COMPUTER SCIENCE ILLUMIN.-TEXT
COMPUTER SCIENCE ILLUMIN.-TEXT
7th Edition
ISBN: 9781284156010
Author: Dale
Publisher: Jones & Barlett
Expert Solution & Answer
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Chapter 3, Problem 2TQ

Explanation of Solution

Converting whole numbers from one base to another:

The number has to be divided by the new base while converting a whole number from one base to another.

Example:

  • Consider the whole number (3426)10 , to convert this number to base 16 , that number has to be divided by the new base “16”.
  • The conversion process is as follows,

  • In base 10, the value “3246” is represented in positional notation as,
    • 3×103+4×102+2×101+6×100=3426
      • The positional notation for base 10 value results in correct value

Explanation of Solution

Converting fractional parts from one base to another:

The number has to be multiplied by the new base while converting a fractional part from one base to another.

Example:

  • Consider the fractional number (5.896)10, to convert this number to base 16, that number has to be divided by the new base “16”.
  • The conversion process is as follows,

  • In base 10, the value “(5.896)10” is represented in positional notation as,
    • 5×100. 8×101+9×102+6×103=5

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