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#include <iostream>
#include <string>
#include <cmath>
using namespace std;
//Function Prototypes
void signbit(double number, string &x); // checks sign of number; positive (0) or negative (1)
void zoro(double number, int &whole, double & fraction); // separates the integer value from the decimal value (ex. -10.25)
string wholeconverter(int whole); // converts the integer value to binary (ex. 10 = 1010)
string fractionconverter(double number); // converts the decimal value to binary (ex. 0.25 = 0100 0000 0000 0000 0000 0000)
string numberconverter(string wholebinary, string fracbin); // converts number entered into binary (ex. 10.25 = 00001010.0100000000000....)
string mantissaconverter(string wholebinary, string fracbin); //displays mantissa of converted number (ex. 01001000 00000000 .....)
string exponentconverter(string fullbinary); //converts integer of entered number into binary (ex. 130 = 10000010)
void fullconverter(string fracbin); //displays entered number in IEEE 754 single precision binary (ex. -10.25 = 01000001 00100100 00000000 00000000)
void hexconverter(double number); //displays entered number into IEEE 754 single precision HEX (ex. -10.25 = C1240000)
//C++ entry point
int main()
{
//Declaration
string x; // Sign
string wholebinary, fracbin, fullbinary, mantissa;
int whole, exponent;
double number, fraction, binary;
char choice, hex;
//Initialization
fraction = 0.00;
number = 0.00;
exponent = 0;
whole = 0;
binary = 0.00;
hex = 0;
choice = 0;
x = "";
fracbin = "";
wholebinary = "";
fullbinary = "";
mantissa = "";
signbit(number, x);
zoro(number, whole, fraction);
wholebinary = wholeconverter(whole);
fracbin = fractionconverter(fraction);
fullbinary = numberconverter(wholebinary, fracbin);
mantissa = mantissaconverter(wholebinary, fracbin);
// Menu Display
cout << "PLEASE ENTER A NUMBER TO DISPLAY THE IEEE 754 FLOATING POINT OPTIONS." << endl;
cin >> number;
cout << " " << endl;
cout << "PLEASE CHOOSE ONE OF THE FOLLOWING OPERATIONS: " << endl;
cout << "1. DISPLAY THE SIGN BIT VALUE" << endl;
cout << "2. DISPLAY THE INTEGER PART IN BOTH BASE-10 AND BINARY FORMATS" << endl;
cout << "3. DISPLAY THE DECIMAL PART IN BOTH BASE-10 AND BINARY FORMATS" << endl;
cout << "4. DISPLAY THE NUMBER ENTERED IN BOTH BASE-10 AND BINARY FORMATS" << endl;
cout << "5. DISPLAY THE MANTISSA IN BINARY FORMAT" << endl;
cout << "6. DISPLAY THE EXPONENT IN BOTH BASE-10 AND BINARY FORMAT" << endl;
cout << "7. DISPLAY THE IEEE 754 SINGLE PRECISION BINARY FORMAT" << endl;
cout << "8. DISPLAY THE IEEE 754 SINGLE PRECISION HEX FORMAT" << endl;
cout << " " << endl;
//Operation Selection
cin >> choice;
switch (choice)
{
case '1':
signbit(number, x); // Function Call
if (number >= 0)
{
cout << "SIGN BIT IS (" << x << ") SINCE THE NUMBER ENTERED IS POSITIVE." << endl;
}
else
{
cout << "SIGN BIT IS (" << x << ") SINCE THE NUMBER ENTERED IS NEGATIVE." << endl;
}
break;
case '2':
zoro(number, whole, fraction); // Function Call
wholebinary = wholeconverter(whole); // Function Call
cout << "NUMBER (" << abs(whole) << ") IN BASE-10 IS EQUAL TO ("<< wholebinary << ") IN BINARY" << endl;
break;
case '3':
zoro(number, whole, fraction); // Function Call
wholebinary = wholeconverter(whole); //
fracbin = fractionconverter(fraction); // Function Call
cout << "NUMBER (" << abs(fraction) << ") IN BASE-10 IS EQUAL TO (" << fracbin << ") IN BINARY" << endl;
break;
case '4':
zoro(number, whole, fraction); //Function Call
wholebinary = wholeconverter(whole); //
fracbin = fractionconverter(fraction); // Function Call
fullbinary = numberconverter(wholebinary, fracbin);
cout << "NUMBER(" << abs(number) << ") IN BASE-10 IS EQUAL TO (" << fullbinary << ") IN BINARY" << endl;
break;
case '5':
zoro(number, whole, fraction); //Function Call
wholebinary = wholeconverter(whole); //
fracbin = fractionconverter(fraction); // Function Call
fullbinary = numberconverter(wholebinary, fracbin);
mantissa = mantissaconverter(wholebinary, fracbin); // Function Call
cout << "MANTISSA IS (" << mantissa << ") IN BINARY." << endl;
break;
case '6':
exponentconverter(fullbinary); // Function Call
cout << "NUMBER (exponent ex.) IN BASE-10 IS EQUAL TO (exponenttobinary(exponent,binary) ex.) IN BINARY." << endl;
break;
case '7':
fullconverter(fracbin); // Function Call
break;
case '8':
hexconverter(number); // Function Call
break;
default:
cout << "INVALID INPUT" << endl;
break;
}
return 0;
}
/////////////////////////////////////////////////
// signbit function
// checks the sign of the number, positive or negative
// void type
// 2 parameters; one pass by value (number) and one pass by reference (&x)
// number, &x
void signbit(double number, string &x)
{
if (number >= 0.00)
{
x = '0';
}
else
{
x = '1';
}
}
////////////////////////////////////////////////////
// zoro function
// void function
// seperates the integer value from the decimal value
// 3 parameters; one pass by value and two pass by reference
// number, whole, fraction
void zoro(double number, int &whole, double &fraction)
{
// declartion
//int whole;
//double fraction;
// initialization
fraction = 0.0;
whole = 0;
whole = (int)number;
fraction = number - whole;
// no return statment
//return a, b, c, d; only the one before the ; will be reported back
}
///////////////////////////////////////////////////
// wholeconverter function
// string function
// Converts the integer value to binary
// 1 parameter; pass by value
// whole
string wholeconverter(int whole)
{
//declaration
string wholeb;
//initialization
wholeb = "";
if (whole < 0)
whole = whole * -1;
whole = abs(whole);
while (whole > 0)
{
if (whole % 2 == 0)
{
wholeb = "0" + wholeb;
}
else
{
wholeb = "1" + wholeb;
}
whole = whole / 2;
}
return wholeb;
}
////////////////////////////////////////
// fractionconverter function
// string function
// converts the decimal value to binary
// 1 parameter, pass by value
// fraction
string fractionconverter(double num)
{
// result
string result = "";
int flag = 0;
//if (num <0) num = num * -1; //big O
num = num;
while (flag <= 30) // number of position mantissa precision
{
flag++; // increment for precision
num = num * 2;
if (num >= 1)
{
result = result + '1';
num = num - 1;
// num = num - (int)num;
}
else
result = result + '0';
}
return result;
}
////////////////////////////////////////
// numberconverter function
// string type
// displays the number entered into binary format
// 2 parameters, both pass by value
// number, fracbin
string numberconverter(string wholebinary, string fracbin)
{
string result = "";
result = wholebinary + "." + fracbin;
return result;
}
////////////////////////////////////////
// mantissaconverter function
// string type
// displays the mantissa of the converted number in binary format
// 1 parameter, pass by value
// mantissa
string mantissaconverter(string wholebinary, string fracbin)
{
string result = "";
result = wholebinary + fracbin;
string mantissa(result, 1, 24);
if (mantissa.substr(1, 23) == "1")
{
mantissa = mantissa.substr(0, 22) + "1";
}
return mantissa;
}
////////////////////////////////////////
// exponentconverter function
// string type
// converts the exponent of the entered number into binary format
// 1 parameter, pass by value
// exponent
string exponentconverter(string fullbinary)
{
string exponent = "";
exponent = fullbinary.length() - 1;
}
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