Base-8 Exponentiation
Base-8 exponentiation, or octal exponentiation, refers to raising a number in octal (base-8) notation to a specific power. It follows the same principles as exponentiation in decimal (base-10) notation but with numbers represented in the octal system.
In octal exponentiation, you have a base number expressed in octal format, and you raise it to an exponent, which can be any real number, including integers, fractions, and irrational numbers.
Base-8 Exponentiation Calculator
Calculator
- enter the octal base-8
- the exponent
Results
- the exponentiation of the octal number in base8
- the result in decimal base10
Example Calculation
53 in base-8 (octal) notation;
- The base, 5, is the octal representation of the number five
- The exponent, 3, is the power we want to raise the base
The octal number 58 equals 510 in decimal.
Do the exponentation in decimal:
53=5 * 5 * 5 = 12510
53 in base-10 (decimal) notation equals 12510
Covert 12510 to octal:
To convert 12510 to octal, we perform successive divisions by 8 and collect the remainder.
The steps:
125÷8=15 remainder 5
15÷8=1 remainder 7
1÷8=0 remainder 1
The remainder's, read in reverse order = 175
Decimal 12510converts to 1758 in octal.