Convert each of the integers in Exercise 6 from a binary

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

ISBN: 9780073383095 37

Solution for problem 10E Chapter 4.2

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

Step 8 of 14

Chapter 4.2, Problem 10E is Solved

Step 9 of 14

Textbook: Discrete Mathematics and Its Applications

Edition: 7

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: 7. 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 327 students have viewed the full step-by-step answer.