a.3.2 fundamental data representation
Everything is binary. Learn how computers use simple 1s and 0s to represent absolutely everything, from your favourite songs and photos to complex numbers and text.
Deep down, your computer is pretty basic: it only understands two things, 1 (on) and 0 (off). So how does it show you a 4K movie, play music, or let you type an essay? Data representation is the secret code that translates our world into that binary language. We look at how numbers are converted into binary, how every letter you type is mapped to a unique code (like ASCII or Unicode), and how images are built from millions of tiny coloured dots called pixels. We even cover how sound waves are sliced up (sampled) to create digital audio. It’s the ultimate translation guide for the digital age.
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This section details the progressive curriculum mapping for Fundamental Data Representation, tracing the pedagogical journey from foundational symbolic substitution in early years to advanced floating-point arithmetic at Key Stage 5. It explicitly bridges the gap between abstract binary digits and the physical hardware constraints of transistors and registers. By mandating rigorous procedural tasks - such as calculating media file sizes and empirically demonstrating floating-point rounding errors - this mapping ensures students move beyond rote calculation to critically evaluate the mathematical and physical limits of digital representation.
Last modified: March 20th, 2026
