Solved: Convert the decimal expansion of each of these

Chapter 4, Problem 2E

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QUESTION:

Problem 2E

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

a) 321 b) 1023 c) 100632

Questions & Answers

QUESTION:

Problem 2E

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

a) 321 b) 1023 c) 100632

ANSWER:

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

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