Present State Next State Output x=0 r = 1 x=0 x= | YY YY = = A A B 0 0 B D C 0 Fig. 3 C F E 0 0 D D F 0 E B G 0 F G C 1 G A F 0
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- Find the solution for the state-space system given by 0 1 x(t) = _-3x) using the system modal expansion method. -2 -3 x(t) with x(0) = -HDraw the Moore and Mealy State Diagram of a Finite State Machine thatfunctions as a Binary Sequence Detector for the following sequence:a. 01011b. 1011 and/or 0100Obtain the State Table for each of your diagrams.Q2: In a dielectric material (ɛ = 5ɛ, ), the potential field V= 10xyz - 5z? V, determine (a) E, (b) D, (c) P, (d) P.
- For the Boolean function F1(AB,C,D)=Em(0,2,4,6,7,8,10,12,14,15)+d(3,11) do the following: a) Draw a truth table. b) Find minimal SOP expression for Boolean function F1 using K-map. c) Draw a circuit diagram.Task: Draw the State Diagram for the Moore Sequence Detector FSM. How many states have the New State diagram? Given VHDL Code for the Moore Sequence Detector FSM: LIBRARY ieee;USE ieee.std logic 1164.all; ENTITY Seq_Detector_Moore ISPORT ( Clock : IN STD_LOGIC ;Resetn : IN STD _LOGIC ;w : IN STD_LOGIC ;z : OUT STD _LOGIC ) ;END Seq_Detector_Moore; ARCHITECTURE Behavior OF Seq_Detector_Moore ISTYPE state _type IS ( A, B, C) ;SIGNAL current _state, next _state : state _type;BEGIN --next state decoderProcess (current_state, w)BEGINCASE current_state IS WHEN A =>IF w = ’1’ THEN next _state <= A ;ELSE next _state <= B ;END IF ; WHEN B =>IF w = ’1’ THEN next _state <= A ;ELSE next _state <= C ;END IF ; WHEN C =>IF w = ’1’ THEN next _state <= A ;ELSE next _state <= C ;END IF ; WHEN OTHERS =>next_state<= A ; -- go back to the initial stateEND CASEEND PROCESS ; --state memory (FFs)PROCESS ( Clock, Resetn )BEGINIF Resetn = ’1’ THENcurrent_state <=…2. Write down the transition function values for each state and symbol for the DFA in question 1(a) and Draw the transition table for the DFA b. L2 : { x ϵ {a, h, s, t}* | x has strings “that”, “hat” and “hats” only}
- Simplify the expression using Boolean algebra theorem and postulates: F=(X+Z')(Z+WY)'+(VZ+WX')(Y+Z)'.Simplify the Boolean function F(w,x,y,z) = (0,1,2,4,5,6,8,9,12,13,14)Q: Determine the minimum states of the finite-state machine described by the state table in Fig. 1 ( use Implication Chart method only) Present Next State Output (Z) State Input (X) Input (X) 1 1 1 8. 3 2 8. 3 8 4 1 8 1 5 4 6 4 2 1 4 1 8 1
- Simplify the Boolean function F (w, x, y, z)=Σ(0, 1, 3, 8, 9, 10, 11, 12, 13, 14, 15).Convert the given finite state machine to a regular expression using the state elimination technique, starting with eliminating (a) state 1 first and (b) state 2 first. The green-outlined state is the accepted state. Show all steps.1. Given a dynamics G with the transfer function: 5s-4s2 +3s G(s) = s' +5s +4s (a) Find an analog computer to implement this dynamics to guarantee internal stability, which contains a feedback loop of the input and internal state. (b) Find another analog computer such that the output and internal state forms a feedback loop inside. (c) Infer the state-state realizations from the circuits of (a) and (b), respectively. (d) Based on the state-space realization in (c), describe how to program the dynamics G into a digital microcontroller. (e) Can the principle of convolution be directly applied to do (d)? Why or why not?