The CPU of a computer is responsible for performing arithmetic and logical operations, making it the central processing unit of the computer.

The primary function of a computer's Central Processing Unit (CPU) is to perform arithmetic and logical operations. The CPU is often referred to as the "brain" of the computer because it carries out all the necessary calculations and decision-making processes.

The CPU consists of several components, including the Arithmetic Logic Unit (ALU) and the Control Unit (CU). The ALU is responsible for performing arithmetic operations such as addition, subtraction, multiplication, and division. It also performs logical operations such as comparisons and boolean operations. The CU, on the other hand, coordinates and manages the activities of the CPU, ensuring that instructions are executed in the correct sequence and that data is transferred between different components.

The CPU fetches instructions from the computer's memory and executes them one by one. These instructions can be simple calculations or complex operations that involve multiple steps. The CPU uses its ALU to perform these operations, manipulating data according to the instructions provided.

The CPU also plays a crucial role in controlling and coordinating the activities of other computer components. For example, it interacts with the memory to store and retrieve data, with the input/output devices to send and receive information, and with the operating system to manage resources and execute programs.

In summary, the primary function of a computer's CPU is to perform arithmetic and logical operations. It is responsible for executing instructions, manipulating data, and coordinating the activities of other computer components. Without a CPU, a computer would not be able to perform any calculations or process any information.