Derive the state equation of the given sequential circuit, and choose the

correct answer:

$A(t+1)=A{B}^{\text{'}}+A^{\text{'}}B,B(t+1)=B{x}^{\text{'}}+B^{\text{'}}x+A^{\text{'}}B$

$A(t+1)=x^{\text{'}}+A{B}^{\text{'}}+A^{\text{'}}B,B(t+1)=B^{\text{'}}x+A^{\text{'}}B{x}^{\text{'}}$

$A(t+1)=x^{\text{'}}+A{B}^{\text{'}}+A^{\text{'}}B,B(t+1)=B{x}^{\text{'}}+B^{\text{'}}x+A^{\text{'}}B$

The simplification of the following function

$F=A^{\text{'}}{B}^{\text{'}}{D}^{\text{'}}+A^{\text{'}}B{C}^{\text{'}}+B^{\text{'}}C{D}^{\text{'}}+A^{\text{'}}BC{D}^{\text{'}}+$ABD$+B^{\text{'}}{C}^{\text{'}}{D}^{\text{'}}+A^{\text{'}}BCD$

$A^{\text{'}}{D}^{\text{'}}+B^{\text{'}}{D}^{\text{'}}+A^{\text{'}}{C}^{\text{'}}+$ABD

$A^{\text{'}}{B}^{\text{'}}+B^{\text{'}}{D}^{\text{'}}+A^{\text{'}}{C}^{\text{'}}+AB{D}^{\text{'}}$

$A^{\text{'}}{D}^{\text{'}}+B^{\text{'}}{D}^{\text{'}}+A^{\text{'}}B+$ABD