Why 1 KB is 1024 Bytes and Not 1000?


 

Why 1 KB is 1024 Bytes, and so on up to 1 TB = 1024 GB:


🔍 Why 1 KB is 1024 Bytes and Not 1000?

When we talk about digital storage—like kilobytes (KB), megabytes (MB), gigabytes (GB), and terabytes (TB)—you might wonder:

“Why does 1 KB equal 1024 bytes and not just 1000 bytes?”



🧠 The Real Reason: It’s All About Binary

Computers don’t think in decimal (base 10) like humans do. Instead, they work in binary (base 2), meaning everything is calculated using 1s and 0s.

🔢 Binary Math Example:

  • In the decimal system, 1 thousand is 10³ = 1000

  • In the binary system, the closest number to 1000 is 2¹⁰ = 1024

So in computers:

  • 1 KB = 2¹⁰ = 1024 Bytes

  • Because that’s how memory is addressed in binary.


📚 Storage Units Explained

Let’s go step-by-step:


Unit

Full Form

Calculation

Binary Value

1 Byte

Smallest unit (8 bits)

1 KB

Kilobyte

1024 Bytes

2¹⁰

1 MB

Megabyte

1024 KB

2²⁰

1 GB

Gigabyte

1024 MB

2³⁰

1 TB

Terabyte

1024 GB

2⁴⁰

So it’s always 1024, not 1000, because:

📌 Computers store and process data in powers of 2.


💡 Then Why Do Some Devices Show 1GB = 1000MB?

Great question!

Some storage manufacturers (like for hard drives or USBs) use the decimal system (base 10) for marketing:

  • 1 KB = 1000 Bytes

  • 1 MB = 1000 KB

  • 1 GB = 1000 MB

That’s why a "500 GB" hard drive shows up as around 465 GB on your computer—it’s actually using the binary system (1024), while the label used decimal.


🎯 In Short:

  • 1 KB = 1024 Bytes because computers count using binary (base 2).

  • Each level (KB → MB → GB → TB) multiplies by 1024.

  • This is the true way storage works inside your devices.



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