# Subtraction of two binary numbers using C

Basic Theory

Subtraction can be regarded as addition. For example A – B is same as A + (-B). In binary most computer uses 2’s complement form to represent negative binary number. The subtrahend is first converted to 2’s complement form to make it negative and then is added to minued. This is same as above example.

Code Assumption

This code is capable to perform subtraction between two decimal numbers from 0 to 127. The subtrahend is first converted into 2’s complement form and then addition is performed. After addition the result is obtained. If the result has 1 in its MSB then it is treated as negative result and is converted to decimal format otherwise it is treated as positive number and converted to positive decimal.

Source Code:
#include <stdio.h>
#include <math.h>

void decimalToBinary(int, int [], int);
int addBinary(int a1[], int a2[], int result[]){
int i, c = 0;
for(i = 0; i < 8 ; i++){
result[i] = ((a1[i] ^ a2[i]) ^ c); //a xor b xor c
c = ((a1[i] & a2[i]) | (a1[i] &c)) | (a2[i] & c); //ab+bc+ca
}
result[i] = c;
return c;
}

void twoComplement(int array[]){
int i;
int one = {0,0,0,0,0,0,0,0};
decimalToBinary(1, one, 0);
int result = {0,0,0,0,0,0,0,0};
for(i = 0; i < 8; i++){
if(array[i]) array[i] = 0;
else array[i] = 1;
}
for(i = 0; i < 8; i++){
array[i] = result[i];
}
}
void decimalToBinary(int op1, int aOp[], int isSubtrahend){
int result, i = 0;
do{
result = op1 % 2;
op1 /= 2;
aOp[i] = result;
i++;
}while(op1 > 0);
if(isSubtrahend) twoComplement(aOp);
}

int binaryToDecimal(int array[]){
int sum = 0, i;
for(i = 0; i < 7; i++){
if(array[i]) sum += pow(2,i);
}
if(array) sum -= pow(2, 7);
return sum;

}

void showBinary(int array[], int n){
int i;
for(i = n - 1; i >=0; i--){
printf("%d ", array[i]);
}
printf("\n");
}

int main(){
int op1, op2, diff;
int  aOp1 = {0,0,0,0,0,0,0,0};
int  aOp2 = {0,0,0,0,0,0,0,0};
printf("Enter Minued: ");
scanf("%d", &op1);
while(op1 < 0 || op1 > 127){
printf("Enter Minued: ");
scanf("%d", &op1);
}
printf("Enter subtrahend: ");
scanf("%d", &op2);
while(op2 < 0 || op2 > 127){
printf("Enter subtrahend: ");
scanf("%d", &op2);
}
decimalToBinary(op1, aOp1, 0);
decimalToBinary(op2, aOp2, 1);

printf("Binary Equivalent of %d is ",op1);
showBinary(aOp1, 8);
printf("2's Complement Equivalent of %d is ",op2);
showBinary(aOp2, 8);

printf("Diffenece in Binary: ");
printf("Difference in Decimal: %d", diff);

return 0;
}

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### 1 Response

1. Leafar501 says:

Thank u very much for the help. It really helped a lot and it’s quite simple now that I see. I learnt a lot with this code and hope more people can find this useful as I did. Once more, thanks a lot pal. 