3. Simplify the following Boolean expression: а. (х + у) z' + y(x'+2') b. x'z (xy + y'z' + yz) с. у (x' + yz) d. (y + z')' (x' + y)'

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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4. Using the truth table, prove the following expression:
a. (x + y z)' + y' (x y + z) = x' y' +x' z' + y'z
b. (yz' + x'z)' = xy' + xz + y'z'
Transcribed Image Text:4. Using the truth table, prove the following expression: a. (x + y z)' + y' (x y + z) = x' y' +x' z' + y'z b. (yz' + x'z)' = xy' + xz + y'z'
3. Simplify the following Boolean expression:
a. (x + y) z' + y(x' + z')
b. x'z (xy + y'z' + yz)
с. у (xz' + y2)
d. (y + z') (x' + y)"
Transcribed Image Text:3. Simplify the following Boolean expression: a. (x + y) z' + y(x' + z') b. x'z (xy + y'z' + yz) с. у (xz' + y2) d. (y + z') (x' + y)"
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