#### Mat385 Finite State Machine (Binary Adder)

##### Andrew E Long

**The Binary Adder:**

Andy LongSpring, 2020 - Year of Covid-19

Having constructed a working example of a finite state machine (FSM), from Gersting's 7th edition (p. 730, Example 29), I decided to create a more useful one -- a binary adder (p. 732). It works!

**Subject to these rules**:

- Your two binary numbers should start off the same length -- pad with zeros if necessary. Call this length L.
- Now pad your two binary numbers with
**three**extra 0s at the end; this lets the binary-to-decimal conversion execute. - numbers are entered from ones place (left to right).
- In Settings, choose "simulation start" as 1, your "simulation length" as L+2 -- two more than the length of your initial input number vectors. (I wish that the Settings issues could be set without having to explicitly change it each time -- maybe it can, but
**I don't know how**.)

To understand why we need three additional inputs of 0s:

- For the useless first piece of output -- so n -> n+1
- For the possibility of adding two binary numbers and ending up with an additional place we need to force out: 111 + 111 = 0 1 1 1
- For the delay in computing the decimal number: it reads the preceding output to compute the decimal value.

Computer Science Mathematics Binary Adder Finite State Machine FSM MAT385

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