Final answer:
The result after inversion is 0000000000100000, and the most significant '1' gives us the output 0100 in binary.
Step-by-step explanation:
The question asks for the active high binary output corresponding to the active low hexadecimal input FFDF16 to a 16-to-4 binary encoder. An active low input means that a '0' represents a high (1) signal, and '1' represents a low (0) signal. Therefore, we need to convert the active low hexadecimal input to an active high binary output.
First, we should convert the hexadecimal number to its binary equivalent, remembering that it is active low. The hexadecimal number FFDF16 is equivalent to 1111111111011111 in binary. To get the active high binary output, we invert the bits, turning '0's into '1's and vice versa. The inverted result will be 0000000000100000.
Next, we only need the last four (least significant) bits to get the output of the binary encoder. Since a 16-to-4 binary encoder only considers the highest valued '1' and encodes its position, in this case, the binary output will be 0100, which corresponds to the second least significant '1' in the binary number, indicating the position 4 (starting from position 1).