In Google Sheets, how do I make an ARRAYFORMULA be the Boolean combination of two other columns?

Question

I.e., if I have:

A	B
TRUE	TRUE
TRUE	FALSE
FALSE	TRUE
FALSE	FALSE

say I want to create a column C that is A OR B:

A	B	C
TRUE	TRUE	TRUE
TRUE	FALSE	TRUE
FALSE	TRUE	TRUE
FALSE	FALSE	FALSE

Is this possible with ARRAYFORMULA or some other method which automatically creates a RANGE of values, without having to rely on auto-filling to increment a single column?

i.e., I'd like to do:

=ARRAYFORMULA(OR(A:A, B:B))

but since OR can take array inputs, the result of OR(A:A, B:B) is the single value TRUE, and the ARRAYFORMULA is also TRUE.

Answer 1

I figured out a workaround, by treating Booleans as integers.

For OR:

=ARRAYFORMULA(A:A + B:B>0)

For AND:

=ARRAYFORMULA(A:A * B:B>0)

Would be interested to know if there's a more elegant solution, though.