Express each function in sum-of-minterms and product-of-maxterms form. (a) (xy+z)(y+xz) (b) y’z+wxy’+ wxz’+w’x’z Also  Implement both functions with a 4×1 multiplexer and minimal external gates.

Realize the given function into equivalent logic circuits. F=(W+Y)(X'+Z')(W'+X'+Y') a. Realize the given function using several-input basic gates. b. Realize the given function with 2-input basic gates only.

Q2: Can you answer this question with clearly showing your work

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5) Obtain a implementation of a half-adder circuit using standard gates such as AND, OR, NOT, XOR, etc. Obtain the minimal standard sum-of-products expressions for the Carry and Sum outputs of a half-adder. Compare these expressions with your implementation. PS:Please answer Number 6 after from number 5 6) Draw the schematic diagram of your implementation of the half adder from step 5).

4-35 Implement the following Boolean function with a 4 × 1 multìplexer and external gates. Connect inputs A and B to the selection lines. The input requirements for the four data lines will be a function of variables C and D. These values are obtained by expressing F as a function of C and D for each of the four cases when AB = 00, 01, 10, and 11. %3D These functions may have to be implemented with external gates. F(A, B, C, D) =E(1, 3, 4, 11, 12, 13, 14, 15) %3D

When a K-map implicant is called prime, it means that it cannot be removed without changing the functional description. O True O False