Write a program to convert a number in the binary system to a number in the decimal system in recursive way.
Write a program to convert a number in the binary system to a number in the decimal system in recursive way.
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
The language is Java
![Write a program to convert a number in the binary system to a number in the decimal system in
recursive way.
The following is a hint:
Мbin ('O')
Mpin ('1')
%3D
Mbin (<bin num>'0')
= 2 *
Mpin
(<bin num>)
Mbin (<bin_ num>'1')
2 * Mpin (<bin num>)
+ 1
example:
Mbin ("10110")=2*Mbin ("1011")
=2* [2*Mbin ("101")+1]
=2* {2* [2*Mbin ("10")+1]+1}
=2* {2* [2* (2*Mbin ('1'))+1]+1}
=2* {2*[2* (2*1)+1]+1}
=2* {2* [2*2+1]+1}
=2* {2*5+1}
=2*11
=22
Use the data "1011001" to trace Java program and show the answer in base
10.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe64847c0-d124-4c72-a375-a9e12abd71c7%2F33cbbb64-0f62-4327-9b64-073a36cfa7ff%2Fochyead_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Write a program to convert a number in the binary system to a number in the decimal system in
recursive way.
The following is a hint:
Мbin ('O')
Mpin ('1')
%3D
Mbin (<bin num>'0')
= 2 *
Mpin
(<bin num>)
Mbin (<bin_ num>'1')
2 * Mpin (<bin num>)
+ 1
example:
Mbin ("10110")=2*Mbin ("1011")
=2* [2*Mbin ("101")+1]
=2* {2* [2*Mbin ("10")+1]+1}
=2* {2* [2* (2*Mbin ('1'))+1]+1}
=2* {2*[2* (2*1)+1]+1}
=2* {2* [2*2+1]+1}
=2* {2*5+1}
=2*11
=22
Use the data "1011001" to trace Java program and show the answer in base
10.
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