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    Karnaugh Map reduction for D Type Asynchronous counter design

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    Q4 A three-stage type D counter circuit is required to produce the waveforms below (see Question4 attachment).

    A skeletal form of the counter circuit is given in the PSpice schematic* (Question4PSpiceschematic attachment), along with the associated truth table (Question4TruthTable attachment). The outputs of the circuit are A, B and C and they are generated by the counter outputs Q1, Q2 and Q3.

    a) Derive the relationship [a Boolean expression] between each output and the inputs [by, for example, plotting a Karnaugh map for each output].

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    I have drawn a Karnaugh map for output A. Note when drawing Karnaugh Maps you need to make sure that you label adjacent cells so that they only differ in changing one digit at a time, so for instance if you look at the vertical column axis for D1D2 it is labelled 00, 01, 11, 10 (note each cell in this sequence ...

    Solution Summary

    Karnaugh Map Boolean logic reduction is used to derive minimized logic for an Asynchronous Counter built from D Type Flip Flops