#include <math.h>

char toFloat(float arg) {

    char sign = (arg < 0) ? 1 : 0;

    arg = fabsf(arg);

    int expo = (int)log2f(arg);

    if (expo < -3) {
        expo = -3;
    } else if (expo > 4) {
        expo = 4;
    }

    // Normalize the mantissa
    float mantissa = arg / powf(2, expo);

    // Convert mantissa to 4-bit representation
    char mantissa_bits = (char)(mantissa * 16);

    // Combine the sign, expo, and mantissa bits
    char result = (sign << 7) | ((expo + 3) << 4) | mantissa_bits;

    return result;
}