Digital Electronics HW Help.

[koda6966]

Using Boolean how is this simplified?

A'B'C' + A'B'C + A'BC' + AB'C + ABC'

I'll also need to know the laws/theorems that apply to each step.

I can do the Kmap GREAT but I suck at Boolean.

 

[wizkid00104]

Try this, if it doesn't help I'll try to explain it. I am low on time right now though. You need java on your browser though.

http://hopper.unco.edu/KARNAUGH1.1/Function.html

 

[wizkid00104]

The first 2 terms...
Using the rule that A'+A=1,
A'B'C' + A'B'C = A'B'(C + C') = A'B'

3rd and 5th terms...
Using same rule...
A'BC' + ABC' = BC'(A' + A) = BC'

This gives us A'B' + BC' + AB'C.

I am working on the rest.

 

[koda6966]

Turns out that the boolean was different from the simplified equation from the K-map.

It came out to A'C' + B'C + BC'

The equation from the Kmap was A'B' + B'C + BC'

There was an alternate KMap solution involving crossing two groups in a different pattern, which led to either A'C' or A'B' in the first term.

Now, I'm on to doing the equation in a circuit. I almost have the last two imputs from my 7408 gate going to my 7432 gate wired in, but the bell rang so I'll do it up Monday and test it out.


(I dunno if that looks right. It does on mine.)

 

[exbass94]

Wow...I learned all this just last year and I already forgot it....

 

[jodom15sc]

dam, old school stuff, i took DE like 4/5 years ago, i think i still have my engineering books, ill see if i can find them and help you out

 

[koda6966]

Well, I was supposed to finish the circuit today (had it all in my head) but my girlfriend and I dislocated my knee last night. Won't be going in until tomorrow and I have no clue if I will be able to get the work done.