A phase discriminator for being used in a phase-locked loop to determine if a phase difference between a reference signal and a target signal has reached a programmable gap value is disclose which comprises a programmable phase gap selector receiving the reference signal, a first phase digital converter converting an output signal from the programmable phase gap selector to a first digital code, a second phase digital converter converting a phase difference between the target signal and the reference signal to a second digital code, and a code comparator comparing the first and second digital code and generating a first instructional signal based on a change of order of the values of the first and second digital code.