How would you set up a circuit to obtain NOT gate using a transistor?

Explanation

For case I:
When `A=0, I_(B)=0`
`rArr I_(C )=beta I_(B)=0`
Now `V_(C C)=I_(C )R_(C )+V_(CE)`
`=0+v_(0)`
`therefore v_(0)=V_(C C)=5V`
`rArr` State of output `C=1rArrC=barA`
For case II :
When `A=1, I_(B)=` max.
`rArr I_(C )=beta I_(B)=`max.
Now `V_(C C)=I_(C )R_(C )+V_(CE )`
`5=5+V_(CE)" "(because I_(C )="max.")`
`therefore v_(0)=V_(C C)=0`
`rArr ` State of output `C=0 rArr C=barA`
Thus, above circuit behaves like NOT gate.

Thus, `C=barA`