Let x be a natural number with a bi 1 hita rith

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter6: More On Rings
Section6.3: The Characteristic Of A Ring
Problem 13E
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Let x be a natural number with a binary representation where the difference between the number of
1 bits with an even index and the number of 1 bits with an odd index is a multiple of 3.
Prove that x is a multiple of 3.
Transcribed Image Text:Let x be a natural number with a binary representation where the difference between the number of 1 bits with an even index and the number of 1 bits with an odd index is a multiple of 3. Prove that x is a multiple of 3.
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