Convert Decimal Number to Binary or Hex Without itoa function

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

void print_base(uint16_t num, uint8_t base) {
    // Your logic here
    if (num == 0) {
        printf("0\n");
        return;
    }
    char result[33];
    int index = 0;
    while(num > 0){
        int val = num % base;
        if(val < 10){
            result[index] = val + '0';
        }
        else if(val >= 10){
            result[index] = (val - 10)+'A';
        }
        num = num / base;
        index++;
    }
    for (int j = index - 1; j >= 0; j--) {
        printf("%c", result[j]);
    }
    printf("\n");

}

int main() {
    uint16_t num;
    uint8_t base;
    scanf("%hu %hhu", &num, &base);

    print_base(num, base);
    return 0;
}