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

Let (bk-1 · bo)2 be a binary representation of a natural number, and a be a single bit. Prove: (br-1 * boa)2 = 2 · (b–1 ··. bo)2 + a. HINT: Remember that the notation (· · · )2 is just a shorthand for a certain summation-work directly ... 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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1. Number representation. You may (but are not required to) use results from part (a) in your solution for part (b), and you may use results from parts (a) and (b) in your solution for part (c). (a) Let (b-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 with these summations.
Transcribed Image Text:1. Number representation. You may (but are not required to) use results from part (a) in your solution for part (b), and you may use results from parts (a) and (b) in your solution for part (c). (a) Let (b-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 with these summations.
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