Chapter 4, Problem 1TQ

Program Plan Intro

Different methods to express the processing of gates and circuits:

• There are three different methods to express the processing of gates and circuits. They are,
  • The “Boolean expression” is a mathematical notation to express the function.
    • For example: Boolean expression for the NOT gate.

      $\text{X = }\overline{\text{A}}$

  • The “logic diagram” is a graphical representation of the circuits to express the function.
    • For example: Logic diagram for the NOT gate takes a single input and generates a single output.

• The “truth table” is a table containing all possible inputs and the corresponding output values.
  • For example: Truth table for the NOT gate.

A	$\text{X = }\overline{\text{A}}$
0	1
1	0

• The above three types are just different ways of representing the same process.

Explanation of Solution

Most intuitive method:

The most intuitive method among all the three is: “Logic diagrams”.

Justification:

• In general, the logic diagrams describe the Boolean expressions and the values in a clear way...

Explanation of Solution

Least intuitive method:

The least intuitive method among all the three is: “Boolean expressions”.

Justification:

• They are either represented in the product of sum or sum of product manner and often tend to be complex...