# Convert Decimal 53 to Octal

(53)10 = (?)8. Decimal 53 to octal conversion provides the detailed information on what is the octal equivalent of the decimal number (53)10 and the step-by-step work for how to convert base-10 number (53)10 into octal (base-8) equivalent manually.

(53)10 in octal is equal to:
5310 = 658

Hence,
the octal equivalent of decimal number (53)10 is (65)8

where,
5310 is the given decimal number,
10 in 5310 represents the base-10 or decimal number system,
658 is the octal equivalent of the decimal 53,
8 in 658 represents the base-8 or octal number system.

Important Notes: (53)10 in Octal
The below are some of the important notes to be remembered while converting the (base-10) decimal number 53 into a (base-8) octal equivalent.

1. The first remainder while performing 53 MOD-8 operation is a Least Significant Bit (LSB).
2. The final remainder while performing 53 MOD-8 operation is a Most Significant Bit (MSB).
3. The remainders of 53 MOD-8 operation should be written from MSB to LSB to form the octal equivalent for the given decimal number (53)10.

For decimal values other than 53, use this below tool:

## How-to: What is (53)10 in octal?

The below step-by-step solution shows how to convert the decimal number 53 to its equivalent octal number. Representing each remainders of 53 MOD-8 operation in octal equivalents and arranging them from MSB to LSB produces the octal equivalent of 53.

Solved Example:
What is the octal equivalent of 53?

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

Input values:
Decimal Number = (53)10

What to be found:
What is the octal equivalent of the decimal number (53)10?
(53)10 = (?)8

step 2 Perform successive 53 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 53
 53 MOD-8 53 / 8 = 6 Remainder is 5 → LSB 6 MOD-8 6 / 8 = 0 Remainder is 6 → MSB

step 3 Arrange or write the remainders of 53 MOD-8 operation from MSB to LSB produces the equivalent octal number for decimal 53:
= 65
(53)10 = (65)8

Therefore,
the octal equivalent of decimal 53 is (65)8. 