👉 The CPU's mathematical operations are fundamental to its function, primarily involving arithmetic, logical, and control flow computations. At the core, CPUs perform basic arithmetic operations like addition, subtraction, multiplication, and division using binary arithmetic (binary floating-point or fixed-point representations). They also handle logical operations such as AND, OR, NOT, and XOR using bitwise manipulations. Control flow involves evaluating conditions (using comparisons) and managing program execution order through jumps and branches, often using bitwise operations for efficiency. Floating-point calculations, critical for scientific computing, rely on algorithms like the IEEE 754 standard to handle precision and rounding. These operations are executed in parallel across multiple cores, enabling high-speed processing of complex mathematical tasks essential for applications like simulations, data analysis, and AI.
