Simple program to find the number of bits required to represent a positive number.
//This program is to find out the number of bits required to represent a positive integer
//Program tested on Microsoft Visual Studio 2008 - Zahid Ghadialy
#include<iostream>
#include <cmath>
using namespace std;
unsigned int TraditionalApproach(const unsigned int& num)
{
if(num)
{
return (int)floor(log((double)num)/log(2.0) + 1.0);
}
return 1;
}
unsigned int SimplifiedApproach(const unsigned int& num)
{
if(num)
{
unsigned int tempNum = num;
unsigned int numOfBits = 0;
while(tempNum)
{
numOfBits++;
tempNum >>= 1;
}
return numOfBits;
}
return 1;
}
int main()
{
//Finding number of bits the traditional way
cout<<"\n** Traditional Approach **\n";
cout<<"The number of bits required to represent 0 = "<<TraditionalApproach(0)<<endl;
cout<<"The number of bits required to represent 1 = "<<TraditionalApproach(1)<<endl;
cout<<"The number of bits required to represent 15 = "<<TraditionalApproach(15)<<endl;
cout<<"The number of bits required to represent 16 = "<<TraditionalApproach(16)<<endl;
cout<<"The number of bits required to represent 75 = "<<TraditionalApproach(75)<<endl;
cout<<"The number of bits required to represent 125 = "<<TraditionalApproach(125)<<endl;
cout<<"The number of bits required to represent 130 = "<<TraditionalApproach(130)<<endl;
cout<<"\n** Simplified Approach **\n";
cout<<"The number of bits required to represent 0 = "<<SimplifiedApproach(0)<<endl;
cout<<"The number of bits required to represent 1 = "<<SimplifiedApproach(1)<<endl;
cout<<"The number of bits required to represent 15 = "<<SimplifiedApproach(15)<<endl;
cout<<"The number of bits required to represent 16 = "<<SimplifiedApproach(16)<<endl;
cout<<"The number of bits required to represent 75 = "<<SimplifiedApproach(75)<<endl;
cout<<"The number of bits required to represent 125 = "<<SimplifiedApproach(125)<<endl;
cout<<"The number of bits required to represent 130 = "<<SimplifiedApproach(130)<<endl;
return 0;
}
The output is as follows:
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