(Solved): An iterative circuit has a form similar to the figure below. The output \( Z \) is to be 1 if the ...

An iterative circuit has a form similar to the figure below. The output \( Z \) is to be 1 if the total number of \( X \) inputs hat are 1 is an odd number greater than 2. Derive a NAND-gate circuit for a typical cell. a. \( a_{i}+1=a_{i}^{\prime}+x_{i}^{\prime} a_{i}, b_{i}+1=b_{i}{ }^{\prime}+x_{i} a_{i}, z=a_{n}+1 b_{n+1} \) b. \( a_{i}+1=x_{i} a_{i}{ }^{\prime}+x_{i}{ }^{\prime} a_{i}, b_{i}+1=b_{i}+x_{i} a_{i}, z=a_{n}+1 b_{n}+1 \). c. \( A_{i+1}=x_{i} a_{i}{ }^{\prime}+a_{i}, b_{i+1}=b_{i}{ }^{\prime}+x_{i} b_{i}, z=a_{n+1} b_{n+1} \). d. \( a_{i+1}=x_{i} a_{i}^{\prime}+x_{i}^{\prime} a_{i}, b_{i+1}=x_{i} b_{i}+x_{i} a_{i}, z=a_{n+1} b_{n+1} \)