One of the most challenges in the robotic system is robot localization. It is the first step in robot navigation strategies. Its importance has been noted in a wide variety of applications, An efficient localization system must localize the robot precisely. In this book, the localization procedure and the structure of the proposed robot are explained. Pairs of low-cost sensors are used to build the suggested system. The light-dependent resistor (LDR) sensors are equipped with the robot base and the light-emitting diodes (LED) sensors are prepared for the environment as a grid of various sizes. The location of each LED in the environment is known since they are connected as a grid and each LED in the grid is identified. The modified Binary search algorithm is used to control the turning on the lights of the white-LEDs array to decrease the localized time. The robot localization is accomplished by utilizing the guideline of finding the focal point of a circle with three knowing focuses or the new strategy for finding the focal point of a circle with two knowing focuses and the radius of the circle.