# Convert Decimal 24 to Octal

(24)10 = (?)8. Decimal 24 to octal conversion provides the detailed information on what is the octal equivalent of the decimal number (24)10 and the step-by-step work for how to convert base-10 number (24)10 into octal (base-8) equivalent manually.

(24)10 in octal is equal to:
2410 = 308

Hence,
the octal equivalent of decimal number (24)10 is (30)8

where,
2410 is the given decimal number,
10 in 2410 represents the base-10 or decimal number system,
308 is the octal equivalent of the decimal 24,
8 in 308 represents the base-8 or octal number system.

Important Notes: (24)10 in Octal
The below are some of the important notes to be remembered while converting the (base-10) decimal number 24 into a (base-8) octal equivalent.

1. The first remainder while performing 24 MOD-8 operation is a Least Significant Bit (LSB).
2. The final remainder while performing 24 MOD-8 operation is a Most Significant Bit (MSB).
3. The remainders of 24 MOD-8 operation should be written from MSB to LSB to form the octal equivalent for the given decimal number (24)10.

For decimal values other than 24, use this below tool:

## How-to: What is (24)10 in octal?

The below step-by-step solution shows how to convert the decimal number 24 to its equivalent octal number. Representing each remainders of 24 MOD-8 operation in octal equivalents and arranging them from MSB to LSB produces the octal equivalent of 24.

Solved Example:
What is the octal equivalent of 24?

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

Input values:
Decimal Number = (24)10

What to be found:
What is the octal equivalent of the decimal number (24)10?
(24)10 = (?)8

step 2 Perform successive 24 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 24
 24 MOD-8 24 / 8 = 3 Remainder is 0 → LSB 3 MOD-8 3 / 8 = 0 Remainder is 3 → MSB

step 3 Arrange or write the remainders of 24 MOD-8 operation from MSB to LSB produces the equivalent octal number for decimal 24:
= 30
(24)10 = (30)8

Therefore,
the octal equivalent of decimal 24 is (30)8. 