) Design the simplest sum-of-products circuit that implements the function f (x1, x2, x3) = E(3, 4, 6, 7).

create a circuit for Full Adder S=A'B'C'in+A'BCin+AB'Cin+ABC'in

The following function is given. Implement it using a 3x8 multiplexer F (A, B, C, D) = ∏ (0, 2, 5, 9, 11, 14 d (don’t care) (A, B, C, D) = ∑ (3, 8, 10, 15) Draw truth tables, Karnaugh maps, logic diagrams

A combinational circuit is described by this Boolean Expression: F(A,B,C,D) = 2m(0,2,4,8,9) i) Minimise the Boolean Expression given above using a Karnaugh map. ii) Given Don't Care conditions d = Em (10,11,12), use a separate Karnaugh map to demonstrate how you would further simplify the expression in part i). iii) Use Switching Algebra to show how you would implement the function obtained in part ii) by using NAND gates only. Provide a circuit diagram in your answer. Show all your working.