A sequential circuit has two inputs, w₁ and wê, and an output, z. Its function is to compare the input sequences on the two inputs. If w₁ = w₂ during any four consecutive clock cycles, the circuit produces z = 1; otherwise, z = 0. For example Derive a suitable circuit. w₁:0110111000110 w₂1110101000111 z: 0000100001110

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A sequential circuit has two inputs, \( w_1 \) and \( w_2 \), and an output, \( z \). Its function is to compare the input sequences on the two inputs. If \( w_1 = w_2 \) during any four consecutive clock cycles, the circuit produces \( z = 1 \); otherwise, \( z = 0 \). For example:

\[
\begin{align*}
w_1: & \ 011011000110 \\
w_2: & \ 111010000111 \\
z: & \ 000010001110 \\
\end{align*}
\]

Derive a suitable circuit.
Transcribed Image Text:A sequential circuit has two inputs, \( w_1 \) and \( w_2 \), and an output, \( z \). Its function is to compare the input sequences on the two inputs. If \( w_1 = w_2 \) during any four consecutive clock cycles, the circuit produces \( z = 1 \); otherwise, \( z = 0 \). For example: \[ \begin{align*} w_1: & \ 011011000110 \\ w_2: & \ 111010000111 \\ z: & \ 000010001110 \\ \end{align*} \] Derive a suitable circuit.
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