# What does the logic statement "F = AB" mean? Bitwise A AND B?

On an ALU data sheet there are logic formulae showing the results that will be output for various inputs.

http://www.farnell.com/datasheets/1840939.pdf

(Second from last row on page 3.)

I assume that A+B means bitwise A OR B, this would follow, as the plus in a circle is XOR.

Does AB mean bitwise A AND B?

• It would follow, because the arithmetic plus is indicated by PLUS. And since the multiplication is not among the parts capability (as indicated on the first page), AB would mean bitwise A AND B. Jun 23, 2016 at 15:48
• A lot of sources are already on the google search, no offense I don't think there is a question here. Jun 23, 2016 at 16:16
• Unless it is a regex expression your deduction is true.
– user105652
Jun 23, 2016 at 22:29

Yes, when written as multiplication in normal math, it means AND in Boolean logic. This does make some sense when you think about it. Make a truth table of multiplying two value that can be either 0 or 1. The result is 0 except when both are 1, then the result is 1. That's exactly what AND does.

This logic doesn't really follow for "+", unless you consider 0 FALSE and anything else TRUE.

• So many words instead just yes
– user76844
Jun 23, 2016 at 16:31
• A one word answer is pretty much considered useless, and quickly downvoted. Points for the explanation. Jun 23, 2016 at 16:46
• unless you consider 0 FALSE and anything else TRUE Like most C-derived programming languages, for example :)
– cat
Jun 23, 2016 at 18:25

You are right AB mean A AND B . It is faster to write AB than A dot B or A AND B

• Is it also faster to write "right" than it is to write "write" right? Jun 23, 2016 at 15:51
• @BenVoigt Didn't realize the edit, filled the comment box with alternating "right" and "write" to measure typing speed. Only then I noticed the earlier revision. Jun 24, 2016 at 2:23