Activities Manual For Programmable Logic Controllers
Activities Manual For Programmable Logic Controllers
5th Edition
ISBN: 9781259682476
Author: Frank Petruzella
Publisher: Mcgraw-hill Higher Education (us)
Question
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Chapter 3, Problem 6RQ
Program Plan Intro

Hexadecimal number system:

  • In hexadecimal number system, the numbers from “0” to “9” and letters from “A” to “F” are used.
  • It means, in total, hexadecimal system has 10 numbers and 6 alphabets.
  • Therefore, the base used for hexadecimal numbering system is 16.

Binary number system:

  • In binary system, the numbers “0” and “1” are only used.
  • It means, in total, binary system has only 2 numbers.
  • Therefore, the base used for binary numbering system is 2.

Explanation of Solution

b.

Conversion of hexadecimal number E8 to its equivalent binary number:

  • Given, hexadecimal number is E8.
  • Each digit of the hexadecimal number is converted into four bit binary equivalent.
  • A group of four bit binary refers to its corresponding hexadecimal digit.
  • Finally, the binary notation of the given hexadecimal number is noted.
  • The following diagram describes the binary notation of the hexadecimal number E8...

Explanation of Solution

c.

Conversion of hexadecimal number 6D2 to its equivalent binary number:

  • Given, hexadecimal number is 6D2.
  • Each digit of the hexadecimal number is converted into four bit binary equivalent.
  • A group of four bit binary refers to its corresponding hexadecimal digit.
  • Finally, the binary notation of the given hexadecimal number is noted.
  • The following diagram describes the binary notation of the hexadecimal number 6D2.

Explanation of Solution

d.

Conversion of hexadecimal number 31B to its equivalent binary number:

  • Given, hexadecimal number is 31B.
  • Each digit of the hexadecimal number is converted into four bit binary equivalent.
  • A group of four bit binary refers to its corresponding hexadecimal digit.
  • Finally, the binary notation of the given hexadecimal number is noted.
  • The following diagram describes the binary notation of the hexadecimal number 31B.

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