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The following state diagram represents which of the input equation. (Given : DA = [A, x, y]) (Where DA denotes a DFF with output A. The x and y are the inputs to the circuit)

The following state diagram represents which of the input equation. (Given : DA = [A, x, y]) (Where DA denotes a DFF with output A. The x and y are the inputs to the circuit) Correct Answer D<sub>A</sub> = A ⊕ x + y

DA → DA denotes DA – flip flop with output x, y are inputs.

Present state

Input

Next State

A

x

y

A+

0

0

0

0

0

0

1

1

0

1

0

1

0

1

1

1

1

0

0

1

1

0

1

1

1

1

0

0

1

1

1

1
[ alt="F1 S.B 13.8.20 Pallavi D 13" src="//storage.googleapis.com/tb-img/production/20/09/F1_S.B_13.8.20_Pallavi_D%2013.png" style="width: 231px; height: 158px;">
[ alt="F1 S.B 13.8.20 Pallavi D 14" src="//storage.googleapis.com/tb-img/production/20/09/F1_S.B_13.8.20_Pallavi_D%2014.png" style="width: 217px; height: 111px;">

When A = 0: xy = 0 0 → A+ = 0

0 1 → A+ = 1

1 0 → A+ = 1

1 1 → A+ = 1

When A = 1   xy = 0 0 → 1

0 1 →  1

0 1 → 1

1 0 → 0

1 1 → 1

A+ = y + Ax̅ + A̅x

DA = A+ = y + A ⊕ x = A ⊕ x + y

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