The ALU is capable of running two classes of operations: arithmetic and arithmetic operations to logic.The that particular ALU supports may be limited to adding and pulling or it can multiply or divide, trigonometric functions (sine, cosine, etc) and square roots. Some can only operate on whole numbers (integers) whilst others use floating point to represent real numbers-with limited precision.
However, any team that is capable of only the simplest operations can be programmed to break down complex operations into simple steps you can take. Therefore, any computer can be programmed to perform any arithmetic operation, although it takes longer to do so if its ALU does not directly support the operation. An ALU may also compare numbers and return boolean truth values (true or false) depending on whether one is equal to, above or below each other ("is 64 over 65?").
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