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๐Ÿ”ขNumber Bases Converter

Convert Decimal to Octal

Live bidirectional calculator for Decimal (DEC) and Octal (OCT) with verified formula and conversion charts.

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Number Bases4 units

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How the Calculation Works (Radix Base Conversion)

Formula:
Octal = convertBase(Decimal, 10 โ†’ 8)
Substitution:Base 10 value "1" mapped to Base 8
Calculated Result:1 OCT

Arbitrary-precision integer conversion using BigInt representation.

Decimal to Octal Conversion Table

Precomputed values for quick reference and printing.

Decimal โ†’ Octal(DEC โ†’ OCT)
DecimalOctal
1 DEC1 OCT
2 DEC2 OCT
4 DEC4 OCT
8 DEC10 OCT
10 DEC12 OCT
15 DEC17 OCT
16 DEC20 OCT
32 DEC40 OCT
64 DEC100 OCT
100 DEC144 OCT
128 DEC200 OCT
255 DEC377 OCT
256 DEC400 OCT
512 DEC1000 OCT
1024 DEC2000 OCT
Octal โ†’ Decimal(OCT โ†’ DEC)
OctalDecimal
1 OCT1 DEC
2 OCT2 DEC
4 OCT4 DEC
10 OCT8 DEC
12 OCT10 DEC
17 OCT15 DEC
20 OCT16 DEC
40 OCT32 DEC
100 OCT64 DEC
144 OCT100 DEC
200 OCT128 DEC
377 OCT255 DEC
400 OCT256 DEC
1000 OCT512 DEC
2000 OCT1024 DEC

About Decimal (DEC)

The Decimal system is a positional numeral system with radix 10.

History: Used extensively in modern computing systems.

Common Uses: Data processing, hardware registers, and digital logic.

About Octal (OCT)

The Octal system is a positional numeral system with radix 8.

History: Used extensively in computer architecture.

Common Uses: Software development, memory addressing, and data encoding.

โ“ Frequently Asked Questions

What is the difference between Decimal and Octal?

Decimal (DEC) and Octal (OCT) are positional numeral systems with different radix bases. In computer architecture, values are converted between bases using arbitrary-precision binary/hex representations.

How do I convert Decimal to Octal?

Parse each digit of the Decimal input according to its base powers, then repeatedly divide or format the integer into the target Octal radix digits.