# Convert Decimal 42 to Octal

(42)10 = (?)8. Decimal 42 to octal conversion provides the detailed information on what is the octal equivalent of the decimal number (42)10 and the step-by-step work for how to convert base-10 number (42)10 into octal (base-8) equivalent manually.

(42)10 in octal is equal to:
4210 = 528

Hence,
the octal equivalent of decimal number (42)10 is (52)8

where,
4210 is the given decimal number,
10 in 4210 represents the base-10 or decimal number system,
528 is the octal equivalent of the decimal 42,
8 in 528 represents the base-8 or octal number system.

Important Notes: (42)10 in Octal
The below are some of the important notes to be remembered while converting the (base-10) decimal number 42 into a (base-8) octal equivalent.

1. The first remainder while performing 42 MOD-8 operation is a Least Significant Bit (LSB).
2. The final remainder while performing 42 MOD-8 operation is a Most Significant Bit (MSB).
3. The remainders of 42 MOD-8 operation should be written from MSB to LSB to form the octal equivalent for the given decimal number (42)10.

For decimal values other than 42, use this below tool:

## How-to: What is (42)10 in octal?

The below step-by-step solution shows how to convert the decimal number 42 to its equivalent octal number. Representing each remainders of 42 MOD-8 operation in octal equivalents and arranging them from MSB to LSB produces the octal equivalent of 42.

Solved Example:
What is the octal equivalent of 42?

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

Input values:
Decimal Number = (42)10

What to be found:
What is the octal equivalent of the decimal number (42)10?
(42)10 = (?)8

step 2 Perform successive 42 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 42
 42 MOD-8 42 / 8 = 5 Remainder is 2 → LSB 5 MOD-8 5 / 8 = 0 Remainder is 5 → MSB

step 3 Arrange or write the remainders of 42 MOD-8 operation from MSB to LSB produces the equivalent octal number for decimal 42:
= 52
(42)10 = (52)8

Therefore,
the octal equivalent of decimal 42 is (52)8. 