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Consider the Karnaugh map given below. Where X represents “don’t care” and blank represents 0.

Assume for all inputs (a, b, c, d), the respective complements (a̅, b̅, c̅, d̅) are also available. The above logic is implemented using 2-input NOR gates only. The minimum number of gates required is ________.
    Correct answer is '1'. Can you explain this answer?
    Most Upvoted Answer
    Consider the Karnaugh map given below. Where X represents “don&r...
    Concept:
    Draw the K- map, convert the K-map into a SOP (sum of product) or POS (product of sum) form. While reducing the K-map in these forms, a don’t care will be needed only when with the use of don’t cares we can reduce the term size.
    Diagram: K – Map

    From the K-map simplification:
    F(a, b, c, d) = a̅.c
    Diagram:

    Therefore, only one NOR gate is needed to implement the minimized function
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    Consider the Karnaugh map given below. Where X represents “don&r...
    Concept:
    Draw the K- map, convert the K-map into a SOP (sum of product) or POS (product of sum) form. While reducing the K-map in these forms, a don’t care will be needed only when with the use of don’t cares we can reduce the term size.
    Diagram: K – Map

    From the K-map simplification:
    F(a, b, c, d) = a̅.c
    Diagram:

    Therefore, only one NOR gate is needed to implement the minimized function
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    Consider the Karnaugh map given below. Where X represents “don’t care” and blank represents 0.Assume for all inputs (a, b, c, d), the respective complements (a, b, c, d) are also available. The above logic is implemented using 2-input NOR gates only. The minimum number of gates required is ________.Correct answer is '1'. Can you explain this answer?
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