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#include <stdio.h>
#include <math.h>
 
int a = 0,b = 0, c = 0, a1 = 0, b1 = 0, com[5] = { 1, 0, 0, 0, 0};
int anum[5] = {0}, anumcp[5] = {0}, bnum[5] = {0};
int acomp[5] = {0}, bcomp[5] = {0}, pro[5] = {0}, res[5] = {0};
 
void binary(){
     a1 = fabs(a);
     b1 = fabs(b);
     int r, r2, i, temp;
     for (i = 0; i < 5; i++){
           r = a1 % 2;
           a1 = a1 / 2;
           r2 = b1 % 2;
           b1 = b1 / 2;
           anum[i] = r;
           anumcp[i] = r;
           bnum[i] = r2;
           if(r2 == 0){
                bcomp[i] = 1;
           }
           if(r == 0){
                acomp[i] =1;
           }
     }
   c = 0;
   for ( i = 0; i < 5; i++){
           res[i] = com[i]+ bcomp[i] + c;
           if(res[i] >= 2){
                c = 1;
           }
           else
                c = 0;
           res[i] = res[i] % 2;
     }
   for (i = 4; i >= 0; i--){
     bcomp[i] = res[i];
   }
   if (a < 0){
      c = 0;
     for (i = 4; i >= 0; i--){
           res[i] = 0;
     }
     for ( i = 0; i < 5; i++){
           res[i] = com[i] + acomp[i] + c;
           if (res[i] >= 2){
                c = 1;
           }
           else
                c = 0;
           res[i] = res[i]%2;
     }
     for (i = 4; i >= 0; i--){
           anum[i] = res[i];
           anumcp[i] = res[i];
     }
 
   }
   if(b < 0){
     for (i = 0; i < 5; i++){
           temp = bnum[i];
           bnum[i] = bcomp[i];
           bcomp[i] = temp;
     }
   }
}
void add(int num[]){
    int i;
    c = 0;
    for ( i = 0; i < 5; i++){
           res[i] = pro[i] + num[i] + c;
           if (res[i] >= 2){
                c = 1;
           }
           else{
                c = 0;
           } 
           res[i] = res[i]%2;
     }
     for (i = 4; i >= 0; i--){
         pro[i] = res[i];
         printf("%d",pro[i]);
     }
   printf(":");
   for (i = 4; i >= 0; i--){
           printf("%d", anumcp[i]);
     }
}
void arshift(){
    int temp = pro[4], temp2 = pro[0], i;
    for (i = 1; i < 5  ; i++){
       pro[i-1] = pro[i];
    }
    pro[4] = temp;
    for (i = 1; i < 5  ; i++){
        anumcp[i-1] = anumcp[i];
    }
    anumcp[4] = temp2;
    printf("\nAR-SHIFT: ");
    for (i = 4; i >= 0; i--){
        printf("%d",pro[i]);
    }
    printf(":");
    for(i = 4; i >= 0; i--){
        printf("%d", anumcp[i]);
    }
}
 
int main(){
   int i, q = 0;
   printf("\t\tBOOTH'S MULTIPLICATION ALGORITHM");
   printf("\nEnter two numbers to multiply: ");
   printf("\nBoth must be less than 16");
   do{
        printf("\nEnter A: ");
        scanf("%d",&a);
        printf("Enter B: ");
        scanf("%d", &b);
     }while(a >=16 || b >=16);
 
    printf("\nExpected product = %d", a * b);
    binary();
    printf("\n\nBinary Equivalents are: ");
    printf("\nA = ");
    for (i = 4; i >= 0; i--){
        printf("%d", anum[i]);
    }
    printf("\nB = ");
    for (i = 4; i >= 0; i--){
        printf("%d", bnum[i]);
    }
    printf("\nB'+ 1 = ");
    for (i = 4; i >= 0; i--){
        printf("%d", bcomp[i]);
    }
    printf("\n\n");
    for (i = 0;i < 5; i++){
           if (anum[i] == q){
               printf("\n-->");
               arshift();
               q = anum[i];
           }
           else if(anum[i] == 1 && q == 0){
              printf("\n-->");
              printf("\nSUB B: ");
              add(bcomp);
              arshift();
              q = anum[i];
           }
           else{
              printf("\n-->");
              printf("\nADD B: ");
              add(bnum);
              arshift();
              q = anum[i];
           }
     }
 
     printf("\nProduct is = ");
     for (i = 4; i >= 0; i--){
           printf("%d", pro[i]);
     }
     for (i = 4; i >= 0; i--){
           printf("%d", anumcp[i]);
     }
}
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