A sequential circuit has one input (X) and two outputs (Z 1 and Z 2 ) An output Z 1 1 occurs every time the input sequence 010 is completed provided that the sequence 100 has never occurred An output Z 2 1 occurs every time the input sequence 100 is completed Once a Z 2 1 output has occurred, Z 1 1 can never occur, but not vice versa (a) Derive a Mealy state graph and table with a minimum number of states (eight states) (b) Try to choose a good state assignment Realize the circuit using J K flip flops and NAND gates Repeat using NOR gates

Question: A sequential circuit has one input (X) and two outputs (Z 1 and Z 2 ). An output Z 1 = 1 occurs every time

A sequential circuit has one input (X) and two outputs (Z₁ and Z₂). An output Z₁ = 1 occurs every time the input sequence 010 is completed provided that the sequence
100 has never occurred. An output Z₂ = 1 occurs every time the input sequence 100 is completed. Once a Z₂ = 1 output has occurred, Z₁ = 1 can never occur, but not vice versa.
(a) Derive a Mealy state graph and table with a minimum number of states (eight states).
(b) Try to choose a good state assignment. Realize the circuit using J-K flip-flops and NAND gates. Repeat using NOR gates.

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