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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.

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.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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