# How many bytes are required to encode n bits of data where ## Problem 58E Chapter 2.3

Discrete Mathematics and Its Applications | 7th Edition

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Problem 58E

How many bytes are required to encode n bits of data where n equalsa) 4?________________b) 10?________________c) 500?________________d) 3000?

Step-by-Step Solution:

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) 4Ans : Each byte is equal to 8 bits and less than 8 bits will also require one byte.so we must have byte required to encode the 4 bits of data.Step 2 : (b) 10Ans :10 is divided by 8 the number of bits in a bytesso .’. 2 bytes are required to encode the 10 bits of data.

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##### ISBN: 9780073383095

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