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/**
@file numbersystem.cpp
@author Margaret Fink
@date 2011- 04-14
Description: Menu-driven application that performs conversions among
numbers of different bases.
Course: CS1253 Section: 2
Logon ID: cs125377
Programming Project #: 5
Instructor: Duncan
*/
# include <iostream>
# include <cmath>
using namespace std;
/*
* This function display the menu shown in this
* project description
*/
void menu()
{
cout<<" NUMBER SYSTEM APPLICATION "<<endl;
cout<<"===================================="<<endl;
cout<<"[1] Base-10 -> Nonbase-10"<<endl;
cout<<"[2] Nonbase-10 -> Base-10"<<endl;
cout<<"[3] Nonbase-10 -> Nonbase-10"<<endl;
cout<<"[0] Exit"<<endl;
cout<<endl;
}
/*
* This function returns the value of the digit
* of a non base 10 number.
* @param digit a character 0-9 or A-Z
* @ return 1 for the character ’1’, 2 for the
* character ’2’, ..., 10 for the character ’A’,
* 11 for the character ’B’, 12 for the character
* ’C’, etc.
*/
char valueToDigit(int value)
{
if(0 <= value <= 9)
value = value + 48;
else
value = value + 55;
return value;
}
/*
* This function converts a base-10 number to
* a string equivalent to a non-base 10 number.
* @param base10Num a non-negative integer
* @param base a number greater than 1 representing
* the base to which the base10Num is to be converted.
* @return a string representing the base b
* equivalent of the base 10 number.
*/
string fromBase10(long base10Num, long base)
{
string ans = " ";
int remain;
int Q = base10Num;
while(Q != 0)
{
remain = (Q % base);
Q = Q/base;
ans = valueToDigit(remain);
}
return ans;
}
/*
* This function converts a non base 10 number to
* a base 10 number.
* @param nonBase10Num a string representation of
* a non-base 10 number; nonBase10Num
* is assumed to be a valid number in the indicated base.
* @param base a number greater than 1 representing
* the base of the nonBase10Num.
* @return the base 10 equivalent on the non-base 10
* number, nonBase10Num.
*/
long toBase10(string nonBase10Num , long base)
{
int i;
int j;
int base10;
for(i = nonBase10Num.length() - 1; i >= 0; i--)
{
digitToValue(nonBase10Num[i]);
base10 = nonBase10Num[i] * pow(base,j);
j++;
}
return base10;
}
int main()
{
int option;
do
{
menu();
cout<<endl;
cout<<"Select an option.";
cin>>option;
switch(option)
{
case 1: cout<<"Enter a non-negative integer:";
int integer;
cin>> integer;
cout<<"To which base should it be converted?";
int baseConvrt;
cin>>baseConvrt;
fromBase10(integer,baseConvrt);
cout<<integer<<" = "<<fromBase10<<" base "<<baseConvrt<<endl;
break;
case 2: cout<<"Enter a non base-10 number:";
int nonBase;
cin>> nonBase;
cout<<"To whish base does this number belong?";
int baseNum;
cin>> baseNum;
toBase10(nonBase,baseNum);
cout<<nonBase<<" = "<<toBase10<<" base "<<baseNum<<endl;
break;
case 3: cout<<"Enter a non base-10 number:";
cin>> nonBase;
cout<<"To which base does this number belong?";
int base;
cin>> base;
cout<<"To which base should it be converted?";
cin>> baseConvrt;
toBase10(nonBase,base);
fromBase10(toBase10,baseConvrt);
cout<<nonBase<<" = "<<fromBase10<<" base "<<baseConvrt;
break;
case 0:
break;
default:
cout<<"Invalid option... please try again."<<endl;
}
}while(option != 0);
return 0;
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