Why Does My Synchronous Circuit Analysis Differ from the Expected Diagram?

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SUMMARY

The discussion centers on discrepancies between a user's synchronous circuit analysis and the expected diagram. The user analyzes a basic circuit involving two inputs (A, B) and a carry input (Cin), leading to outputs T1 (Co) and T2 (S) defined by the equations T1=Co=A*B +A*Cin +B*Cin and T2=S=A XOR B XOR Cin. The user presents a state transition table that further illustrates the differences, ultimately concluding that the provided diagram may be incorrect.

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I'm trying to analyze the following circuit which is pretty basic.
There is the circuit and it's diagram which is the solution:

http://img822.imageshack.us/img822/7291/circuiti.jpg

Please help me find the mistake, because my diagram becomes different from the one in the picture.

Looking at the circuit, I see that:
T1=Co=A*B +A*Cin +B*Cin=Q1*Q1 +Q1*X +Q2*X
T2=S=A XOR B XOR Cin = Q1 XOR Q2 XOR X

and then i get a small table to organize everything:

Code:
present   next 
state      state
            x=0         x=1
Q0 Q1   T1 T2 Z    | T1 T2 Z
0 0     0  0   0    0   1  0
0 1     0  1   0    1   0  0
1 0     0  1   0    1   0  0
1 1     1  0   0    1   1  1

and obviously if i draw the diagram it looks much different from the one I'm supposed to get.


Can anyone tell me where did I go wrong?
 
Last edited by a moderator:
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I agree with you. I think the diagram is wrong.
 

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