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Combining gates

are often combined to create more complex conditions. When this happens, the of one gate is connected directly to another gate.

Combining two AND gates

Two AND gates combined representing a TRUE output

Here, the output Q is 1 (TRUE) only if C and D are 1 (TRUE). D is only 1 (TRUE) if inputs A and B are 1 (TRUE).

As a this circuit is:

ABCD = A AND BQ
00000
00100
01000
01100
10000
10100
11010
11111
A0
B0
C0
D = A AND B0
Q0
A0
B0
C1
D = A AND B0
Q0
A0
B1
C0
D = A AND B0
Q0
A0
B1
C1
D = A AND B0
Q0
A1
B0
C0
D = A AND B0
Q0
A1
B0
C1
D = A AND B0
Q0
A1
B1
C0
D = A AND B1
Q0
A1
B1
C1
D = A AND B1
Q1

Note: D is not strictly necessary in the table, but it helps in understanding Q.