Q.1. Using algebraic manipulation, simplify the following expressions to minimum number of literals and express the simplified function as SOP (sum of products i.e. AND terms that are ORed) and POS (product of sums i.e. OR terms that are ANDed): (i) F(A,B,C) = A'B'C' + A'BC + A'B'C + ABC (1) F(A,B,C) = (A+B+C) (A'+B'+C') (A+B'+C') (A+B+C') (ii) F(A,B,C,D) =A'B'D + A'D + BC (A' + D') (should be simplified to 5 literals only) (iii) F(A,B,C,D) = (A+B+C+D')•(A+B+C²+D')•(A+B²+C+D') (A+B'+C'+D') Hint: To convert a single product term to POS terms, OR with one of the variables in the term ANDed with its complement (e.g. AA', BB', CC' or DD'). This amounts to ORing with 0 which does not affect he expression).

Q.1. Using algebraic manipulation, simplify the following expressions to minimum number of literals and express the simplified function as SOP (sum of products i.e. AND terms that are ORed) and POS (product of sums i.e. OR terms that are ANDed): (i) F(A,B,C) = A'B'C' + A'BC + A'B'C + ABC (1) F(A,B,C) = (A+B+C) (A'+B'+C') (A+B'+C') (A+B+C') (ii) F(A,B,C,D) =A'B'D + A'D + BC (A' + D') (should be simplified to 5 literals only) (iii) F(A,B,C,D) = (A+B+C+D')•(A+B+C²+D')•(A+B²+C+D') (A+B'+C'+D') Hint: To convert a single product term to POS terms, OR with one of the variables in the term ANDed with its complement (e.g. AA', BB', CC' or DD'). This amounts to ORing with 0 which does not affect he expression).

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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