3. Find the minimum number of AND gates required to implement the boolean expression ABC + AВС" + АВ' .

نه Construct the XOR operator using only AND, OR, and NOT gates. Construct the XOR operator using only NAND gates. Hint: xXOR y = (xy)(xy)

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)

Alert dont submit AI generated answer.

( w' + x' + y + z' )( w' + x' + y + z ). Draw the circuits before and after Simplify the expression simplification. Solution:

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.