👉 Bit math revolves around the fundamental units of information: bits, which are binary digits representing either 0 or 1. These bits form the basis of digital data processing, enabling computers to perform calculations and store information. Key operations include bitwise AND (logical AND), OR (logical OR), XOR (exclusive OR), NOT (~), shift operations (left/right shifts), and bitwise NOT (~). For example, the AND operation compares each bit of two bits; if both are 1, the result is 1; otherwise, it's 0. Shifting bits to the left multiplies their values by powers of two, while shifting right divides by powers of two, effectively compressing or expanding data. These operations are crucial for tasks like encryption, compression, and low-level programming, where direct manipulation of binary data is essential. Understanding bit math is vital for grasping how computers handle information at the most basic level, underpinning everything from simple arithmetic to complex algorithms.
