A method that provides high-entropy password protection for electronic devices without requiring the presence of a full keyboard for entering characters or special character-recognition capability. To proffer a password to an electronic device, a user enters a sequence of standard characters on a screen. The device reads the entered sequence, and determines screen position information associated with the entered sequence, according to where the characters are entered on the screen. The entered sequence and the screen position information are compared with a predetermined sequence of characters and predetermined screen position information. If the entered sequence and screen position information match the predetermined sequence and predetermined screen position information, the device accepts the entered sequence as a valid password.