Analisi e sintesi di un sommatore a 2-bit 

1) Timing diagram

 

 

 

 

 

 

 

 

 

2) Truth Table (from the simulation)

B1	B0	A1	A0	C1	S1	C0	S0
0	0	0	0	0	0	0	0
0	0	0	1	0	0	0	1
0	0	1	0	0	1	0	0
0	0	1	1	0	1	0	1
0	1	0	0	0	0	0	1
0	1	0	1	0	1	1	0
0	1	1	0	0	1	0	1
0	1	1	1	1	0	1	0
1	0	0	0	0	1	0	0
1	0	0	1	0	1	0	1
1	0	1	0	1	0	0	0
1	0	1	1	1	0	0	1
1	1	0	0	0	1	0	1
1	1	0	1	1	0	1	0
1	1	1	0	1	0	0	1
1	1	1	1	1	1	1	0

2) K-Maps

Function: C1--------------------------------------------------------------------------------------------Function:S1

 

 

 

 

 

 

 

 

Function: C0---------------------------------------------------------------------------------------- Function: S0

 

 

 

 

 

 

 

 

 

B1	B0	A1	A0	C1	S1	C0	S0
0	0	0	0	0	0	0	0
0	0	0	1	0	0	0	1
0	0	1	0	0	1	0	0
0	0	1	1	0	1	0	1
0	1	0	0	0	0	0	1
0	1	0	1	0	1	1	0
0	1	1	0	0	1	0	1
0	1	1	1	1	0	1	0
1	0	0	0	0	1	0	0
1	0	0	1	0	1	0	1
1	0	1	0	1	0	0	0
1	0	1	1	1	0	0	1
1	1	0	0	0	1	0	1
1	1	0	1	1	0	1	0
1	1	1	0	1	0	0	1
1	1	1	1	1	1	1	0

3) Boolean expression of outputs:

C1 = (B1andA1) or (B1andB0andA0) or (B0andA1andA0) S1 = (B1and!B0and!A1) or (!B1and!B0andA1) or (!B1andA1and!A0) or (B1and!A1and!A0) or (B1andB0andA1andA0) or (!B1andB0and!A1andA0)

C0 = B0andA0 S0 = (!B0andA0)or(B0and!A0)

4) Schematics

C1 network:

 

 

 

 

 

 

 

 

 

 

 

S1 network:

 

 

 

 

 

 

 

 

 

 

 

 

 

C0 network:

 

 

 

 

 

 

 

 

S0 network: