Convert Decimal 64 to Octal

(64)10 = (?)8. Decimal 64 to octal conversion provides the detailed information on what is the octal equivalent of the decimal number (64)10 and the step-by-step work for how to convert base-10 number (64)10 into octal (base-8) equivalent manually.

(64)10 in octal is equal to:
64₁₀ = 100₈

Hence,
the octal equivalent of decimal number (64)10 is (100)8

where,
64₁₀ is the given decimal number,
10 in 64₁₀ represents the base-10 or decimal number system,
100₈ is the octal equivalent of the decimal 64,
8 in 100₈ represents the base-8 or octal number system.

Important Notes: (64)10 in Octal
The below are some of the important notes to be remembered while converting the (base-10) decimal number 64 into a (base-8) octal equivalent.

The first remainder while performing 64 MOD-8 operation is a Least Significant Bit (LSB).
The final remainder while performing 64 MOD-8 operation is a Most Significant Bit (MSB).
The remainders of 64 MOD-8 operation should be written from MSB to LSB to form the octal equivalent for the given decimal number (64)10.

For decimal values other than 64, use this below tool:

How-to: What is (64)10 in octal?

The below step-by-step solution shows how to convert the decimal number 64 to its equivalent octal number. Representing each remainders of 64 MOD-8 operation in octal equivalents and arranging them from MSB to LSB produces the octal equivalent of 64.

Solved Example:
What is the octal equivalent of 64?

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

Input values:
Decimal Number = (64)₁₀

What to be found:
What is the octal equivalent of the decimal number (64)10?
(64)10 = (?)8

step 2 Perform successive 64 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 64

64 MOD-8	64 / 8 = 8	Remainder is 0 → LSB
8 MOD-8	8 / 8 = 1	Remainder is 0
1 MOD-8	1 / 8 = 0	Remainder is 1 → MSB

step 3 Arrange or write the remainders of 64 MOD-8 operation from MSB to LSB produces the equivalent octal number for decimal 64:
= 100
(64)₁₀ = (100)₈

Therefore,
the octal equivalent of decimal 64 is (100)8.