Logic operations and binary operations

[Bruno Tolentino]

If the binary operation of addition is theoretically connected with logic operation XOR, and if the binary operation of multiplication is theoretically connected with logic operation AND, so, the logic operation OR is connected with what binary operation? Exist some relationship?

Another question: the binary operation of subtraction and division are connected with some elementary logic operation or don't exist correspondent?

 

[WWGD]

Subtraction A-B may be seen as A XOR (NotB), I think. But there is no full correspondence that I am aware of. This seems like it may be dealt with in the area of Boolean algebras. Maybe you can use the correspondence to figure out the answer.

 

[cosmik debris]

OR is an add with no carry, XOR is subtraction, AND is multiply with no carry.

 

[Bruno Tolentino]

OR is an add with no carry, XOR is subtraction, AND is multiply with no carry.

This website says things different than you said...
http://academic.evergreen.edu/projects/biophysics/technotes/misc/bin_math.htm

 

[cosmik debris]

This website says things different than you said...
http://academic.evergreen.edu/projects/biophysics/technotes/misc/bin_math.htm

No it doesn't. I said with no carry.

 

[WWGD]

There are some database operations that mimic some of the logical and arithmetic operations, including, to my surprise, an operation of division on data tables.