# 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.

1. The first remainder while performing 64 MOD-8 operation is a Least Significant Bit (LSB).
2. The final remainder while performing 64 MOD-8 operation is a Most Significant Bit (MSB).
3. 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. 