I have tried to make the argument that the usual system of flags in
programming were unary or binary-encoded unary objects. That is
nonsense. I don't know what I was thinking.

A unary system is a system of counting. The position of a (one) digit
can be ascribed with no meaning. If you begin partitioning counting
sticks (for example) by tens (in order to count how many groups of
tens that you would have) then you are starting to create a partially
mixed system. If the partitioning is done consistently along the lines
of integer exponents of some base n then it would be an n-ary counting
system.

The (standard) flag system in programming is a mixed system. You do
not use the bits in counting but you do ascribe the position of a bit
so that it has a particular meaning and the bit can take two states.
And since you can use the flags in different kinds of ways, the system
is not necessarily used in a purely consistent way.
Jim Bromer


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