Please fully explain each answer. 3. Consider the following algorithm:Algorithm 1 Algorithm to convert a binary number to its numeric valueInput: 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 +02: for i = 0 to n - 1 do3: if b = 1 then4:power ← 1for j = 1 to i do5:6:7:8:9: end if10: end forpower 2 x powerend forx+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 binarynumbers)?

The questions asked for an analysis of an algorithm used to convert binary numbers to their numeric…

Answered: Algorithm 1 Algorithm to convert a…

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

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

Problem 1PE

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Question

Please fully explain each answer.

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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