(a) For a number n base 9, find a test for determining if n is a multiple of 5 using the digits of n when written as a base 9 number. Show that you test works for n = 115 = (b) Prove your answer from (a) 1379.
(a) For a number n base 9, find a test for determining if n is a multiple of 5 using the digits of n when written as a base 9 number. Show that you test works for n = 115 = (b) Prove your answer from (a) 1379.
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
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![The problem concerns numbers written in base 9. The base 10 number 115 is expressed in base 9 as the number \( 137_9 \) since:
\[ 137_9 = 1 \cdot 9^2 + 3 \cdot 9 + 7 = 115 \]
(a) For a number \( n \) in base 9, find a test for determining if \( n \) is a multiple of 5 using the digits of \( n \) when written as a base 9 number. Show that your test works for \( n = 115 = 137_9 \).
(b) Prove your answer from (a).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F80fac62b-1f91-4b94-88b2-6d2c841a4645%2Fab9c9050-94c0-4a36-8e3d-936f27bd1757%2F5x2f3bp_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The problem concerns numbers written in base 9. The base 10 number 115 is expressed in base 9 as the number \( 137_9 \) since:
\[ 137_9 = 1 \cdot 9^2 + 3 \cdot 9 + 7 = 115 \]
(a) For a number \( n \) in base 9, find a test for determining if \( n \) is a multiple of 5 using the digits of \( n \) when written as a base 9 number. Show that your test works for \( n = 115 = 137_9 \).
(b) Prove your answer from (a).
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