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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