Question
Construct logic circuites for the following Boolean expressions:
i) (x+yz) + (yz)' + (z'y)
ii) ( x'y) (xz') (y'z) + xyz
Answer :
Word Count : 301
For the first Boolean expression, ((x + yz) + (yz)' + (z'y)), we can simplify and construct the logic circuit step by step. 1. Identify terms: * (x + yz) → OR gate with inputs (x) and (yz). (yz) itself needs an AND gate. * ((yz)') → AND gate for (y) and (z), followed by a NOT gate. * (z'y) → NOT gate for (z), then AND with (y). 2. Combine using OR gates: ((x ____ ____ ___ ______ _____ ____.
_____ _____ ____ _____ ___ _______.
_____ ________ _____ ____ _____ __________ _____.
_______ __________ ______ ______ _________ __________ _______ ________ ________ _____.
__________ _____ _______ _____ ______ ____.
______ _______ _________ ______ _______ ___ ____ ____ _____ _________ _____ __________.
_____ ________ _____ ____ ______ ____ ___ _______.
_________ ____ _________ _______ ______ ______.
_____ _______ __________ _________ _____ ________ ____.
____ _____ _____ _______ ______ _____ _____ ________ ________ _________ _____ __________.
_______ ____ ________ _______ ______.
________ __________ ________ _____ _______ ______ _________ _________.
_________ ________ _______ _________ ________.
_______ ______ ________ __________ _________ ______ ________.
____ ______ ________ ________ _____ __________.
_____ _______ ___ _____ ___.
_________ ________ ________ _________ ____.
____ _______ _____ _____ ________ _____ ________ ___ ___ __________.
______ ________ __________ __________ ________ _____ ________ _______ ______ __________ _____ _________.
___ _________ _________ _________ _______ ____ ___ ________.
______ ______ _______ _________ ____ ___ __________ _________ ____ _______ _______.
___ _______ __________ ______ _____ __________ __________.
______ ______ ______ __________ _______ __________.
_________ ________ ________ _______ _________ __________ _________ ______ _____ _______ _______.
_____ _________ __________ _________ __________ ____ __________ _____ _________ _______ ________.
____ ____ __________ ________ _________ ___ _____ ___ _________.
___ _______ ________ ____ ______ _____ __________.
________ ___ _____ _______ _______ _____ _____ __________.
____ __________ __________ _____ ____.
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For the first Boolean expression, ((x + yz) + (yz)' + (z'y)), we can simplify and construct the logic circuit step by step. 1. Identify terms: * (x + yz) → OR gate with inputs (x) and (yz). (yz) itself needs an AND gate. * ((yz)') → AND gate for (y) and (z), followed by a NOT gate. * (z'y) → NOT gate for (z), then AND with (y). 2. Combine using OR gates: ((x ____ ____ ___ ______ _____ ____.
_____ _____ ____ _____ ___ _______.
_____ ________ _____ ____ _____ __________ _____.
_______ __________ ______ ______ _________ __________ _______ ________ ________ _____.
__________ _____ _______ _____ ______ ____.
______ _______ _________ ______ _______ ___ ____ ____ _____ _________ _____ __________.
_____ ________ _____ ____ ______ ____ ___ _______.
_________ ____ _________ _______ ______ ______.
_____ _______ __________ _________ _____ ________ ____.
____ _____ _____ _______ ______ _____ _____ ________ ________ _________ _____ __________.
_______ ____ ________ _______ ______.
________ __________ ________ _____ _______ ______ _________ _________.
_________ ________ _______ _________ ________.
_______ ______ ________ __________ _________ ______ ________.
____ ______ ________ ________ _____ __________.
_____ _______ ___ _____ ___.
_________ ________ ________ _________ ____.
____ _______ _____ _____ ________ _____ ________ ___ ___ __________.
______ ________ __________ __________ ________ _____ ________ _______ ______ __________ _____ _________.
___ _________ _________ _________ _______ ____ ___ ________.
______ ______ _______ _________ ____ ___ __________ _________ ____ _______ _______.
___ _______ __________ ______ _____ __________ __________.
______ ______ ______ __________ _______ __________.
_________ ________ ________ _______ _________ __________ _________ ______ _____ _______ _______.
_____ _________ __________ _________ __________ ____ __________ _____ _________ _______ ________.
____ ____ __________ ________ _________ ___ _____ ___ _________.
___ _______ ________ ____ ______ _____ __________.
________ ___ _____ _______ _______ _____ _____ __________.
____ __________ __________ _____ ____.
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