Meaning of logic operation " a' "

Question

I have found the following expression:

c = (a'.b)

what does it mean?

I know a.b is a and b (Boolean Algebra), but what does a'.b mean?

a' is the same as "not a", the negation of a, so a'.b means "not a and b" — ErikR, Commented May 28, 2021 at 7:19
ErikR - as that is an essentially complete reply would you like to post it as an answer. — Russell McMahon, Commented May 28, 2021 at 7:22
@ErikR does it mean that c is not equal to a and b? ( and is first?) — Anna Koroleva, Commented May 28, 2021 at 7:32
Don't say and is first, that's confusing. Actually the NOT comes first. So: c = NOT(a) AND b — Bimpelrekkie, Commented May 28, 2021 at 7:35
@AnnaKoroleva I'm not sure what you're asking. The expression a and b could be equal to a' and b if b is false. But as formulas they are not the same. — ErikR, Commented May 28, 2021 at 7:38

Meenie Leis · Accepted Answer · 2021-05-28 07:52:42Z

6

\$'\$ is complement operator in that context.

\$A'\$ is also equivalent to \$\overline A\$. It signifies a negation on boolean variable \$A\$, ie., \$\text{not } A\$.

So the expression in your question will become:- $$C=(\text{not }A) \text { and } B$$

answered May 28, 2021 at 7:30

Meenie Leis

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