Write the Boolean equation of the output Z directly from the following circuit [2 marks] (do not simplify). b. Using Karnaugh map, simplify the following Boolean function F (show your grouping): [2 marks] F (A, B, C) = E (1,3,5,6,7) = A'B'C + A'BC + AB'C + ABC' + ABC

Simplify the given Boolean function and design half and full adder according to given input symbols. S(x, y, z)                 =             XY’Z’+X’YZ’+XYZ+X’Y’Z = Z⊕ (X⊕Y)

just b

The output of a combinational circuit which implements a majority function F(x,y,z) is equal to 1 if more input variables are equal to 1 rather than 0. The output is O otherwise, e.g. F(1,1,0)=1, F(0,0,1)=0. Which of the following expressions represent the simplified expression for function F? F = xy + xz + yz OF= xz + xy F = x + zy + z OF = x e y e z