Below is the truth table for a 12-to-4 encoder. Highlight/box any 4-to-2 encoders and 4-to-1 selectors you want to use to build this, and complete the circuit. It's allowed to use any additional components and/or gates necessary to complete the design. The main thing is that complete the design. Please show all your works. Thanks.

0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 1 X O 0 0 1 1 0 0 0 0 0 0 X X O 0 1 1 0 0 000 0 X X X 0 011 1 0 0 000 1 X X X X 0 1 0 0 1 0 0 000 1 X X X X X 0 1 01 1 0 0 001 X X X X X X 0 1 1 0 1 0 0 01 X X X X X X X 0 1 11 1 0 0 0X X X X X X X X 1 00 0 1 0 0 1 X X X X X X X X X 1 001 1 0 1 X X X X X X X X X X 1 01 0 1