# 7-variable simplification

1. Jun 9, 2006

### electronic engineer

Assume 7 variables like: C0,C1,C2,C3,C4,C5,C6

and the output function is : A=C6+C5'C4+C4'C3+C3'C2+C2'C1+C1'C0

well i know that the simplified function is:

A=C6+C5'C4+C3'C2+C1'C0

but i don't know why? and don't know how to simplify such 7-variables function using known algorithms (karnaugh,quinne-mccluskey....)
i think that it would be more comfortable to use CAD (computer aided design) rather than those algorithms in this case of more than 6 input variables.....

anyway could anyone guide me through this problem and if i'm right about using CAD , i need to have a clue about it !

regards

2. Jun 10, 2006

### Manchot

Well, C6 doesn't appear in any terms other than the one that it is in by itself, so you can ignore it initially and add it back in later. This leaves you with a six-variable equation, which is significantly easier to make a Karnaugh map out of.

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