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3.. ) Consider a three-variable function f (x1, x2, x3), specified by the truth table in Table 1. 1 2 3 4 Table 1 Row number x1 0 0 0 1 0 1 0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 1 5 6 7 8 x3 f(x₁, x₂, x3) 1 x2 0 0 0 0 1 1 0 1 1 a). Derive the canonical sum-of-products form off. b). Use K-map to derive the simplest sum-of-products and product-of-sums for f. c). Design the gate-level circuit implementation for both simplest sum-of-products and product-of-sums forms of f.

3.. ) Consider a three-variable function f (x1, x2, x3), specified by the truth table in Table 1. 1 2 3 4 Table 1 Row number x1 0 0 0 1 0 1 0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 1 5 6 7 8 x3 f(x₁, x₂, x3) 1 x2 0 0 0 0 1 1 0 1 1 a). Derive the canonical sum-of-products form off. b). Use K-map to derive the simplest sum-of-products and product-of-sums for f. c). Design the gate-level circuit implementation for both simplest sum-of-products and product-of-sums forms of f.

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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3.. ) Consider a three-variable function f (x1, x2, x3), specified by the truth table nseloof swellol stil ot older Table 1 in Table 1. Row number x1 0 0 0 0 1 1 1 1 1 2 3 4 5 6 7 8 x2 x3 f(x₁, x2, x3) 0 0 1 1 0 1 0 1 1 0 0 1 0 1 1 0 1 0 0 1 1 0 1 1 a). Derive the canonical sum-of-products form of f. b). Use K-map to derive the simplest sum-of-products and product-of-sums for f. c). Design the gate-level circuit implementation for both simplest sum-of-products and product-of-sums forms of f.
Transcribed Image Text:3.. ) Consider a three-variable function f (x1, x2, x3), specified by the truth table nseloof swellol stil ot older Table 1 in Table 1. Row number x1 0 0 0 0 1 1 1 1 1 2 3 4 5 6 7 8 x2 x3 f(x₁, x2, x3) 0 0 1 1 0 1 0 1 1 0 0 1 0 1 1 0 1 0 0 1 1 0 1 1 a). Derive the canonical sum-of-products form of f. b). Use K-map to derive the simplest sum-of-products and product-of-sums for f. c). Design the gate-level circuit implementation for both simplest sum-of-products and product-of-sums forms of f.
Expert Solution
Step 1: To solve from the given table

a. Derive canonical sum of product form

b. using k-map, derive SOP and POS

c. design gate level circuit.

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