Suppose we want to design a synchronous circuit that processes a string of 0’s and 1’s. Given a string, it produces another string by replacing the first 1 in any subsequence of consecutive 1’s by a 0. Consider the following example.Input sequence: 00100011000011100Output sequence: 00000001000001100A Mealy Machine is a state machine where both the next state and the output are functions of the present state and the current input.The above mentioned circuit can be designed as a two-state Mealy machine. The states in the Mealy machine can be represented using Boolean values 0 and 1. We denote the current state, the next state, the next incoming bit, and the output bit of the Mealy machine by the variables s, t, b and y respectively.Assume the initial state of the Mealy machine is 0.What are the Boolean expressions corresponding to t and y in terms of s and b ?

• A. t = by = sb
• B. t = s + by = sb
• C. t = s + by = sb̅
• D. t = by = sb̅