Consider a sequential circuit which receives a one 1-bit signal x {0, 1} and outputs a one 1-bit signal zee {0, 1} at each time t = 1, 2, ... in synchronization with a clock. In this sequential circuit, the binary value (22+-1 ... 23 22 21)2 corresponding to the output sequence at each time t is the 2's complement of the binary value (x+ Xt1 ... X3 X2 X)2 corresponding to the input sequence. Let AND, OR, Exclusive OR, and NOT Boolean operators be denoted by :, +, 0, and , respectively. Answer the following questions. (1) Show the output sequence 262524232221 corresponding to the input sequence X6 X5X4X3X2X1 = 011001. (2) Show Zt as logical expression in terms of Xt, Xt-1, ..., X1. (3) Draw a Mealy type state-transition diagram of the sequential circuit with as few states as possible. (4) Draw a Moore type state-transition diagram of the sequential circuit with as few states as possible. (5) Show the excitation equations (state equations) and output equation of the sequential circuit using logical expressions in the minimum sum-of-products form. Let x and z be the input signal and the output signal, respectively. Let y;E {0, 1} and Y; {0, 1}, j = 1, 2, ..., be state signals representing the current state and the state signals representing the next state, respectively. (6) Draw a circuit diagram of the sequential circuit with as few JK flip-flops and 2-input NAND gates as possible