Solving a Logic Circuit Puzzle: Minimizing to SOP Form

AI Thread Summary
The discussion revolves around solving a logic circuit puzzle by minimizing it to Sum of Products (SOP) form. Initial attempts led to confusion, with one participant suggesting the circuit could be represented as NAND(A&B&C). After reviewing the truth tables and K-maps, errors were identified, prompting a re-evaluation of the outputs. Ultimately, a final expression was proposed as (A&~B) | (~A&B) | (B&~C) | (~B&~C), indicating increased confidence in the solution. The thread highlights the iterative process of troubleshooting logic circuit problems and refining outputs.
MagLok
Messages
13
Reaction score
0

Homework Statement


Here is an image of the problem (Write the circuit in min SOP form.) http://img211.imageshack.us/my.php?image=ddtl0.jpg


Homework Equations





The Attempt at a Solution



I've looked at it and gone over notes but I don't get it. If you would like I can scan my sheet of scribblings on there but they're all uneducated attempts to solve this.
 
Physics news on Phys.org
Ok, I went through it and I think that it's one big NAND. so the min sop is NAND(A&B&C)

Any confirmation?
 
So what's your equation for the output in terms of A, B, C? Show us your K-map.
 
http://img175.imageshack.us/img175/9707/test2009or8.jpg

Here's a scanned copy of the latest. Not feeling too good about number 1 since I'm getting all zeros on my truth table for number 2.
 
Last edited by a moderator:
MagLok said:
http://img175.imageshack.us/img175/9707/test2009or8.jpg

Here's a scanned copy of the latest. Not feeling too good about number 1 since I'm getting all zeros on my truth table for number 2.

I think I see an error in ABC~ in the first equations... And you need a pull-down on the first circuit to make it meaningful. Please re-check the tables to see if I'm making an error...
 
Last edited by a moderator:
Ok, so I re-did this problem and got ~C as the final answer. I'm pretty confident that that's the right answer, but please confirm :-P

EDIT:

Ok, re-did it again and got (A&~B) | (~A&B) | (B&~C) | (~B&~C)

More confident this time around :-P
 
Last edited:

Similar threads

Replies
7
Views
7K
Replies
10
Views
5K
Replies
4
Views
2K
Replies
4
Views
5K
Replies
2
Views
4K
Replies
15
Views
4K
Replies
5
Views
2K
Back
Top