Your task is to design and implement a circuit in hdl which takes two 2-bit numbers as input and produces a 3-bit output. The circuit has 6 inputs (f1,f0,A,B,C,D) and 3 outputs (E,F,G). The function of the circuit is determined by two of the inputs f1 and f0. The truth tables below define the operation of the circuit for each combination of f1 and f0. f1,f0=(0,0)FZero f1,f0=(0,1) FOne f1,f0=(1,0) FTwo f1,f0=(1,1) FThree a) Using Karnaugh maps derive the minimum Boolean expression for each of the outputs in each of the truth tables. Upload a copy of your Karnaugh maps and derived Boolean expressions to Gradescope