Show that the binary expansion of a positive integer can be obtained from its hexadecimal expansion by translating each hexadecimal digit into a block of four binary digits.
Solution Step 1To Show that the binary expansion of a positive integer can be obtained by first converting positive integer into its hexadecimal equivalent and then converting each of the hexadecimal digit into four bit binary digit ( following 8-4-2-1 code)Step 2 Consider a positive Integer 56, first we need to obtain its hexadecimal equivalent. The Hexadecimal equivalent of 56 is obtained as shown below. Remainder = 8 Remainder = 3Step 3 The Hexadecimal Equivalent of 56 would be the remainders from bottom of Step-2 56 = (38)16
Textbook: Discrete Mathematics and Its Applications
Author: Kenneth Rosen
The full step-by-step solution to problem: 14E from chapter: 4.2 was answered by , our top Math solution expert on 06/21/17, 07:45AM. The answer to “Show that the binary expansion of a positive integer can be obtained from its hexadecimal expansion by translating each hexadecimal digit into a block of four binary digits.” is broken down into a number of easy to follow steps, and 28 words. Discrete Mathematics and Its Applications was written by and is associated to the ISBN: 9780073383095. Since the solution to 14E from 4.2 chapter was answered, more than 243 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: Discrete Mathematics and Its Applications, edition: 7. This full solution covers the following key subjects: Binary, hexadecimal, Expansion, Integer, digit. This expansive textbook survival guide covers 101 chapters, and 4221 solutions.