Jun 252 min read

How to Implement a Sequence Detector Using Mealy Finite State Machine in Digital Electronics

Sequence Detector for 1001 Sequence (Mealy FSM - Continued): -

Here's the completed state transition and output table for the 1001 sequence detector Mealy FSM:

Current State	Input (0)	Next State	Output
S0		S1	X
S1		S2	X
S2		S3	X
S3		S0	Detect
S0	1	S0	X
S1	1	S0	X
S2	1	S0	X
S3	1	S3	Detect

Explanation:

This Mealy FSM operates similarly to the previous example.
Transitions happen based on the current input (0 or 1).
The output "Detect" is generated only in state S3 and when the current input is 0.
Any other input (1) at any state or a 0 at S3 resets the FSM to S0.

Vending Machine FSM Design

Here's a basic FSM design for a vending machine:

States:

S0: Idle (no money inserted)
S1: Coin inserted (waiting for selection)
S2: Product selected (waiting for payment completion)
S3: Dispense product (dispense and return change if needed)
S4: Out of stock (display message and return money)

Inputs:

Coin inserted
Product button pressed
Change returned (internal signal)
Out of stock signal

Outputs:

Display message (idle, select product, out of stock)
Dispense product
Return coin/change

State Transition and Output Table:

Current State	Input	Next State	Output
S0	Coin inserted	S1	Display: Select product
S1	Product button	S2	Display: Confirm (show price)
S2	Coin inserted	S2 (check)	Check if enough money, display message
S2 (check)	Enough coins	S3	Dispense product, return change if needed
S2 (check)	Not enough	S1	Display: Insert more coins
S3	Change returned	S0	Display: Idle
S*	Out of stock	S4	Display: Out of stock, return money

Note: This is a simplified example. A real vending machine FSM would be more complex with additional states and outputs to handle various scenarios.

Odd Parity Detector FSM Design (Specification)

An odd parity detector FSM receives a stream of data bits and determines whether the total number of 1s (including the parity bit) is odd. This is used for error detection in data transmission.

States:

S0: Even parity (initial state) - expects an odd number of 1s in the data bits
S1: Odd parity - expects an even number of 1s in the data bits

Inputs:

Data bit (0 or 1)

Outputs:

Error (if received data parity doesn't match expected parity)

State Transition and Output Table:

Current State	Input (0)	Next State	Output
S0		S1	X
S1		S0	X
S*	1	(Depends)	Error (if S0)
S*	0	(Depends)	Error (if S1)

Explanation:

The FSM starts in S0 (even parity expected).
For each data bit received:
If the current state is S0 (even parity expected) and the data bit is 0, it stays in S0.
If the current state is S0 (even parity expected) and the data bit is 1, it transitions to S1 (odd parity expected).
Similar logic applies for S1 with opposite expected data bit values.
An error is only generated if the received data bit doesn't match the expected parity for the current state.