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Algorithm 1 Algorithm to convert a binary number to its numeric value Input: n, bn-1, bn-2, ..., bo giving an n-bit binary number Σb;2¹ (b; € {0,1}) Output: z is the value of the integer. 1:0

Algorithm 1 Algorithm to convert a binary number to its numeric value Input: n, bn-1, bn-2, ..., bo giving an n-bit binary number Σb;2¹ (b; € {0,1}) Output: z is the value of the integer. 1:0

Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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3. Consider the following algorithm: Algorithm 1 Algorithm to convert a binary number to its numeric value Input: n, bn-1, bn-2,..., bo giving an n-bit binary number b;2¹ (b; {0,1}) Output: r is the value of the integer. 1: x +0 2: for i = 0 to n - 1 do 3: if b = 1 then 4: power ← 1 for j = 1 to i do 5: 6: 7: 8: 9: end if 10: end for power 2 x power end for x+x+power (a) What is an appropriate basic operation to count? (b) How many basic operations are done in the worst case? (c) How many basic operations are done on average (over all possible 2" n-bit binary numbers)?
Transcribed Image Text:3. Consider the following algorithm: Algorithm 1 Algorithm to convert a binary number to its numeric value Input: n, bn-1, bn-2,..., bo giving an n-bit binary number b;2¹ (b; {0,1}) Output: r is the value of the integer. 1: x +0 2: for i = 0 to n - 1 do 3: if b = 1 then 4: power ← 1 for j = 1 to i do 5: 6: 7: 8: 9: end if 10: end for power 2 x power end for x+x+power (a) What is an appropriate basic operation to count? (b) How many basic operations are done in the worst case? (c) How many basic operations are done on average (over all possible 2" n-bit binary numbers)?
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