Design a circuit with $1$ input $x$ and $4$ outputs A$,$B$,$C$,$D$.$ An external source feeds $x,1$ bit per clock cycle, when $x=1,$ the outputs remain no change; other wise they repeat the binary sequence $1,2,3,4,8,14$ one at a time.

Design a circuit with $1$ input $x$ and $5$ outputs A$,$B$,$C$,$D$,$E$.$ An external source feeds $x,1$ bit per clock cycle, when $x=1,$ the outputs remain no change; other wise they repeat the binary sequence $0,2,4,8,14,24,28,19,21,23$ one at a time.

Let us have a system with the following state transition graph with x as input and $A,B,$ as outputs and following T flipflop truth table. Assume, Y$=$A $+$ B $+$ x $.$ Find the state transition table with current and new states, $T_A$ and $T_B,x$ and Y What is the Boolean function of $T_A$ and $T_B$ assuming they are functions of current states.

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