Minimize the circuit for this expression

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momentum
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Summary: circuit diagram from minimize expression

I am drawing a circuit diagram from a minimize expression. I have come up with two circuit diagrams that give same result.
I am not sure which of the circuit diagram (1) or (2) is correct. Are both my diagram correct? Need help

ZyXRzrn.png
 
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I don't understand this in the first circuit. Is it an error?

1574180061806.png
 
No. This is not error
 
That is not b- . I crossed out that.

Let me post clean image again.. please see this
jjHWM9D.png
 
Well, they are the same then. The only difference is that you explicitly show how you generate b- in the 2nd case. Are you supposed to assume that you have all terms and inversions, or do you need to make your own inverted terms?
 
berkeman said:
The only difference is that you explicitly show how you generate b- in the 2nd case.

did you mean 1st case?
 
momentum said:
did you mean 1st case?
Oops, you are correct. I meant your first case. In the 2nd case, you seem to have b- available to use as an input without having to make it yourself.