Surely you know that under the hood we're all just algorithms? Electrical impulses determining what we're going to do before our own consciousness are aware of the impending decision.
You make the mistake of ascribing more importance to the "1s and 0s" of neuron activity we ourselves encompass, and imagining that a different arrangement of that exact same activity could not possibly yield a similar outcome. It's like saying plants can't be alive because they don't have brains.