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(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.

(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.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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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.
Expert Solution
Step 1: Summarize the details given:

Given Data:

A logic function of,

f open parentheses A comma B comma C comma D close parentheses equals stack sum m with blank below open parentheses 0 comma 2 comma 4 comma 7 comma 9 comma 12 comma 14 comma 15 close parentheses

To Find:

1.

a. Minimal SOP expression and an AND-OR and NAND-NAND logic diagram.

b. Implementation using 4-to-16 active high encoder.

2. Minimal POS expression and an OR-AND and NOR-NOR logic diagram.


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