If the good lord had wanted us to interact with transistors based on mnemonics, not electrical currents, he'd have implemented our brains in mnemonics, not electrical currents.
Nitpick over nitpick: synapses are not exactly electrical or ion current based, they have active transporters.
If all electrical activity ceases, does memory survive? (Answer is very likely yes given cryonic experiments. Brain is protein, ion currents have tendency to auto fire on defrost.)