COMPUTER SCIENCE ILLUMIN.-TEXT
COMPUTER SCIENCE ILLUMIN.-TEXT
6th Edition
ISBN: 2810016866372
Author: Dale
Publisher: JONES+BART
Question
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Chapter 2, Problem 39E
Program Plan Intro

Octal subtraction:

The rules for subtracting two octal numbers are as follows:

  • Read both the numbers to know the number of bits.
  • If the number of bits in the first number is less than that of the other number, add the required number of zeros on the left side.
  • Numbers are represented in bytes where one byte is equal to 8 bits.
  • Align the number in correct order after padding. The octal number that is followed by a minus sign should be subtracted from the other octal number.

Explanation of Solution

b.

“1234 – 765”:

  • Start numbers from right to left.
    • Subtract “5” from “4”.
      • Here “4” is less than “5”. As a result, borrow a number from adjacent left hand side.
      • After borrowing it becomes “2” as adjacent left side number is “3”.
      • After borrowing, add “8” with “4”.
      • Add “8” with “4” and then subtract it from “5”, which give “7”. The equivalent octal number for number “7” is “7”. Hence, write “7” to the result.
    • Subtract “6” from “2”.
      • Here “2” is less than “6”. Borrow number from adjacent left side.
      • After borrowing, it becomes “1” as adjacent left side number is “2”.
      • After borrowing, add “8” with “2”.
      • Add “8” with “2” and then subtract this from “6”, which give “4”...

Explanation of Solution

c.

“7766 – 5544”:

  • Start with the numbers from right to left.
    • Subtract “4” from “6” which results in “2”.
    • Subtract “4” from “6” which results in “2”.
    • Subtract “7” from “5” which results in “2”...

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