Convert a whole number written in base 8 into its exact base-10 integer value.
Enter an integer containing only octal digits 0 through 7.
The converter accepts up to 1,000 octal digits and preserves the exact integer result; it does not accept signs, fractions, or prefixes.
Convert a whole number written in octal (base 8) into its exact decimal (base 10) integer value. Only digits 0 through 7 are valid in the input, and leading zeroes do not change the value.
The converter supports up to 1,000 octal digits and uses integer arithmetic to preserve large results without floating-point rounding. It does not accept signs, fractions, or base prefixes.
Input is limited to 1,000 digits. Leading zeroes are allowed and have no effect on the value.
Decimal value = Σ(digit × 8position), where the rightmost digit has position 0. For the octal numeral 17, this is 1 × 81 + 7 × 80 = 8 + 7 = 15.
| Term | Meaning |
|---|---|
| Octal digits | Digits 0 through 7 in the input numeral. |
| Position | Power of 8 assigned from right to left, starting at 0. |
| Decimal result | The same integer expressed in base 10. |
Convert octal 52 to decimal:
As a quick check, octal 17 equals 1 × 8 + 7 = decimal 15.
The decimal output represents the same integer as the octal input, written using base-ten digits. For example, octal 10 is decimal 8, not decimal 10. Large results are returned as exact integer text rather than a floating-point approximation.
This page converts whole numbers only. It does not interpret fractions, negative signs, prefixes, or values in other bases. Keep the original octal value with the result when documenting a conversion.
It converts a whole integer written in base 8 to its exact base-10 representation. Only digits 0 through 7 are accepted.
It accepts up to 1,000 digits, uses integer arithmetic to preserve large values, and does not support fractions, signs, or prefixes.
Repeat the worked example first. For octal-to-decimal converter, it should agree with this check: Octal 17 equals 1 × 8 + 7 = decimal 15.
It may use another definition, factor, period or rounding rule. This page has this specific limit: The input is interpreted as base eight, even when it looks like an ordinary decimal numeral.
No rounding is applied: the calculator returns the exact integer value as decimal digits.
Zero is accepted where it has a real meaning, but the octal-to-decimal converter rejects a zero divisor or another value that makes the formula undefined.
Use the octal-to-decimal converter to check arithmetic. Review the underlying records and obtain suitable professional advice when the decision has serious consequences.