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Question $15$

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When $x=0,$ the state of the circuit remains the same. When $x=1,$ the circuit goes through the state transitions from $00$ to $01,$ to $11,$ to $10,$ back to $00,$ and repeats. Use D flip$-$flops.

a$.Da=Bx$ and $Db=Ax$

b$.Da=A{x}^{\text{'}}+Bx$ and $Db=B{x}^{\text{'}}+A^{\text{'}}x$

c$.Da=Ax+B{x}^{\text{'}}$ and $Db=B{x}^{\text{'}}+Ax$

d$.Da=Ax$ and $Db=Bx$