Q10/the minimum sum- of-products for the followingfunction isF(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'CDEA'BC'D'E+A'B'E'+A'B'D+A'B'cNone of themO 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

Answered: Q10/the minimum sum- of- products for…

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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Using Kmaps, determine all the minimal sums and minimal products for the following functions: F(w,x,y,z) = ∑m(6,7,9,10,13) + dc(1,4,5,11,15) F(w,x,y,z) = ∑m(1,2,3,4,6,9,12,14)+dc(5,7,15) F(w,x,y,z) = ∏M(0,2,3,5,6,9,10,11,13) F(w,x,y,z) = wx + y’z + wx’y’ + w’xyz F(w,x,y,z) = (w+x’)(w+y+z)(w’+x’+z’)(w+y’+z)
Q2: The following Boolean function Y=f(A.B.C,D,E) = Em (0,1,4,5,16,17,21,23,25,29)+d(7,27,31) Design the function with minimal logic gates and simplify the functions Using Karnaugh Map Method.
Q3. Assuming (103 ),, =(abcdefg),, a Boolean function F(4,B,C,D) is given by the following truth table: (103 ), =bedefg), АВCD F 0000 1 0001 a 0010 b 0011 0100 d) Draw the corresponding Karnaugh map for the Product of Sums (PoS) minimization d. e) Obtain the minimal PoS expression for F(A, B,C,D) from the map f) Draw the corresponding standard PoS form circuit for F(A,B,C,D) 0101 e 0110 f 0111 g 1000 1001 1010 1011 1100 e d 1101 1110 b 1111 a
Example: Show that -(pv(-pAq)) is logically equivalent to PA¬q
Use K-map to obtain the minimized sum of products form of the function A x'y'+x'z' f (x,y,z,w) = SEGMA (0,1,2,3,4,5) C x'y'+x'z D x'y'+x'w' E) x'y'+x'w
Given the Boolean function F(x,y,z) = Σ(0,6), simplify it using the Karnaugh map. Be sure to type/write your complete solution.
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prove that F ty Simplify the following Boolean function using sum-of-products format F(A.B.C.D) = E (0, 2, 3, 7, 8. 10. 11, 12, 13, 14, 15)
Using Boolean algebra simplify the following expression: ABCD + AB(CD) + (AB)CD
Obtain the truth table of the following function, and express each function in Sum-of-Minterms and Product-of-Maxterms form: (ab + c) (b+ ac)

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Q10/the minimum sum- of- products for the following function is F(A, Β,C, D, E) = Σm (0,3,5,7,9) + Σd ( 2,4,6,10,15)using Quine - McClusky method :