Question

Find the Boolean expression in the DNF form for the function defined in tabular form below:

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18 Feb 2025
Answer :
Word Count : 423
To solve the problem of finding the Boolean expression in Disjunctive Normal Form (DNF) for the function defined in the given truth table, we need to follow these steps: 1. Identify the Rows with Output 1: - From the truth table, identify all the rows where the output is `1`. 2. Write the Minterms for Each Row: - For each row where the output is `1`, write the corresponding minterm. A minterm is a product (AND) of all the variables in their true or complemented form, depending on whether the variable is `1` or `0` in that row. 3. Combine the Minterms with OR: - __________ ___ _________ ____ ___.
_______ ____ _____ ____ ___ ________.
___ _________ ____ __________ _______ ________ _________.
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_______ _____ __________ ____ _______ ___ _________ _______ ______ __________ ______.
____ ___ _______ _________ ____ _____ _____ ____ _________.
_______ _________ ______ __________ _________ _________ _____ _________.
_________ _______ ________ _________ _________.
____ _________ _______ _____ ________ ___ __________ ________ _________ ___.
___ _________ _________ ____ _________.
_________ _______ _____ ___ __________ __________ ________ _________ ______ _________ ____ _______.
____ ________ ________ ________ _____ ______ _________ _____ ________ _____ ____ __________.
______ ____ ____ _____ ___.
______ ____ _________ __________ ______ ______.
_________ ______ ___ _______ _____ _________ ____ ______.
__________ ________ ___ ___ _________.
________ _____ ____ _______ ___ ___ _________ ________ __________ _________ ______ _____.
______ ___ ___ ___ _____ ___ ____.
________ ______ ___ __________ ___ _____ _____ ________ __________ __________ ___ ___.
___ _______ _______ ________ ________ ___ ________ ______ ____.
_________ _________ _____ ________ _______ ______ ___ __________.
_______ ____ _____ __________ ________ __________ _________ __________ ________ ____.
______ ______ ___ ________ _________ ___ __________ __________ _____.
_____ ________ ________ ________ ________ ________ __________ ______ _________.
__________ ________ ____ ____ ______ _____ ______ _____.
_________ ___ ________ __________ ______.
______ ___ _____ _____ ____ ______ _________ _____ ________ _______ ___ _____.
________ ______ ________ _______ _____ _____.
_________ ___ ________ __________ _________ __________ ______.
_____ ________ ______ _________ _________.
_____ ______ ________ _____ _______.
_____ __________ __________ _______ ______ __________ ______ ______.
______ ___ _______ ______ _________ ______.
_________ _____ ____ _____ _______.
__________ _________ ____ ___ _____.
____ _________ _______ __________ _____ ____.
___ _____ ________ ________ __________ ____ ______ ________.
______ ____ ___ ________ _________ ________ ________ _______ __________ ___ ________.
____ _________ ____ ____ _____ _________ ________ _________ _________.
_____ ___ ______ _____ _____ ________ ___.
_________ ______ ___.
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