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) {
    // Your logic here
    *carry = 0;
    uint8_t sum = 0;

    while(b!=0)
    {
        if(b & (1<<7) && a & (1<<7)){
            *carry = 1;
        }
        sum = a^b;
        b = a&b;
        b <<= 1;
        a = sum;
    }
    *result = a;
    return;
}

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