(a) Find a minimal sum-of-products (SOP) expression for the function f (A,B,C,D) = Σ m(0, 2, 4 7, 9, 12, 14, 15). Show logic diagrams in AND-OR and NAND-NAND logic. (b) Show how the above function can be implemented using a 4-to-16 active high decoder. 2. Find a minimal product-of-sums (POS) expression for the function in Prob. 1. Implement it using OR-AND and NOR-NOR logic.

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1(a) Find a minimal sum-of-products (SOP) expression for the function f (A,B,C,D) = Σ m(0, 2, 4,
7, 9, 12, 14, 15). Show logic diagrams in AND-OR and NAND-NAND logic.
(b) Show how the above function can be implemented using a 4-to-16 active high decoder.
2.
Find a minimal product-of-sums (POS) expression for the function in Prob. 1. Implement it
using OR-AND and NOR-NOR logic.
Transcribed Image Text:1(a) Find a minimal sum-of-products (SOP) expression for the function f (A,B,C,D) = Σ m(0, 2, 4, 7, 9, 12, 14, 15). Show logic diagrams in AND-OR and NAND-NAND logic. (b) Show how the above function can be implemented using a 4-to-16 active high decoder. 2. Find a minimal product-of-sums (POS) expression for the function in Prob. 1. Implement it using OR-AND and NOR-NOR logic.
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