Convert Decimal Number to Binary or Hex Without itoa function

Code

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

void print_base(uint16_t num, uint8_t base) {
    // Your logic here
    int i = 0, rem;
    if(base == 2) {
        char bin[16];
        if(num == 0) {
            printf("0");
        }
        else {
            while(num > 0) {
                rem = num % 2;
                bin[i] = '0' + rem;
                i++;
                num /= 2;
            }
            bin[i] = '\0';
            for(int j = i - 1; j >= 0; j--)
                printf("%c", bin[j]);
        }
    }
    else if(base == 16){
        int i = 0;
        char hex[10];
        if(num == 0) {
            printf("0");
        }
        else {
            while(num > 0) {
                rem = num % 16;
                if(rem < 10) {
                    hex[i] = '0' + rem;
                }
                else {
                    hex[i] = 'A' + (rem - 10);
                }
                i++;
                num /= 16;
            }
            hex[i] = '\0';
            for(int j = i -1; j >= 0; j--)
                printf("%c", hex[j]);
        }
    }
}

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

    print_base(num, base);
    return 0;
}

Solving Approach