   Chapter 9.2, Problem 12ES ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193

#### Solutions

Chapter
Section ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193
Textbook Problem
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# Hexadecimal numbers are made using the sixteen hexadecimal digits 0,1, 2, 3,4, 5,6,7,8,9, A, B, C. D. E. F and are denoted using the subscript 16. For example, 9A2D 16 and BC54 16 are hexadecimal numbers.a. How many hexadecimal numbers begin with one of the digits 3 through B. end with one of the digits 5 through F. and are 5 digits long? b. How many hexadecimal minmen begin with one of the digits 4 through D. end with one of the digits 2 through E, and are 6 digits long?

To determine

(a)

The number of hexadecimal numbers begin with one of the digits 3 through B, end with one of the digits 5 through F, and are 5 digits long.

Explanation

Given information:

Find the number of hexadecimal numbers which begin with any of the digits 3 through B.

From 3 to B, there are 9 possibilities for the first place.

Concept used:

The last place should be filled with any of the digits from 5 through F.

From 5 to F, there are 11 hexadecimal digits

To determine

(b)

The number of hexadecimal numbers begin with one of the digits 4 through D, end with one of the digits 2 through E, and are 6 digits long.

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