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9. Simple state machines A communications application requires two sequences of binary numbers to be generated. The two sequences are: Sequence A: 0, 1, 2, 3 Sequence B: 0, 3, 1, 2 An external input called 'C' selects which sequence is to be generated: C-0 should be sequence A and C#1 should give sequence B. a) Design a digital circuit for realising the sequencer using two positive-edge triggered D-type flip-flops. b) Draw a typical circuit for an alternative ROM-based design. c) Tabulate the data entries recorded in the addressable space of the ROM.

Answer 1

First of all we will make state table. In which we will define present state and Next state. For sequence A if p.s.(present state) is 1(01) then next state will be 2(10). And when p.s. is 3(11) then n.s. will be again 0(00). Like that we will make our state table then using excitation table of D flip flop we will find the state of flip flop. Then using k-map we will find the equation for input of D flip flop. Then using gate and flip flop we will make circuit diagram. Let's solve the problem:

Seauence A: o,1, 2,3 Sequence2: 0, 2,\,2 for Ceo → Sequence A- Cz1. → Sequence B Flip flop Next state Prepent 8tae

a Circuit 3^. CMse) ⑥ ROM-based Circuit: GX2) ROM 苷 Do