Solved: How many bytes are required to encode n bits of

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

ISBN: 9780073383095 37

Solution for problem 59E Chapter 2.3

Discrete Mathematics and Its Applications | 7th Edition

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Discrete Mathematics and Its Applications | 7th Edition

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Problem 59E

How many bytes are required to encode n bits of data where n equals

a) 7?

b) 17?

c) 1001?

d) 28,800?

Step-by-Step Solution:

Step 1:

We have to find the how many bytes of data required to n bits of data

where n is equal to.

(a) 7?

Ans :

Each byte is equal to 8 bits and less than 8 bits will also require one byte.

so we must have $\frac{7}{8}=0.875=1$ byte required to encode the 7 bits of data.

Step 2 :

(b) 17?

Ans :

17 is divided by 8 the number of bits in a bytes

so $\frac{17}{8}=2.125=3$

.’. 3 bytes are required to encode the 17 bits of data.

Step 3 of 4

Chapter 2.3, Problem 59E is Solved

Step 4 of 4

Textbook: Discrete Mathematics and Its Applications

Edition: 7

Author: Kenneth Rosen

ISBN: 9780073383095

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 “How many bytes are required to encode n bits of data where n equalsa) 7?________________b) 17?________________c) 1001?________________d) 28,800?” is broken down into a number of easy to follow steps, and 18 words. Since the solution to 59E from 2.3 chapter was answered, more than 751 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 59E from chapter: 2.3 was answered by , our top Math solution expert on 06/21/17, 07:45AM. This full solution covers the following key subjects: bits, bytes, data, encode, equals. This expansive textbook survival guide covers 101 chapters, and 4221 solutions.