systems. The equations provided are D(sub a) = x'y + xA and D(sub b) = xB + xA, with the output defined as z = B. A key error identified in the logic diagram is the incorrect inversion of x in the second flip-flop, which should be represented as xB instead of x'B. The discussion includes links to a logic diagram and a state table for further reference.

PREREQUISITES
  • Understanding of logic gates and their functions
  • Familiarity with state tables and state diagrams
  • Knowledge of flip-flop behavior in digital circuits
  • Basic skills in digital circuit design and analysis
NEXT STEPS
  • Study the design and implementation of flip-flops in digital circuits
  • Learn how to create and interpret state diagrams
  • Explore the use of Karnaugh maps for simplifying logic expressions
  • Investigate the principles of combinational and sequential logic circuits
USEFUL FOR

Students in electrical engineering, digital circuit designers, and anyone interested in understanding the fundamentals of logic gates and state tables in digital systems.

EEhokie13
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Homework Statement


I have been asked to create a logic diagram and state table and state diagram for two equations, with two inputs and one output. The inputs are, x and y. the output is z.

Homework Equations



The two equations are:
D(sub a) = x'y + xA
D(sub b) = xB + xA
z = B

x' = x(not)

The Attempt at a Solution



The first link is my logic diagram:
http://img405.imageshack.us/img405/4989/logicdiagram.png

This link is the state table I have started.
http://img85.imageshack.us/img85/3339/statetable.png
 
Last edited by a moderator:
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EEhokie13 said:

Homework Statement


I have been asked to create a logic diagram and state table and state diagram for two equations, with two inputs and one output. The inputs are, x and y. the output is z.

Homework Equations



The two equations are:
D(sub a) = x'y + xA
D(sub b) = xB + xA
z = B

x' = x(not)

The Attempt at a Solution



The first link is my logic diagram:
http://img405.imageshack.us/img405/4989/logicdiagram.png

This link is the state table I have started.
http://img85.imageshack.us/img85/3339/statetable.png

Looks like a good start. The only error that I see is you are inverting x in the first term of the 2nd FF (should be xB, but you show logic for x'B).
 
Last edited by a moderator:

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