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Convert each of the integers in Exercise 6 from a binary

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

Problem 10E 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 10E

Convert each of the integers in Exercise 6 from a binary expansion to a hexadecimal expansion.

(1111 0111)2(1010 1010 1010)2(111 0111 0111 0111)2(101 0101 0101 0101)2
Step-by-Step Solution:

 

Step 1   In This problem we have to Convert  Each of the given Binary Expansion to

              Hexadecimal Expansion       .

Step 2   Binary code follows 8-4-2-1, Where 8,4,2 and 1 are the values of each bit

          BINARY ( 8-4-2-1)

  HEXADECIMAL

              0000

         0

              0001

         1

              0010

         2

              0011

         3

              0100

         4

              0101

         5

              0110

         6

              0111

         7

              1000

         8

              1001

         9

              1010

         A

              1011

         B

              1100

         C

              1101

          D

              1110

          E

              1111

          F

Step 3  Taking each binary expansion and solving them seperately

Given binary expansion = (1111 0111)2

             From the least significant bit(LSB) from the last bit, making  a group of 4 bits,we get

              1111   0111

Step 4   From the table in Step-2 the corresponding hexadecimal equivalent of binary numbers is

              Obtained.

              1111 - F

              0111 - 7

Step 5 The Hexadecimal expansion of (1111 0111)2  is ( F7)16

Step 6  Similarly repeating for problem b) , c) and d) respectively we get

              b) (1010 1010 1010)2

                   1010 1010 1010 (grouping 4 bits)

Step 7  From the table in Step-2 we get

              1010 - A

              1010 - A

              1010 - A

Step 8 of 14

Chapter 4.2, Problem 10E is Solved
Step 9 of 14

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

The full step-by-step solution to problem: 10E from chapter: 4.2 was answered by , our top Math solution expert on 06/21/17, 07:45AM. This textbook survival guide was created for the textbook: Discrete Mathematics and Its Applications, edition: 7th. Discrete Mathematics and Its Applications was written by and is associated to the ISBN: 9780073383095. The answer to “Convert each of the integers in Exercise 6 from a binary expansion to a hexadecimal expansion.1. (1111 0111)22. (1010 1010 1010)23. (111 0111 0111 0111)24. (101 0101 0101 0101)2” is broken down into a number of easy to follow steps, and 29 words. This full solution covers the following key subjects: Expansion, Binary, exercise, convert, hexadecimal. This expansive textbook survival guide covers 101 chapters, and 4221 solutions. Since the solution to 10E from 4.2 chapter was answered, more than 241 students have viewed the full step-by-step answer.

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