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Convert the binary expansion of each of these integers to

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

Solution for problem 3E 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 3E

Convert the binary expansion of each of these integers to a decimal expansion.a) (1 1111)2________________b) (10 0000 0001)2________________c) (1 0101 0101)2________________d) (110 1001 0001 0000)2

Step-by-Step Solution:
Step 1 of 3

Solution:Step1To findConvert binary expansion to decimal expansion.Step2The decimal extension of a number is its representation in base -10.A binary expansion is represented number in 0 or 1 base-2a) (1 1111)2 = ( = = =31Therefore, binary expansion of to decimal is .Step3b) (10 0000 0001)2 = ( = = Therefore, binary expansion of to decimal is .Step4c) (1 0101 0101)2 = ( = =341 Therefore, binary expansion of to decimal is .Step5d) (110 1001 0001 0000)2 = ( = =26896 Therefore, binary expansion of to decimal is .

Step 2 of 3

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

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

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Convert the binary expansion of each of these integers to