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A sequential circuit with two flip flops, A and B; one input, x; and one output...

A sequential circuit with two flip flops, A and B; one input, x; and one output y, is specified  by the following next-state and output equations:

B(t+1) = AX

A(t+1) = A’B + BX’ + AB’X

y = A’X’ + B’

a)      List the circuit state table and draw the corresponding state diagram

b)      Draw the logic diagram of the circuit using only, one D-type and one T-type flip flops, one 2X4 decoder and one 2-input OR gate. The complement of the input variable, x is not available.

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