Question

Create design document for a program that will allow the user:

• Convert a number to binary.
• Convert from binary to number.
• Display the hexadecimal representation of a binary number.
• Given an hexadecimal display its binary representation.
• Convert a number to IEEE single precision and vice versa.
• More to come.

PLEASE ADD PSEUDOCODE AND USE C PROGRAMMING

USE FUNCTIONS IF POSSIBLE

Answer 1

/*

program is written in c programming language for all the above operations using function

*/

#include<math.h>
#include <stdio.h>
void numtoBinary(int n);
void Binarytodec(int n);
void hextobin(char* hd);
void bintohex(int n);

//conversion from number to ieee single precision
int binary(int n, int i)
{
int k;
for (i--; i >= 0; i--)
{
k = n >> i;
if (k & 1)
printf("1");
else
printf("0");
}
}
typedef union
{
float f;
struct
{
unsigned int mantissa : 23;
unsigned int exponent : 8;
unsigned int sign : 1;
} field;
} myfloat;

//conversion from ieee single precision to number

typedef union {
  
float f;
struct
{

unsigned int mantissa : 23;
unsigned int exponent : 8;
unsigned int sign : 1;
  
} raw;
} myfloat1;

unsigned int convertToInt(int* arr, int low, int high)
{
unsigned f = 0, i;
for (i = high; i >= low; i--) {
f = f + arr[i] * pow(2, high - i);
}
return f;
}

//main method

int main()
{
int ch,a,i;
char str[100] ;
myfloat var;
myfloat1 var1;
unsigned int ieee[32];
printf("1.conversion from number to binary\n 2.conversion from binary to number\n3.conversion from hexadecimal to binary");
printf("\n 4.conversion from binary to hexadecimal\n 5.conversion from number to IEEE single pricision\n 6.conversion from IEEE single pricision to number");
printf("\n \n enetr a choice : ");
scanf("%d",&ch);
switch(ch)
{
   case 1:
  
printf("enter a decimal number");
scanf("%d",&a);
           numtoBinary(a);
           break;
   case 2:
           printf("enter a binary number");
scanf("%d",&a);
           Binarytodec(a);
           break;
   case 3:
     
   printf("enter a hexadecimal number");
scanf("%s",str);
           hextobin(str);
           break;
       case 4:
       printf("enter a binary number");
scanf("%d",&a);
           bintohex(a);
           break;
   case 5:
          
printf("Enter any float number: ");
scanf("%f",&var.f);
printf("%d ",var.field.sign);
binary(var.field.exponent, 8);
printf(" ");
binary(var.field.mantissa, 23);
printf("\n");
           break;
   case 6:
printf("enter 32 bit unsigned IEEE number");
for(i=0;i<32;i++)
{
scanf("%d",&ieee[i]);
}
unsigned f = convertToInt(ieee, 9, 31);
var1.raw.mantissa = f;
f = convertToInt(ieee, 1, 8);
var1.raw.exponent = f;

var1.raw.sign = ieee[0];
  
printf("The float value of the given IEEE-754 representation is : \n");
printf("%f", var1.f);
          
           break;
   default:
           printf("invalid choice");
           break;
}
return 0;
}

//conversion from decimal to binary
void numtoBinary(int n)
{
int bN[32];
printf("decimal number : %d",n);
int i = 0;
while (n > 0) {
  
bN[i] = n % 2;
n = n / 2;
i++;
}
printf("\n binary number :");
for (int j = i - 1; j >= 0; j--)
printf("%d",bN[j]);

}

//conversion from binary to decimal
void Binarytodec(int n)
{
  
int dec = 0, i = 0, rem;
printf("binary number : %d",n);
while (n != 0) {
rem = n % 10;
n /= 10;
dec += rem * pow(2, i);
++i;
}
  
printf("\n decimal number :%d",dec);
}

//conversion from hexadecimal to binary
void hextobin(char* hd)
{
  
long int i = 0;
  
while (hd[i]) {
  
switch (hd[i]) {
case '0':
printf("0000");
break;
case '1':
printf("0001");
break;
case '2':
printf("0010");
break;
case '3':
printf("0011");
break;
case '4':
printf("0100");
break;
case '5':
printf("0101");
break;
case '6':
printf("0110");
break;
case '7':
printf("0111");
break;
case '8':
printf("1000");
break;
case '9':
printf("1001");
break;
case 'A':
case 'a':
printf("1010");
break;
case 'B':
case 'b':
printf("1011");
break;
case 'C':
case 'c':
printf("1100");
break;
case 'D':
case 'd':
printf("1101");
break;
case 'E':
case 'e':
printf("1110");
break;
case 'F':
case 'f':
printf("1111");
break;
default:
printf("\nInvalid hexadecimal digit %c",
hd[i]);
}
i++;
}
}

//conversion from binary to hexadecimal
void bintohex(int bval)
{
long int hexval = 0, i = 1, rem;


while (bval != 0)
{
rem = bval % 10;
hexval = hexval + rem * i;
i = i * 2;
bval = bval / 10;
}
printf("hexadecimal number: %lX", hexval);
}