Find the minimum sum-of-products expression for each function.(a) f(a, b, c, d) = E m(0, 2, 3, 4, 7, 8, 14)(b) f(a, b, c, d) = E m(1.2,4, 15) +E d(0, 3, 14)(c) f(a, b, c, d) = II M(1, 2,3, 4, 9, 15)(d) f(a, b, с, d) %3D П М(0, 2, 4, 6, 8) П D(1, 12, 9, 15)5.7П М(1,2, 3,4, 9, 15)

Given that 4 variables - a,b,c,d And the expressions all are sum of products only

Answered: 7 Find the minimum sum-of-products…

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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Q10/the minimum sum- of- products for the following function is F(A,B,C,D,E)=Em(0,3,5,7,9)+Ed( 2,4,6,10,15)using Quine - McClusky method : * ΑB'ΕAΒ'D+A'B'C+A'CDE A'BC'D'E+A'B'E'+A'B'D+A'B'c None of them O A'CDE+A'BC'D'E+A'B'E'+A'B'D+A'B'C 'Β'Ε'+Α'Β'Ε'+A'B' D+AB'C
Design the combinational system that implements the following function f(x,y,z,w)=€(0,2,6,10,12,15) +d(7,13)
QUESTION 3 a) Derive the Boolean expression of M in standard Product of Sums (POS) and Sum of Product (SOP) format for the given truth table. Input Output M А в с 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 b) Apply K-map to minimize the Boolean Expression M in SOP form.
:Use Karnaugh map to simplify the following Boolean expression : F(a, b, c, d, e) = [lm (0, 2, 6, 8, 12, 14, 16, 18, 26) + d (4, 9, 10, 24)
Solve the problem and simplify the output function using Quine – Mc Cluskey Method F (A,B,C,D) = Σm (0,2,4,6,8,10,12,14)
[5] Implement the following Boolean function with a multiplexer: (a) F(A,B,C, D) = E(0,2,5,7,11, 14) (b) F(A,B,C,D) %3D П(3,8, 12) %3D
1. Obtain minimized SOP and POS for the following logic function: Z(A,B,C,D,E,F)=Em(0,1,2,3,4,7,9,12,14,16,17,20,23,26,27,28,31,34,35,36,37,39,41,46,49,52,53,57,60,61,63)+ Ed(6,22,38,42,43,44,45,50,51) Input type should be terms. Type how many variables and function, and choose Enter Names under Variable and Function Names Tab to change variable names Input terms format should match Logic Aid guideline. For example, for the function Z = Em(1,3)+ Σd(2,6) the input would be "1 3,,2 6." See "Help" for more information. In the simplification box select the correct SOP or POS form. In the simplification box use "Petrick-All Minimal Solutions" to obtain SOP and use "PI Chart-One Irredundant Solutions" to obtain POS.
Find the sum-of-products expansions of these Boolean functions. a) F(x,y) = 0 b) F(x,Y) = x
3. Use the Karnaugh-Map to simplify the following expressions F(A, B, C) = ABC + ABC + ABC + ABC + ABC F(A,B,C,D) = A + AB + ABC + BCD + ACD ii.
Q3: The following Boolean function Y=f(A,B,C,D,E,F) =Em (0,1,2,4,5,6,7,9,13,15,17,19,21,23,26,27,29,30,31,33,37,39,40,42,44,45) Design the function with minimal logic gates using Karnaugh Map Method.
Please show all working. 1. Consider the Boolean function F(A, B, C,D,E) = > m(1,2,3,4,8,9,11,13,14,16,17,18,20,21,26,29,31) (a) Implement the function using one 16x1 multiplexer. (b) Implement the function using two 8x1 multiplexers.
Implement the following function using NOR gate only: a) F (A,B,C,D) = [I (0,4,8,12), d (1,2,3) b) Y (D,C,B,A) = E (2,3,5,6,7), d (8,9)

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7 Find the minimum sum-of-products expression for each function. (a) f(a, b, c, d) = E m(0, 2, 3, 4, 7, 8, 14) (b) f(a, b, c, d) = E m(1,2,4, 15) +E d(0, 3, 14) (c) f(a, b, c, d) = II M(1, 2, 3, 4, 9, 15) (d) fla b c d)= M(0 2 4 6.8) %3D II D(1 12 9 15)