Although the Global Positioning System (GPS) is very accurate for outdoor positioning operations, it is generally unsteady for indoor operations. To handle this situation, variety of systems have been developed and Radio Frequency Identification (RFID) technology is generally preferred in these implementations. In this project, it is aimed to obtain localization information of people inside a building by using RFID tags. For this purpose, Received Signal Strength Indicator (RSSI) values are used to have a distance estimate. To implement localization algorithms, some mathematical operations need to be performed and Field Programmable Gate Arrays (FPGA) have been used to realize these operations.