Notes

WAP C or C++ to convert number from random radix system 'r1' to any other random radix system 'r2' where r1! = r2! = 10.

#include<iostream>
using namespace std;
void convertFromDecimal(long long int num, int r)
{
if(num == 0)
return;
convertFromDecimal(num/r, r);
cout<<num%r;
}
int main()
{
int r1,r2;
cout<<"Enter base radix system: ";
cin>>r1;
cout<<"Enter final radix system: ";
cin>>r2;
long long int baseNumber,temp1 = 1, temp2 = 0;
cout<<"Enter base number: ";
cin>>baseNumber;
while(baseNumber != 0){
temp2 += ((baseNumber%10)*temp1);
temp1 *= r1;
baseNumber /= 10;
}

convertFromDecimal(temp2, r2);
return 0;
}



WAP C or C++ to convert number from radix system 2 to radix system 4, 8 and 16 by using relative direct base conversion approach.

#include<iostream>
#include<string>
using namespace std;

int nearest(int l,int m)
{
if(l%m == 0)
return l;
for(int i=l+1; ;i++)
{
if(i>l && i%m==0)
return i;
}
}

int convertToDecimal(string number)
{
int n = 1,finalNum = 0;
int len = number.length();
for(int i=len-1;i>=0;i--)
{
finalNum += ((number[i] - '0')*n);
n *= 2;
}
return finalNum;
}

void convertNumber(string number, int x)
{
int length = number.length();
int newLength = nearest(length,x);
char finalNumber[newLength];
for(int i=0;i<newLength;i++)
finalNumber[i] = '0';
finalNumber[newLength] = '';
for(int i=length-1,j = newLength-1;i>=0 && j>=0;i--,j--)
finalNumber[j] = number[i];
string final = finalNumber;
for(int i=0;i<=newLength-x;i+=x)
cout<<convertToDecimal(final.substr(i,i+x));
cout<<"nn";
return;
}

int main()
{
string binaryNumber;
cout<<"Enter bunary number: ";
getline(cin,binaryNumber);
cout<<"Conversion to base 4: ";
convertNumber(binaryNumber,2);
cout<<"Conversion to base 8: ";
convertNumber(binaryNumber,3);
cout<<"Conversion to base 16: ";
convertNumber(binaryNumber,4);
return 0;
}



WAP C or C++ to convert number from radix system 8 to radix system 2 by using relative direct base conversion approach.

#include<iostream>
#include<string>
using namespace std;

int main()
{
string s[8] = {"000","001","010","011","100","101","110","111"};
cout<<"Enter the number in radix 8: ";
string number;
getline(cin,number);
int n = number.length();
for(int i=0;i<n;i++)
{
cout<<s[number[i] - '0'];
}
return 0;
}



WAP C or C++ to convert number from radix system 16 to radix system 2 by using relative direct base conversion approach.

#include<iostream>
#include<string>
using namespace std;
int main()
{
string s[16] = {"0000","0001","0010","0011","0100","0101","0110","0111","1000","1001","1010","1011","1100","1101","1110","1111"};
cout<<"Enter the number in radix 16: ";
string number;
getline(cin,number);
int n = number.length();
int x;
for(int i=0;i<n;i++)
{
if(number[i] == 'A' || number[i] == 'B' || number[i] == 'C' || number[i] == 'D' || number[i] == 'E' || number[i] == 'F')
x = number[i] - 'A' + 10;
else
x = number[i] - '0';
cout<<s[x];
}
return 0;
}



WAP C or C++ to convert number from radix system 8 to radix system 16 by using relative indirect base conversion approach.

#include<iostream>
#include<string>
using namespace std;

int nearest(int l,int m)
{
if(l%m == 0)
return l;
for(int i=l+1; ;i++)
{
if(i>l && i%m==0)
return i;
}
}

int convertToDecimal(string number)
{
int n = 1,finalNum = 0;
int len = number.length();
for(int i=len-1;i>=0;i--)
{
finalNum += ((number[i] - '0')*n);
n *= 2;
}
return finalNum;
}

string convertToBinary()
{
string s[8] = {"000","001","010","011","100","101","110","111"};
cout<<"Enter the number in radix 8: ";
string number;
getline(cin,number);
int n = number.length();
string returnValue = "";
for(int i=0;i<n;i++)
{
returnValue.append(s[number[i] - '0']);
}
return returnValue;
}

string convertNumber(string number, int x)
{
int length = number.length();
int newLength = nearest(length,x);
char finalNumber[newLength];
for(int i=0;i<newLength;i++)
finalNumber[i] = '0';
finalNumber[newLength] = '';
for(int i=length-1,j = newLength-1;i>=0 && j>=0;i--,j--)
finalNumber[j] = number[i];
string final = finalNumber;
string returnValue = "";
for(int i=0;i<=newLength-x;i+=x)
returnValue.append(to_string(convertToDecimal(final.substr(i,i+x))));
return returnValue;
}

int main()
{
string binaryNumber = convertToBinary();
cout<<"Binary Number is: "<<binaryNumber<<endl;
string finalConverted = convertNumber(binaryNumber,4);
cout<<finalConverted;
return 0;
}