Assume A=A 3 A 2 A 1 A 0 , and B=B 3 B 2 B 1 B 0 , both 4 bit binary numbers. If Y=3A+B, design a digital circuit that implements Y using the minimum hardware. You may only use 4 bit adders, Half...

Assume A=A₃A₂A₁A₀, and B=B₃B₂B₁B₀
, both 4 bit binary numbers. If Y=3A+B,

design a digital circuit that implements Y using the minimum hardware. You may only  use 4 bit adders, Half adders, Full adders, and  a small number of logic gates as necessary.