Let (bk-1·. bo)2 be a binary representation of a natural number, and a be a single bit. Prove: (bk-1·* boa)2 HINT: Remember that the notation (·.·)2 is just a shorthand for a certain summation-work directly = 2· (bk–1 ··· bo)2 + a. k-1... with these summations.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 38E
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Let (bk-1 bo)2 be a binary representation of a natural number, and a be a single bit.
Prove: (bx-1.. boa)2 = 2 · (bk–1…· bo)2 + a.
HINT: Remember that the notation (. ..)2 is just a shorthand for a certain summation-work directly
k-1:.*
with these summations.
Transcribed Image Text:Let (bk-1 bo)2 be a binary representation of a natural number, and a be a single bit. Prove: (bx-1.. boa)2 = 2 · (bk–1…· bo)2 + a. HINT: Remember that the notation (. ..)2 is just a shorthand for a certain summation-work directly k-1:.* with these summations.
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