Question: F. F(x, y, 2) = x'y+ xyz' + xyz = y g. G(w, x, y, z) = (xy'+ wz)(.. Using the postulates of Boolean algebra, prove the following formulas (please specify each steps) f. F(r,y. :) = a'y +ry:' + ryz = tu g. Gie, r, y. =) = (zy + u':)(wr' + yz') =0 h. H(x, ) = (r + )(r+y')' = ry i. I(A, B,C. D) = ABC + A'C'D+ AB'C + BC'D+A'D = AC" + A'D j. J(z. y, 2) = ry:'+a'y':+ayz + ry: +ay: = ay + 2 k. K[X,Y, Z) = X'Y'+ Y'Z+ XZ + XY +Y Z' X'Y'+ XZ+YZ' 1. L(A, B, C, D) = ((A'+ By + A'B')(C'D+ CD) + (ACY = A' +C + BD %3!

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
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Question: F. F(x, y, 2) = x'y+ xyz' + xyz = y g. G(w, x, y, z) = (xy'+ wz)(.
Using the postulates of Boolean algebra,
prove the following formulas
(please specify each steps)
f. F(r,y. :) =a'y + ry:' + ryz = tu
g. Gie, r, y. =) = (zy + u':)(wx' + y:') = 0
h. H(r, ) = (r + )( +y')' = ry
i. I(A, B,C. D) = ABC + A'C'D+ AB'C + BC'D+A'D = AC" + A'D
j. J(z, y, 2) = r'y:'+a'y': +ay: +ry: +ay: = y + 2
k. K[X,Y, Z) = X'Y'+ Y'Z + XZ + XY +Y Z' X'Y'+ XZ+YZ'
1. L(A, B, C. D) = ((A'+ By + A'B')(CD+ CD) + (ACY = A'+C" + BD
%3!
Transcribed Image Text:Question: F. F(x, y, 2) = x'y+ xyz' + xyz = y g. G(w, x, y, z) = (xy'+ wz)(. Using the postulates of Boolean algebra, prove the following formulas (please specify each steps) f. F(r,y. :) =a'y + ry:' + ryz = tu g. Gie, r, y. =) = (zy + u':)(wx' + y:') = 0 h. H(r, ) = (r + )( +y')' = ry i. I(A, B,C. D) = ABC + A'C'D+ AB'C + BC'D+A'D = AC" + A'D j. J(z, y, 2) = r'y:'+a'y': +ay: +ry: +ay: = y + 2 k. K[X,Y, Z) = X'Y'+ Y'Z + XZ + XY +Y Z' X'Y'+ XZ+YZ' 1. L(A, B, C. D) = ((A'+ By + A'B')(CD+ CD) + (ACY = A'+C" + BD %3!
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