Please be assured that the state-of-the-art is not as described. Sufficiently advanced hospitals would have means for healthcare workers to access vitals, lab values, patient location, current medications, current problem list / diagnoses, medical history from previous days and even previous visits, and even medical history from other institutions - all electronically. Staffs enter data into system directly and no transcribing is required. These are available as discrete data i.e. not freetext strings only decipherable by humans.
Also don't forget about electronic prescribing of drugs, glorified vending machines with pockets that only open when there is an order for that particular medication, and barcoded medication administration system.