32.256_10 -> ?_16

1. Convert the integer part (32) to hexadecimal: 32 / 16 = 2 R 0, 2 / 16 = 0 R 2. So, 32_10 is 20_16.
2. Convert the fractional part (0.256) to hexadecimal by successive multiplication by 16:
0.256 * 16 = 4.096 (integer part is 4)
0.096 * 16 = 1.536 (integer part is 1)
0.536 * 16 = 8.576 (integer part is 8)
3. The fractional part is approximately 0.418_16.
4. Combining the integer and fractional parts: 20.418_16.