The extraterrestrial life project team has just discovered aliens living on the bottom of Mono Lake. They need to construct a circuit to classify the aliens by potential planet of origin based on measured features available from the NASA probe: greenness, brownness, sliminess, and ugliness. Careful consultation with xenobiologists leads to the following conclusions: 

• If the alien is green and slimy or ugly, brown, and slimy, it might be from Mars. 
• If the critter is ugly, brown, and slimy, or green and neither ugly nor slimy, it might be from Venus. 
• If the beastie is brown and neither ugly nor slimy or is green and slimy, it might be from Jupiter. 

Note that this is an inexact science; for example, a life form which is mottled green and brown and is slimy but not ugly might be from either Mars or Jupiter. (a) Program a 4 × 4 × 3 PLA to identify the alien. You may use dot notation.
(b) Program a 16 × 3 ROM to identify the alien. You may use dot notation.
(c) Implement your design in an HDL.