"next state" eqn from the karnaugh map of a present state?

Thread starter teng125
Start date Jan 31, 2006
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In summary, a "next state" equation is a logical expression derived from a Karnaugh map that determines the output state of a sequential circuit based on its present state. It is derived by grouping adjacent squares representing minterms with the same output state and is important for designing and analyzing sequential circuits. While a Karnaugh map can be used for any sequential circuit, it may become complex and difficult to interpret for larger circuits with many input variables.

Jan 31, 2006

teng125

does anyone knows how to find out the "next state" eqn from the karnaugh map of a present state??

pls help...

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Jan 31, 2006

Astronuc

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2023 Award

Have you looked in here - https://www.physicsforums.com/showthread.php?t=100628.

Take a look and contact the author if you do not find what you are looking for.

Jan 31, 2006

berkeman

Mentor

Wow, thanks Astro! Cool thread by Kenneth.

1. What is a "next state" equation from a Karnaugh map of a present state?

A "next state" equation is a logical expression that is used to determine the output state of a sequential circuit based on its present state. It is derived from a Karnaugh map, which is a graphical method for simplifying Boolean expressions.

2. How is a "next state" equation derived from a Karnaugh map of a present state?

A "next state" equation is derived by grouping adjacent squares in a Karnaugh map that represent minterms with the same output state. These groups are then combined to form a simplified logical expression for the next state of the circuit.

3. What is the purpose of a "next state" equation in a sequential circuit?

The purpose of a "next state" equation is to determine the output state of a sequential circuit based on its present state. This is important in designing and analyzing sequential circuits, as it allows for the prediction and control of the circuit's behavior.

4. Can a Karnaugh map be used to derive a "next state" equation for any sequential circuit?

Yes, a Karnaugh map can be used to derive a "next state" equation for any sequential circuit, as long as the circuit can be represented by Boolean expressions and has a defined present state and output state.

5. Are there any limitations to using a Karnaugh map to derive a "next state" equation?

One limitation of using a Karnaugh map to derive a "next state" equation is that it can become complex and difficult to interpret for larger circuits with many input variables. In these cases, other methods such as state tables may be more suitable for deriving the next state equation.