⚖️Binary vs Decimal Systems

Binary System (Base-2)

1 KB = 1,024 bytes (2¹⁰). Used by operating systems and memory manufacturers.

Decimal System (Base-10)

1 KB = 1,000 bytes (10³). Used by storage device manufacturers and SI units.

IEC Binary Prefixes

KiB, MiB, GiB for binary. KB, MB, GB for decimal to avoid confusion.

💿Storage Device Types

Hard Disk Drives (HDD)

Mechanical storage, typically measured in decimal GB/TB

Solid State Drives (SSD)

Flash storage, measured in decimal but OS shows binary

RAM Memory

Always measured in binary units (GiB, not GB)

📁File Size Applications

Media Files

Photos (MB), Videos (GB), Audio (MB) - understanding file sizes for storage planning

Software Installation

Application sizes, system requirements, and available storage space

Data Transfer

Internet downloads, file sharing, backup calculations

🌐Network & Internet

Internet Speed

Mbps (megabits per second) vs MBps (megabytes per second) - 8 bits = 1 byte

Data Plans

Mobile data allowances, bandwidth limits, data usage monitoring

Cloud Storage

Subscription plans, backup sizes, sync calculations

📊Common File Sizes Reference

Text & Documents

  • • Text file: 1-100 KB
  • • Word document: 50-500 KB
  • • PDF document: 100 KB - 10 MB
  • • PowerPoint: 1-50 MB

Images & Graphics

  • • JPEG photo: 100 KB - 5 MB
  • • PNG image: 50 KB - 2 MB
  • • RAW photo: 20-100 MB
  • • Vector graphic: 10 KB - 1 MB

Audio & Video

  • • MP3 song: 3-10 MB
  • • HD video (1hr): 1-4 GB
  • • 4K video (1hr): 7-15 GB
  • • Streaming (1hr): 300MB-3GB

🖥️Computing Context

Why the Confusion?

The confusion between binary and decimal systems arose because:

  • • Computer memory naturally uses binary (powers of 2)
  • • Marketing used familiar decimal prefixes
  • • Different industries adopted different standards
  • • Legacy naming conventions persisted

Practical Impact

  • • 1TB drive shows as ~931GB in Windows
  • • Difference increases with larger capacities
  • • Always check which system is being used
  • • Use IEC prefixes (GiB) for clarity

💡Practical Tips

Storage Planning

  • • Always leave 10-15% free space on drives
  • • Consider future growth when sizing storage
  • • Factor in OS and application overhead
  • • Plan for backups and redundancy

Quick Calculations

  • • 1 GB ≈ 1 billion characters of text
  • • 1 MB ≈ 1 minute of CD-quality audio
  • • 1 GB ≈ 300 high-quality photos
  • • 1 TB ≈ 500 hours of HD video