Digital Electronics/Logic Gates/Basic Logic Gates Summary

Logic Gates Summary

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The table below summarize all the Basic Digital Gates and their characteristics

Basic Logic Gates Symbol Mathmatical Formula Truth Table
Buffer   Q = A A Q
0 0
1 1
NOT   Q = NOT A A Q
0 1
1 0
AND   Q = A . B A B Q
0 0 0
0 1 0
1 0 0
1 1 1
NAND   Q = NOT (A . B) A B Q
0 0 1
0 1 1
1 0 1
1 1 0
OR   Q = A + B A B Q
0 0 0
0 1 1
1 0 1
1 1 1
NOR   Q = NOT (A + B) A B Q
0 0 1
0 1 0
1 0 0
1 1 0
XOR   Q = (A + B) . NOT (A . B) A B Q
0 0 0
0 1 1
1 0 1
1 1 0
XNOR   Q = NOT ( (A + B) . NOT (A . B) ) A B Q
0 0 1
0 1 0
1 0 0
1 1 1