Convert Decimal 16 to Octal

(16)10 = (?)8. Decimal 16 to octal conversion provides the detailed information on what is the octal equivalent of the decimal number (16)10 and the step-by-step work for how to convert base-10 number (16)10 into octal (base-8) equivalent manually.

(16)10 in octal is equal to:
16₁₀ = 20₈

Hence,
the octal equivalent of decimal number (16)10 is (20)8

where,
16₁₀ is the given decimal number,
10 in 16₁₀ represents the base-10 or decimal number system,
20₈ is the octal equivalent of the decimal 16,
8 in 20₈ represents the base-8 or octal number system.

Important Notes: (16)10 in Octal
The below are some of the important notes to be remembered while converting the (base-10) decimal number 16 into a (base-8) octal equivalent.

The first remainder while performing 16 MOD-8 operation is a Least Significant Bit (LSB).
The final remainder while performing 16 MOD-8 operation is a Most Significant Bit (MSB).
The remainders of 16 MOD-8 operation should be written from MSB to LSB to form the octal equivalent for the given decimal number (16)10.

For decimal values other than 16, use this below tool:

How-to: What is (16)10 in octal?

The below step-by-step solution shows how to convert the decimal number 16 to its equivalent octal number. Representing each remainders of 16 MOD-8 operation in octal equivalents and arranging them from MSB to LSB produces the octal equivalent of 16.

Solved Example:
What is the octal equivalent of 16?

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

Input values:
Decimal Number = (16)₁₀

What to be found:
What is the octal equivalent of the decimal number (16)10?
(16)10 = (?)8

step 2 Perform successive 16 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 16

16 MOD-8	16 / 8 = 2	Remainder is 0 → LSB
2 MOD-8	2 / 8 = 0	Remainder is 2 → MSB

step 3 Arrange or write the remainders of 16 MOD-8 operation from MSB to LSB produces the equivalent octal number for decimal 16:
= 20
(16)₁₀ = (20)₈

Therefore,
the octal equivalent of decimal 16 is (20)8.