Carry Flag in 8-bit Addition

Code

#include <stdio.h>
#include <stdint.h>

void add_with_carry(uint8_t a, uint8_t b, uint8_t* result, uint8_t* carry) {
    *result=*carry=0;
    for(int i=0;i<8;i++){
        uint8_t s=(a>>i&1)+(b>>i&1)+*carry;
        if(s==1 || s==3){
            *result|=1<<i;
            *carry= s==1 ? 0 : 1;
        }
        else{
            *carry= s ? 1 : 0;
        }
    }
}

int main() {
    uint8_t a, b, result, carry;
    scanf("%hhu %hhu", &a, &b);

    add_with_carry(a, b, &result, &carry);

    printf("%u ", result);
    printf("%u", carry);
    return 0;
}

Solving Approach