# Convert Decimal 15 to Octal

(15)10 = (?)8. Decimal 15 to octal conversion provides the detailed information on what is the octal equivalent of the decimal number (15)10 and the step-by-step work for how to convert base-10 number (15)10 into octal (base-8) equivalent manually.

(15)10 in octal is equal to:
1510 = 178

Hence,
the octal equivalent of decimal number (15)10 is (17)8

where,
1510 is the given decimal number,
10 in 1510 represents the base-10 or decimal number system,
178 is the octal equivalent of the decimal 15,
8 in 178 represents the base-8 or octal number system.

Important Notes: (15)10 in Octal
The below are some of the important notes to be remembered while converting the (base-10) decimal number 15 into a (base-8) octal equivalent.

1. The first remainder while performing 15 MOD-8 operation is a Least Significant Bit (LSB).
2. The final remainder while performing 15 MOD-8 operation is a Most Significant Bit (MSB).
3. The remainders of 15 MOD-8 operation should be written from MSB to LSB to form the octal equivalent for the given decimal number (15)10.

For decimal values other than 15, use this below tool:

## How-to: What is (15)10 in octal?

The below step-by-step solution shows how to convert the decimal number 15 to its equivalent octal number. Representing each remainders of 15 MOD-8 operation in octal equivalents and arranging them from MSB to LSB produces the octal equivalent of 15.

Solved Example:
What is the octal equivalent of 15?

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

Input values:
Decimal Number = (15)10

What to be found:
What is the octal equivalent of the decimal number (15)10?
(15)10 = (?)8

step 2 Perform successive 15 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 15
 15 MOD-8 15 / 8 = 1 Remainder is 7 → LSB 1 MOD-8 1 / 8 = 0 Remainder is 1 → MSB

step 3 Arrange or write the remainders of 15 MOD-8 operation from MSB to LSB produces the equivalent octal number for decimal 15:
= 17
(15)10 = (17)8

Therefore,
the octal equivalent of decimal 15 is (17)8. 