👉 Gzip math is a fundamental concept in data compression, particularly with the Gzip algorithm. It leverages the mathematical properties of arithmetic and modular arithmetic to efficiently reduce the size of data files. The core idea is to represent numbers in a compressed form using modular arithmetic, where large numbers are replaced by their remainders when divided by a specific divisor (typically 1024). This process, known as modular exponentiation, significantly reduces the precision of floating-point numbers while preserving their essential values. By using bitwise operations and bit shifts, gzip can transform large floating-point numbers into a compact binary representation, making it possible to compress data without losing precision. This compression is reversible, allowing the original data to be reconstructed accurately from the compressed form. The efficiency of gzip math lies in its ability to handle large datasets with minimal computational overhead, making it widely used for compressing text files, images, and other data types where floating-point precision is crucial.