Programmable Logic Controllers
Programmable Logic Controllers
5th Edition
ISBN: 9780073373843
Author: Frank D. Petruzella
Publisher: McGraw-Hill Education
Expert Solution & Answer
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Chapter 3, Problem 3RQ

a.

Explanation of Solution

Conversion of octal numbers to decimal numbers:

  • • Given, octal number is 36.
  • • First, multiply the given octal number 36 with multiples of 8, with respect to their positions and then, add all the values to get the final answer.
  • • The following calculation describes the decimal notation of the octal number 36.

36=81*3+80*6 =8*3+1*6 =24+6 =30

  • • Therefore, the decimal notation of octal number (36)8 is “(30)10”.

b.

Explanation of Solution

Conversion of octal numbers to decimal numbers:

  • • Given, octal number is 104.
  • • First, multiply the given octal number 104 with multiples of 8, with respect to their positions and then, add all the values to get the final answer.
  • • The following calculation describes the decimal notation of the octal number 104.

104=82*1+81*0+80*4 =64*1+8*0+1*4 =64+0+4 =68

  • • Therefore, the decimal notation of octal number (104)8 is “(68)10”.

c.

Explanation of Solution

Conversion of octal numbers to decimal numbers:

  • • Given, octal number is 120.
  • • First, multiply the given octal number 120 with multiples of 8, with respect to their positions and then, add all the values to get the final answer.
  • • The following calculation describes the decimal notation of the octal number 120.

120=82*1+81*2+80*0 =64*1+8*2+1*0 =64+16+0 =80

  • • Therefore, the decimal notation of octal number (120)8 is “(80)10”.

d.

Explanation of Solution

Conversion of octal numbers to decimal numbers:

  • • Given, octal number is 216.
  • • First, multiply the given octal number 216 with multiples of 8, with respect to their positions and then, add all the values to get the final answer.
  • • The following calculation describes the decimal notation of the octal number 216.

216=82*2+81*1+80*6 =64*2+8*1+1*6 =128+8+6 =142

  • • Therefore, the decimal notation of octal number (216)8 is “(142)10”.

e.

Explanation of Solution

Conversion of octal numbers to decimal numbers:

  • • Given, octal number is 360.
  • • First, multiply the given octal number 360 with multiples of 8, with respect to their positions and then, add all the values to get the final answer.
  • • The following calculation describes the decimal notation of the octal number 360.

360=82*3+81*6+80*0 =64*3+8*6+1*0 =192+48+0 =240

  • • Therefore, the decimal notation of octal number (360)8 is “(240)10”.

Explanation of Solution

Conversion of octal numbers to decimal numbers:

  • • Given, octal number is 1516.
  • • First, multiply the given octal number 1516 with multiples of 8, with respect to their positions and then, add all the values to get the final answer.
  • • The following calculation describes the decimal notation of the octal number 1516.

1516=83*1+82*5+81*1+80*6 =512*1+64*5+8*1+1*6 =512+320+8+6 =846

  • • Therefore, the decimal notation of octal number (1516)8 is “(846)10”.

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