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Truth table for circuit diagram

1. a) Draw the truth table for the circuit shown below.
b) Show an extrusion of this circuit that realizes a DFF.

(see attached file for diagram)

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Solution Preview

Please see the attached file.

First we need to recall the truth table f the SRFF:

S R Qn+1
0 0 Qn
0 1 0
1 0 1
1 1 N/A

Note that Qn+1 follows the input S except when S=R. When S=R=0 the ouput is unchanged, while if S=R=1 the input settles in an undetermined state.

Now we write the functions for S and R:

It is obvious that when Φ=0, both S and R are kept at zero, hence there is ...

Solution Summary

This solution provides detailed explanations with diagrams for various questions regarding circuits.