Show that the binary expansion of a positive integer can be obtained from its octal expansion by translating each octal digit into a block of three binary digits.
Solution Step 1 To Show that the binary expansion of a positive integer can be obtained by first converting positive integer into its octal equivalent and then converting each of the octal digit into 3 bit binary digit ( following 8-4-2-1 code)Step 2 Consider a positive Integer 56, first we need to obtain its octal equivalent. The Octal equivalent of 56 is obtained as shown below. Remainder = 0 Remainder = 7Step 3 The Octal Equivalent of 56 would be the remainders from bottom of Step-2 56 = (70)8
Textbook: Discrete Mathematics and Its Applications
Author: Kenneth Rosen
The full step-by-step solution to problem: 16E from chapter: 4.2 was answered by , our top Math solution expert on 06/21/17, 07:45AM. Discrete Mathematics and Its Applications was written by and is associated to the ISBN: 9780073383095. This full solution covers the following key subjects: Binary, octal, Expansion, its, digit. This expansive textbook survival guide covers 101 chapters, and 4221 solutions. This textbook survival guide was created for the textbook: Discrete Mathematics and Its Applications, edition: 7. The answer to “Show that the binary expansion of a positive integer can be obtained from its octal expansion by translating each octal digit into a block of three binary digits.” is broken down into a number of easy to follow steps, and 28 words. Since the solution to 16E from 4.2 chapter was answered, more than 237 students have viewed the full step-by-step answer.