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# Convert each of the integers in Exercise 6 from a binary 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

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

Step 9 of 14

##### 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.

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