Q$.1$ Design a binary multiplier to multiply two $4-$bit numbers by utilizing AND gates and binary adders in the design. Q$.2$ You are required to design a combinational logic circuit that takes two $4-$bit numbers A and $B$ and a $1-$bit input $C.$ The circuit should function as an adder or a subtractor of the inputs A and $B,$ such that based on the input $C$ it toggles between addition and subtraction. Assume that $A>B.$ Q$.3$ Design a combinational circuit based on the given three Boolean functions. $F_1(A,B,C)=(2,4,7)F_2(A,B,C)=(0,3)F_3(A,B,C)=(0,2,3,4,7)$ Implement the circuit using a decoder constructed with NAND gates and "NAND or AND" gates connected to the decoder outputs. Q$.4$ Con