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Laws of 1s and 0s

Here the presence of a 1 or 0 has the effect of swamping the output. It is the complementary rule to identities where the 1 and 0 has no effect.

This is (for my way of thinking as a physicist) best thought of in terms of logic gates. Linking the 1 or 0 to the signal has the effect of totally influencing the output - so you may as well remove the logic gate and just put in the high or low signal.

. =

Here we have and as inputs into an AND gate. Both inputs have to high for the output to be high... and as one of them IS low the output will always be zero!

0
Output
0
0
0
1
0
0

 

+ =

Here we have and as inputs into an OR gate. If either input is high the gate output will be high... and as one of them IS high the output will always be high.

1
Output
0
1
1
1
1
1