1)
Construct FSM for the following scenarios.
Input: non empty binary sequence
I) output:
Should end in a final state if the input stream has a 1. So your
automaton should mimic OR
operation.
ii) output:
Should end in a final state only if the input stream has only a
sequence of 1 and no 0. So
your automaton should mimic AND operation.
2)
Write a regular expression for the following language:
L = {w ϵ {0, 1}* | w contains an equal number of occurrences of the
substring 01 and 10}
(Eg. 010 ϵ L because 010 contains a single 01 and a single 10 as
substrings; but 01101
doesn’t belong to L because 01101 contains two 01 s and one 10.
1) Construct FSM for the following scenarios. Input: non empty binary sequence I) output: Should end...
Consider an FSM with one input I and three outputs x, y, and z. xyz should always exhibit the following sequence: 000, 001, 010, 100, repeat while I- 1. The output should change only on a rising clock edge. Make 000 the initial state. When I-0, the sequence should stop, holding the last value of xyz, when l #1 again, the sequence is to start over from 000 a. Draw a state diagram for the FSM b. Write the VHDL...
Design a Moore FSM to detect an input sequence of X: 010, the output will be 1. input: 0001010100101.. output: 0000101010010.. a. Draw the state diagram of your design [5 marks] b. Using the binary number as the state assignment, deduce the next state equation of your design. [10 marks] c. Deduce the logic equations of the next state decoder and output decoder with T flop flip as storage elements. [10 marks]
1. FSM design. Design a clocked synchronous state machine with one input X, and an output Z. Z is 1 if 010 sequence pattern has occurred in the input X Otherwise, the output should be 0 For solution: a) Draw the state diagram. b) Write the state/output table. xcitation eqations and output equatio You do not have to draw the circuit diagram. Hint: Three states are needed (two D flip-flops) A: initial state waiting for a 0' from X B:...
Develop a single input and single output Moore-type FSM that produces an output of 1 if in the input sequence it detects either 110 or 101 patterns. Overlapping sequence should be detected.
ANSWER ONLY QUESTION #3!!!!!
2) (10 points) A moore FSM has a single infinitely long binary string r as input and a single output. The output is a logic 1 if the input changes from 0 to 1 or 1 to 0 For example, output is r-00101110 001110001 Design the FSM. Use full encoding. Construct a timing diagram for the input sequence shown above. Be sure and do an implication table check 3) (5 points) Show the schematic of a...
Hi Please show steps with clean handwriting. 2) (10 points) A moore FSM has a single infinitely long binary string r as input and a single output. The output is a logic 1 if there are two consecutive 1s or two consecutive 0s received. For example, input = 0 1 1 0 0 0 1 output = 0 0 1 0 1 1 0 Design the FSM. Use full encoding. Construct a timing diagram for the input sequence shown above....
Design a Mealy FSM which functions as a sequence detector, generating two outputs y, z in the following way: a) The signal is applied sequentially to a single input line x. b) Initially both outputs y, z are set to 0. c) Output y is set to 1 when the sequence "10" has been applied to the input x; it should then be reset to 0 and the circuit should continue detecting next occurrence of "10". d) Output z is...
QUESTION 1 The following dice roll FSM is operated at a frequency of 1MHz, and features a single with a single push-button input, b. Because human response time is much larger than the lus period of the system clock, any human press will result in b going high for a pseudo-random number of cycles. Since this FSM rapidly switches state when b=1, after the button is released the FSM will stop in a pseudo-random state. Side 1 Side 2 Side...
Any answer that involves a design for a Finite Automaton (DFA or NFA) should contain information about the following five components of the FA (corresponding to the 5-tuple description): i) The set of states Q; ii) the alphabet Σ; iii) the start state; iv) the set of final states F; v) the set of transitions δ, which can be either shown in the form of a state diagram (preferred) or a transition table. You can either present the answer in...
Name: (4) (10 pts) Design a Moore FSM that has one input A and one output Y, and the output Y should be 1 if A has been 101 during the most recent three consecutive clock cycles or A has been 1 during the two most recent consecutive clock cycles. You only need to write down your state transition diagram. (5) (6 pts) Consider the following sequential circuit. Each two-input OR gate has a propagation delay of 130ps and a...