A method for applying probability functions in real time includes receiving an input value. An optimized binary sequence is selected from a lookup table based on the received input value. The lookup table includes probability values of at least a part of a noise probability sequence. The input value is masked by a least significant bit of the selected optimized binary sequence to yield an output value. The selected optimized binary sequence is right shifted by one bit and the right shifted bit is carried over to a most significant bit position of the selected optimized binary sequence.