This letter proposes a suboptimal implementation of a binary correlator suitable for detecting a known fixed pattern in a binary stream. The theoretical performances in terms of the probability of nondetection and the probability of false alarm are evaluated. These performances show that the degradations are negligible. Compared to a proprietary core provided by FPGA vendor, this implementation allows a 15 % look-up table reduction, a 30 % register reduction and up to a 30 % higher clock frequency in a FPGA.