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Consider the Boolean function

Consider the Boolean function

Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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1) Consider the Boolean function f= Σ (0, 2, 3, 7, 8, 10, 12, 14, 15) After drawing the K-map, and determining all the prime implicants, find all minimal forms of f. 2) Consider the function F, obtained from fby just adding one minterm, the one corresponding to 5, that is, F = 2 (0, 2, 3, 5, 7, 8, 10, 12, 14, 15) Just like for the function above, f, find all minimal forms of F. Explain how does the solution change when the function has just one additional minterm. Encircle and enumerate all the solutions you obtained for f, and for F. Solution 1) K-Map drawing 2) List and encircle all minimal form for f below List and encircle all minimal form for F below
Transcribed Image Text:1) Consider the Boolean function f= Σ (0, 2, 3, 7, 8, 10, 12, 14, 15) After drawing the K-map, and determining all the prime implicants, find all minimal forms of f. 2) Consider the function F, obtained from fby just adding one minterm, the one corresponding to 5, that is, F = 2 (0, 2, 3, 5, 7, 8, 10, 12, 14, 15) Just like for the function above, f, find all minimal forms of F. Explain how does the solution change when the function has just one additional minterm. Encircle and enumerate all the solutions you obtained for f, and for F. Solution 1) K-Map drawing 2) List and encircle all minimal form for f below List and encircle all minimal form for F below
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