Solution Found!
Cover the answer to each problem with a sheet of paper and
Chapter 14, Problem 14.1(choose chapter or problem)
A clocked Mealy sequential circuit with one input (X) and one output (Z) is to be designed. The output is to be 0, unless the input is 0 following a sequence of exactly two 0 inputs followed by a 1 input.
To make sure you understand the problem statement, specify the output sequence for each of the following input sequences:
(a) X = 0010
Z = ____________
(b) X = . . . 10010 ( . . . means any input sequence not ending in 00)
Z = . . . ______________
(c) X = . . . 00010 Z = . . . ___________
(d) X = 00100100010
Z = ______________
(e) Does the circuit reset after a 1 output occurs?
Add arrows to the following graph so that the sequence X = 0010 gives the correct output (do not add another state).
Add a state to the preceding graph which corresponds to “three or more consecutive 0’s received.” Also complete the preceding table to indicate the sequence received which corresponds to each state.
Verify that this state graph gives the proper output sequences for the input sequences listed at the start of this exercise. Write down the Mealy state table which corresponds to the preceding graph.
Questions & Answers
QUESTION:
A clocked Mealy sequential circuit with one input (X) and one output (Z) is to be designed. The output is to be 0, unless the input is 0 following a sequence of exactly two 0 inputs followed by a 1 input.
To make sure you understand the problem statement, specify the output sequence for each of the following input sequences:
(a) X = 0010
Z = ____________
(b) X = . . . 10010 ( . . . means any input sequence not ending in 00)
Z = . . . ______________
(c) X = . . . 00010 Z = . . . ___________
(d) X = 00100100010
Z = ______________
(e) Does the circuit reset after a 1 output occurs?
Add arrows to the following graph so that the sequence X = 0010 gives the correct output (do not add another state).
Add a state to the preceding graph which corresponds to “three or more consecutive 0’s received.” Also complete the preceding table to indicate the sequence received which corresponds to each state.
Verify that this state graph gives the proper output sequences for the input sequences listed at the start of this exercise. Write down the Mealy state table which corresponds to the preceding graph.
ANSWER:Problem 14.1
A clocked Mealy sequential circuit with one input (X) and one output (Z ) is to be designed. The output is to be 0, unless the input is 0 following a sequence of exactly two 0 inputs followed by a 1 input.
To make sure you understand the problem statement, specify the output sequence for each of the following input sequences:
(a) X = 0010
Z = ____________
(b) X = . . . 10010 ( . . . means any input sequence not ending in 00)
Z = . . . ______________
(c) X = . . . 00010
Z = . . . ___________
(d) X = 00100100010
Z = ______________
(e) Does the circuit reset after a 1 output occurs?
Step By Step Solutions
Step 1 of 5
First let us look into the problem statement. So the given condition is:
- The output is to be 0, unless the input is 0 following a sequence of exactly two 0 inputs followed by a 1 input.
So first let’s find the value of ‘Z’ for all values of ‘X’.
(a) X = 0010
Z = 0001
(b) X = ...10010 ( . . . means any input sequence not ending in 00)
Z = ...00001
(c) X = ...00010
Z = ...00000
* Since there are three input 0’s in a row no 1 output occurs here.
(d) X = 00100100010
Z =00010010000
(e) No, the circuit will not reset after 1 output occured.