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) {
    uint8_t co = 0;
    *carry = 0;
    
    while (b) {
        co = a & b;
        a ^= b;
        if (co & 0x80) // carrying over to 8th bit.
            *carry = 1;
        b = (co << 1);
    }

    *result = a;
}

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