1. Number system
IGCSE Computer Science (0478)
  • Data Representation
    • Introduction
    • Why computers use binary (how binary represents data)
    • Number system
      • Introduction
      • Number Conversions
      • Addition of Binary Numbers
      • Logical binary shifts (positive 8-bit integers)
      • Two’s Complement (Signed: Positive and Negative Numbers)
      • Use of the Hexadecimal System
    • Text, Sound and Image
      • Text, Sound and Images
      • File Types
    • Data storage and File compression
      • Measurement of the Size of Computer Memories
      • Lossless and Lossy File Compression
  1. Number system

Introduction

Number Systems#

Binary System
Uses only two digits: 0 and 1.
Each digit shows whether a switch is OFF (0) or ON (1).
The leftmost digit is called the Most Significant Bit (MSB) because it has the highest value.
Denary System
The normal counting system we use every day.
Uses digits from 0 to 9.
Hexadecimal System (Hex)
Uses sixteen symbols: 0 to 9 and then A to F.
Letters A to F stand for values 10 to 15.
Hex is a compact way to write binary numbers.
BinaryHexDenary
000000
000111
001022
001133
010044
010155
011066
011177
100088
100199
1010A10
1011B11
1100C12
1101D13
1110E14
1111F15
Modified at 2025-08-11 06:25:28
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Number system
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