18. Show that every base 7 palindromic integer with an even number of digits is divisible by 8. 19 D

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
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Chapter2: The Integers
Section2.7: Introduction To Coding Theory (optional)
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Secton 5.1 Excerciser # 18

18. Show that every base 7 palindromic integer with an even number of digits is divisible by 8.
443,692 and 11,092,785 for divisibility by 37.
17. Show that every decimal palindromic integer with an even number of digits is divisible
19. Develop a test for divisibility by 37, based on the fact that 10' =1 (mod 37). Use this to check
A base b palindromic integer is an integer whose base b representation reads the same
forward and backward.
b that every decimal palindromic integer with an even number of digits is divisible
Transcribed Image Text:18. Show that every base 7 palindromic integer with an even number of digits is divisible by 8. 443,692 and 11,092,785 for divisibility by 37. 17. Show that every decimal palindromic integer with an even number of digits is divisible 19. Develop a test for divisibility by 37, based on the fact that 10' =1 (mod 37). Use this to check A base b palindromic integer is an integer whose base b representation reads the same forward and backward. b that every decimal palindromic integer with an even number of digits is divisible
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