Arithmetic circuits are checking the dependency of output and input at any instant. The types of this circuit tell the users about its various features and use. In combinational circuit, there is no memory element so the output only depends on the present state where in the sequential circuit the output depend on the past state as well as present state because it have memory element. This paper introduces the arithmetic circuits use in the computer architecture. The types of the arithmetic circuit, combinational circuit and sequential circuit. Use of these circuits and application and features this circuit.