block 09 number systems and fractions
Master computer number systems, binary fractions, floating-point, two's complement, and bitwise operations.
Deep inside a computer, every piece of data - whether text, an image, or a number - is stored as a sequence of binary digits. In this block, you will look under the hood of digital arithmetic to discover how computers represent negative integers, store fractional values using fixed-point and floating-point formats, and execute bitwise operations. You will also explore the limitations of digital memory, learning why computers sometimes struggle with precise decimal fractions and how rounding and truncation errors occur during calculations.
Last modified: September 20th, 2026
