We propose anticollision algorithms using bit collision detection for FM0 code and Miller subcarrier sequence in Radio Frequency Identification (RFID) applications. We present Mealy machine representations of FM0 code and Miller subcarrier sequence. The performance of the anticollision algorithm using bit collision detection for Miller subcarrier sequence is the same as that for FM0 code. We show that the throughput of the bit collision detection algorithms for FM0 code and Miller subcarrier sequence is 0.5 while the throughput of the conventional binary tree algorithm, which is used for ISO 18000-6B RFID standard, is 0.35.