Logic Gates and State Tables

In summary: Otherwise, looks good. In summary, the task is to create a logic diagram, state table, and state diagram for two equations with two inputs (x and y) and one output (z). The equations are D(sub a) = x'y + xA, D(sub b) = xB + xA, and z = B. The attempt at a solution includes a logic diagram and a state table, with the only error being the inversion of x in the first term of the second FF.
  • #1
EEhokie13
11
0

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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  • #2
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:

1. What are logic gates?

Logic gates are electronic devices that perform basic logical operations such as AND, OR, and NOT. They are the building blocks of digital circuits and are used to process binary inputs and produce binary outputs.

2. What is a state table?

A state table is a representation of the behavior of a digital system or circuit. It lists all possible input combinations and their corresponding outputs, allowing engineers to analyze and design complex digital systems.

3. How do logic gates work?

Logic gates work by using transistors to implement Boolean logic. They take in one or more binary inputs and produce a single binary output based on the logical operation being performed. The output is determined by the combination of inputs and the logic gate's truth table.

4. What are the different types of logic gates?

There are seven basic types of logic gates: AND, OR, NOT, NAND, NOR, XOR, and XNOR. Each gate performs a specific logical operation and can be combined to create more complex circuits.

5. How are logic gates used in everyday technology?

Logic gates are used in a variety of everyday technology, such as computers, calculators, and mobile phones. They are also used in household appliances, security systems, and automotive electronics. Essentially, any device that processes digital information uses logic gates in its circuitry.

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