Problem 1: (10 points) 5 points) (5 points) For each of the boolean functions above, design the combinational circuit using: (a) Decoder and OR gates. (b) Decoder and NOR gates. (c) 8x1 Multiplexer and logic gates. (d) 4x1 Multiplexer and logic gates. (e) 2x1 Multiplexer and logic gates. Problem 2: Design a combinational logic circuit that generates the 2's complement of a four bit number using: (3 points) 1. Basic logic gates. 2. All NAND gates. . All XOR gates. Problem 3: (4 points) Using only 4 full-adders and logic gates, design a four-bit adder subtracter with an input F, that determine the operation of the adder/subtracter. If F = 0, then it is operating as a subtracter Otherwise, it is operating as an adder Problem 4: (4 points) Design a 1 decinal digit BCD adder. The adder inputs are the operands A and B and the carry-in Cin The outputs are the sum and the carry-out Cou Problem 5: (2 points) 1. Convert (-15)i0 to 7-bit 2's complement 2. Convert (101011)2% to decimal