1. Prove the following using Boolean Algebra XY + XY + XY -X+Y ÄB + BC + AB + BC - 1 Y+ XZ + XỸ = X +Y +Z XY + VZ + XZ + XY + Y2 = XY + xZ + Y2 ABC + BČD + BC + CD = B + ČD 2. Simplify to minimum number of literals s AC + ÄBC + BC ABC + AC WX(Z + VZ) + X(W + WYZ) (AB + AB)(CD + CD) + AC + CD)-

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Digital logic design
Assignment 01
EE241- DIGITAL LOGIC DESIGN
TOPIC: BOOLEAN ALGEBRA
DEADUNE: 19" MAR 2021 (submit via MS Teams Assignment Portal)
Points: 10
1. Prove the following using Boolean Algebra
XY + XY + XY = X +Y
ÄB + BC + AB + BC = 1
Y+ iZ + Xĩ = x +Y+Z
XY + YZ + XZ + XY + Y2 = XY + xZ + ¥2
ABC + BCD + BC + TD = B+ ČD
2. Simplify to minimum number of literals
AC + ĀBC + BC
ABC + AC
Wx(7 +¥Z) + X(W + WYZ)
(AB + AB)(CD + CD) + AC
Transcribed Image Text:Assignment 01 EE241- DIGITAL LOGIC DESIGN TOPIC: BOOLEAN ALGEBRA DEADUNE: 19" MAR 2021 (submit via MS Teams Assignment Portal) Points: 10 1. Prove the following using Boolean Algebra XY + XY + XY = X +Y ÄB + BC + AB + BC = 1 Y+ iZ + Xĩ = x +Y+Z XY + YZ + XZ + XY + Y2 = XY + xZ + ¥2 ABC + BCD + BC + TD = B+ ČD 2. Simplify to minimum number of literals AC + ĀBC + BC ABC + AC Wx(7 +¥Z) + X(W + WYZ) (AB + AB)(CD + CD) + AC
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