Binary / Hex / Octal Converter

Convert numbers between decimal, binary, octal, and hexadecimal.

By Konstantin Iakovlev · Updated April 2026 · Source: Khan Academy

Input Base

Decimal

255

Hexadecimal

0xFF

All Representations

Decimal (Base 10)255
Binary (Base 2)11111111
Octal (Base 8)377
Hexadecimal (Base 16)FF

Use the Binary / Hex / Octal Converter above to calculate your results. Enter your values and see instant results — all calculations run in your browser.

Disclaimer: This calculator is for informational purposes only and does not constitute tax, financial, or legal advice. Results are estimates based on the information you provide and current rates. Always consult a qualified tax professional or financial advisor for advice specific to your situation.

How It Works

Numbers move freely here across decimal (base-10), binary (base-2), octal (base-8), and hexadecimal (base-16). These conversions stay foundational in 2026 for computer science, networking, and embedded systems work, all the more so as IoT devices and AI applications keep multiplying.

Standard base-conversion algorithms do the work. Going from decimal into binary, octal, or hex means dividing repeatedly by the target base and collecting the remainders. Going the other way, into decimal, means summing each digit multiplied by the matching power of its base.

Two characters cause most of the trouble: hexadecimal '0' read as the letter 'O', and '1' read as 'l'. Confirm which base you are starting from and which you are converting to before you trust a result. Note as well that hexadecimal uses A-F to stand for the values 10-15.

Example: Converting a 2026 server's memory address

  1. 1 A server in a 2026 data center has a memory address represented in hexadecimal as 0x1A4F. We want to find its decimal equivalent.
  2. 2 Input '1A4F' into the hexadecimal field and select 'Decimal' as the target output. The calculator will perform the conversion: (1 * 16^3) + (10 * 16^2) + (4 * 16^1) + (15 * 16^0).
  3. 3 The decimal equivalent of 0x1A4F is 6735.
  4. 4 This decimal value (6735) could represent a specific memory location or an offset within the server's RAM, crucial for debugging or optimizing system performance in 2026.

Source: Khan Academy · Last updated: April 2026

Frequently Asked Questions

How do you convert decimal to binary?
Repeatedly divide by 2 and record the remainders from bottom to top. For example, 13: 13÷2=6r1, 6÷2=3r0, 3÷2=1r1, 1÷2=0r1. Reading remainders upward: 1101.
How do you convert hex to decimal?
Multiply each hex digit by its position value (powers of 16) from right to left. For hex 2F: F(15)x1 + 2x16 = 15 + 32 = 47 decimal.
Why do programmers use hexadecimal?
Hexadecimal is compact (1 hex digit = 4 binary digits) and convenient for representing memory addresses, color codes, and byte values. Two hex digits represent one byte (0-255), making binary data much easier to read.

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