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Convert Numbers Between Binary, Octal, Decimal, and Hexadecimal

Convert numbers between binary, octal, decimal, and hexadecimal instantly. Free online base converter for programmers, students, and engineers. See all four ...

If you have ever debugged a memory address in hex, set file permissions in octal, or tried to understand a binary flag register, you know how frustrating it is to convert between number bases manually. This converter shows all four representations — binary, octal, decimal, and hexadecimal — simultaneously, so you can type in any base and instantly see the value in every other base. No calculators, no scratch paper, no mental math. Just the answer.

Real Number Conversions You Will Actually Encounter
These are not random examples. They are the specific conversions that programmers, network engineers, and students run into constantly. Seeing them side by side builds the intuition that makes you faster at reading different bases.

Unix file permissions (octal to binary)

chmod 755 means: owner has 7 (111 = read+write+execute), group has 5 (101 = read+execute), others have 5 (101 = read+execute). In binary, the full permission is 111101101. Understanding this octal-to-binary mapping is essential for Linux system administration.

Memory addresses (hex to decimal)

A pointer value like 0x7FFF is 32767 in decimal. When debugging, you often need to convert hex addresses to decimal to understand array offsets or memory sizes. This converter handles the math instantly.

Color codes (hex to binary)

The CSS color #FF0000 has red=FF (11111111 in binary), green=00 (00000000), blue=00 (00000000). Understanding the binary representation helps when you need to manipulate color channels with bitwise operations.

Network masks (decimal to binary)

A subnet mask of 255.255.255.0 means each 255 is 11111111 in binary and the 0 is 00000000. The binary representation makes it immediately clear which bits are network bits and which are host bits.

Number Base Conversion Questions

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