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Solved: Convert the decimal expansion of each of these

Discrete Mathematics and Its Applications | 7th Edition | ISBN: 9780073383095 | Authors: Kenneth Rosen ISBN: 9780073383095 37

Solution for problem 2E Chapter 4.2

Discrete Mathematics and Its Applications | 7th Edition

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Discrete Mathematics and Its Applications | 7th Edition | ISBN: 9780073383095 | Authors: Kenneth Rosen

Discrete Mathematics and Its Applications | 7th Edition

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Problem 2E

Problem 2E

Convert the decimal expansion of each of these integers to a binary expansion.

a) 321 b) 1023 c) 100632

Step-by-Step Solution:
Step 1 of 3

Solution:

Step1

To find

Convert the decimal expansion to a binary expansion.

Step2

The decimal extension of a number is its representation in base -10.

A binary expansion is represented number  in 0 or 1 .

a.  321

For binary expansion divide 321 by 2

Divide again and again by 2

Therefore, binary representation of 321 is

Step3

b.  1023

For binary expansion divide 1023 by 2

Divide again and again by 2

Therefore, binary representation of 1023 is

Step4

c)100632

For binary expansion divide 100632 by 2

Divide  quotient again and again by 2

Therefore, binary representation of 100632 is

Step 2 of 3

Chapter 4.2, Problem 2E is Solved
Step 3 of 3

Textbook: Discrete Mathematics and Its Applications
Edition: 7
Author: Kenneth Rosen
ISBN: 9780073383095

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Solved: Convert the decimal expansion of each of these