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  1. The counter shown in figure is built using 4 negative edge triggered toggle FFs. The FFs can be set synchronously when R = 0. The combinational logic required to realize a modulo 13 counter is

    2. A.
    F= Q4 Q3 Q2 Q1
    B.
    F= Q4 + Q3 + Q2 + Q1
    C.
    F = Q4 + Q3 + Q2 + Q1
    D.
    F = Q4 Q3 Q2 Q1

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    Answer : Option B

    Explanation :

    According to figure, output of combinational logic is applied to R of all FF

    N = 13 = (1101)2

    The logic required is Q4 Q3 Q2 Q1 The gate used is a NAND.

    Y = Q4 + Q3 + Q2 + Q1 .

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