Programmable Logic Controllers
Programmable Logic Controllers
5th Edition
ISBN: 9780073373843
Author: Frank D. Petruzella
Publisher: McGraw-Hill Education
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Chapter 4, Problem 3P
Program Plan Intro

Logic gate:

  • Logic gate is an electronic circuit that is used to perform logic decisions based on the input.
  • It contains one or more number of inputs and one output.
  • The working of logic gate is based on the binary principle that has two states either logic 0 or logic 1.
  • The output of logic gate is produced when it satisfies any of its logic conditions.
  • The logic condition depends upon the type of the gates and the number of inputs.
  • The primary logic gates include AND, OR, and NOT. The combinations of these gates are used to implement any of the other logic gates.

AND gate:

  • The AND gate refers to a logic gate whose output will be HIGH only when all the inputs are HIGH.
  • The output of AND gate will be LOW when any one of its input will be LOW.
  • The symbol to represent AND gate is given below:

Programmable Logic Controllers, Chapter 4, Problem 3P , additional homework tip  1

  • The truth table for AND gate is as follows:
INPUT AINPUT BOUTPUT Y
000
010
100
111

NOR gate:

  • NOR gate performs the inverse operation of OR gate.
  • The NOR gate refers to a logic gate whose output will be HIGH only when all the inputs are LOW.
  • The output of NOR gate will be LOW when any one of its input will be HIGH.
  • The symbol to represent NOR gate is given below:

Programmable Logic Controllers, Chapter 4, Problem 3P , additional homework tip  2

  • The truth table for NOR gate is as follows:
INPUT AINPUT BOUTPUT Y
001
010
100
110

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3- Design the logic circuit for the following conditions and draw the output wave form : X is a 0 if any two of the three variable A,B, and C are 1X is a 1 for all other conditions ?
A B C Figure Q3 1) implement the logic circuit using 8-to-1 multiplexer. 2) implement the logic circuit using 4-to-1 multiplexer. 3) implement the logic circuit using 2-to-1 multiplexer.
PROBLEM: Given the Logic expression X = [(A+B) + (CC) ] [(CC) + (BOD)] (a.) Draw the Logic circuit and write the OUTPUT of EACH gate in a given table below. (b.) Connect the Logic Circuit in the TINKERCADD that you have drawn and write the output in a given table below. TRUTH TABLE: A B C D 0 0 0 0 0 0 0 1 0 0 1 0 0 0 1 1 0 1 0 0 0 1 0 1 0 1 1 0 0 1 1 1 0 0 0 1 0 1 1 1 0 1 1 1 1 0 0 1 0 1 1 1 0 1 1 1 0000 0 0 1 1 1 1
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