This article explains the relationships between bits, binary, hexadecimal, bytes and strings, shows how computers store and process data using binary, demonstrates hexadecimal and Base64 encodings, provides conversion tables and examples, and clarifies how UTF‑8 encodes characters.
Vectors, mathematical objects capturing magnitude and direction, serve as a versatile tool for representing multidimensional data, enabling everything from economic indicators and navigation cues to deep-learning feature extraction, similarity measures, and applications like music recognition, smart chatbots, and image search.
This article explains the concept of numeral bases, why hexadecimal became the standard in computing due to its compact mapping to binary, explores the theoretical possibility of higher bases like base‑20 or base‑32, and discusses their limited practical applications and inherent complexities.
