Convert Decimal 17 to Octal

(17)10 = (?)8. Decimal 17 to octal conversion provides the detailed information on what is the octal equivalent of the decimal number (17)10 and the step-by-step work for how to convert base-10 number (17)10 into octal (base-8) equivalent manually.

(17)10 in octal is equal to:
17₁₀ = 21₈

Hence,
the octal equivalent of decimal number (17)10 is (21)8

where,
17₁₀ is the given decimal number,
10 in 17₁₀ represents the base-10 or decimal number system,
21₈ is the octal equivalent of the decimal 17,
8 in 21₈ represents the base-8 or octal number system.

Important Notes: (17)10 in Octal
The below are some of the important notes to be remembered while converting the (base-10) decimal number 17 into a (base-8) octal equivalent.

The first remainder while performing 17 MOD-8 operation is a Least Significant Bit (LSB).
The final remainder while performing 17 MOD-8 operation is a Most Significant Bit (MSB).
The remainders of 17 MOD-8 operation should be written from MSB to LSB to form the octal equivalent for the given decimal number (17)10.

For decimal values other than 17, use this below tool:

How-to: What is (17)10 in octal?

The below step-by-step solution shows how to convert the decimal number 17 to its equivalent octal number. Representing each remainders of 17 MOD-8 operation in octal equivalents and arranging them from MSB to LSB produces the octal equivalent of 17.

Solved Example:
What is the octal equivalent of 17?

step 1 Observe the input parameters, values and what to be found:

Input values:
Decimal Number = (17)₁₀

What to be found:
What is the octal equivalent of the decimal number (17)10?
(17)10 = (?)8

step 2 Perform successive 17 MOD-8 operation until the quotient becomes 0, and mark the first remainder as LSB and the final remainder as MSB as like the below:

Successive MOD-8 Operation for 17

17 MOD-8	17 / 8 = 2	Remainder is 1 → LSB
2 MOD-8	2 / 8 = 0	Remainder is 2 → MSB

step 3 Arrange or write the remainders of 17 MOD-8 operation from MSB to LSB produces the equivalent octal number for decimal 17:
= 21
(17)₁₀ = (21)₈

Therefore,
the octal equivalent of decimal 17 is (21)8.