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    Logic Circuits for Boolean Expressions

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    1. Using Boolean algebra, reduce the following Boolean expression to its simplest form and implement it using your method of choice.

    F = A'B'D + ABC' + AB'CD + BC + A'CD + BCD

    2. Using a Karnaugh map (K-map), reduce the following Boolean to its simplest form and implement it using SOP (Sum of Products)

    F = B'C'D + B'D + ABC + BC'D' +ABD' + A'B'D

    3. Using a Karnaugh map (K-map), reduce the following Boolean to its simplest form and implement it using POS (Products of Sum)

    F(A, B, C, D) = ∑(0,2,3,5,7,8,9,10,11,13,15)

    Show karnaugh map steps and details.

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    https://brainmass.com/math/boolean-algebra/logic-circuits-boolean-expressions-270115

    Solution Preview

    Please see attached for the full solution to the given problems.

    1. Using Boolean algebra, reduce the following Boolean expression to its simplest form and implement it using your method of choice.

    F = A'B'D + ABC' + AB'CD + BC + A'CD + BCD
    Solution: We first group the terms with common logic:
    F = A'B'D + B(AC'+C) + CD(AB'+A') + BCD
    Then we apply Boolean algebra laws to simplify the highlighted terms:
    F = A'B'D + B(A+C) + CD(A+B') + BCD
    Then ...

    Solution Summary

    This posting contains answers to the logic circuits for Boolean expressions.

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