Drawing a KMap for f(A,B,C): Step-by-Step Guide

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The discussion centers on drawing a Karnaugh map (K-map) for the function f(A,B,C) = E m(0,1,3,6,7). The provided K-map layout was confirmed as correct, with suggestions to use code formatting for better spacing. Participants noted that two simplified expressions, (AB + A'B' + A'C) and (AB + A'B' + BC), are valid for the K-map, leading to confusion about which is preferable. The conversation also touched on the need to identify Static 1 Hazards after simplification, with one participant questioning the presence of such hazards in their solutions. Overall, both simplifications work, and the choice may depend on specific circuit design considerations.
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Draw a Kmap for

f(A,B,C) = E m(0,1,3,6,7)

I've had enough expirence with kmap through my digital courses to understand them, but I've never seen them described this way,

AB
00 01 11 10
C 0 1 0 1 0
C 1 1 1 1 0

Is this correct way of drawing it?
 
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ckaiser813 said:
Draw a Kmap for

f(A,B,C) = E m(0,1,3,6,7)

I've had enough expirence with kmap through my digital courses to understand them, but I've never seen them described this way,

AB
00 01 11 10
C 0 1 0 1 0
C 1 1 1 1 0

Is this correct way of drawing it?

Looks correct, but if you use the [ code ] [ / code ] tags (without spaces) around the table, it will preserve the spacings.

I haven't seen that notation before either...
 
Code:
     ab
     00 01 11 10
c 0  1  0   1  0
c 1  1  1   1  0
 
thanks for the help I than simplified it to (AB + A'B' + A'C), but when I use a simplifing program it says that I'm correct or it could also be (AB + A'B' + BC). I'm little confused with this one. My professor said once we simplified it we were suppose to find the Static 1 Hazard with this function, do you think the two different answers is what I'm looking for?
 
ckaiser813 said:
thanks for the help I than simplified it to (AB + A'B' + A'C), but when I use a simplifing program it says that I'm correct or it could also be (AB + A'B' + BC). I'm little confused with this one. My professor said once we simplified it we were suppose to find the Static 1 Hazard with this function, do you think the two different answers is what I'm looking for?

Both answer work for that K-map, and I think usually you would pick one based on other considerations (like availability of inverted signals, etc. I'm not seeing the hazard -- am I missing one?

http://en.wikipedia.org/wiki/Hazard_(logic )

.
 
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