At its core,

[Poopadoop]

Re. 1's and 0's.

Is it meaningful that the brain certainly gives the feeling that these decisions are self-directed?

The brain/mind is incredibly smart in some ways (e.g., problem solving) and incredibly dumb in others. It's certainly capable of interpreting reality in its own way irrespective of the true reality - e.g., visual illusions. Self-insight is something its not renowned for.

(I recommend turning the sound down unless you enjoy Japanese jingle pron).

I.e. learning is a thing. By "choosing" to change your future choices, you alter the truth tables which those 1's and 0's follow.

If you didn't 'choose' to change your choices, but it was done mechanistically through biology and physics, the same alterations would occur.

A lot of learning goes on passively fwiw. It's obvious that children learn to move over their development because everyone starts out so clumsy. But we also learn to see, hear, recognize objects and all sorts of other things. None of this requires conscious intervention on our part, or 'will'.

It is appropriate to ascribe those sub-conscious brain activities as unrelated to your conscious choices?

E.g. we are all probably licensed drivers, here. You probably have mentally practiced what you'd do to control your vehicle in a myriad of potentially dangerous situations.
Should one of those situations occur, you may need to physically respond to the hazard faster than you could consciously choose to do so. However, you've already chosen to do so in advance. So in the moment, you don't have time to choose, but that's not really indicative of any lack of free will, is it?

Well I'm not sure this relates to 'will' per se but what you've done here is train your brain (or it's trained itself) to automatically respond to a stimuli with what it reasons is an appropriate response. The re-wiring that goes on to make this happen has been documented (at least on the level of small numbers of neurons), so there's a biological correlate to this training - iow, it seems the mind is the brain is the mind.