The counter of Fig. 6.14 has two control inputs— Load ( L ) and Count ( C )—and a data i...

The counter of Fig. 6.14 has two control inputs— Load ( L ) and Count ( C )—and a data input, ( I i ).

(a) Derive the flip-flop input equations for J and K of the first stage in terms of L, C, and I.

(b) The logic diagram of the first stage of an equivalent circuit is shown in Fig. P6.21 .

Verify that this circuit is equivalent to the one in (a).