Convert Decimal 34 to Octal
(34)10 = (?)8. Decimal 34 to octal conversion provides the detailed information on what is the octal equivalent of the decimal number (34)10 and the step-by-step work for how to convert base-10 number (34)10 into octal (base-8) equivalent manually.
(34)10 in octal is equal to:
3410 = 428
Hence,
the octal equivalent of decimal number (34)10 is (42)8
where,
3410 is the given decimal number,
10 in 3410 represents the base-10 or decimal number system,
428 is the octal equivalent of the decimal 34,
8 in 428 represents the base-8 or octal number system.
Important Notes: (34)10 in Octal
The below are some of the important notes to be remembered while converting the (base-10) decimal number 34 into a (base-8) octal equivalent.
- The first remainder while performing 34 MOD-8 operation is a Least Significant Bit (LSB).
- The final remainder while performing 34 MOD-8 operation is a Most Significant Bit (MSB).
- The remainders of 34 MOD-8 operation should be written from MSB to LSB to form the octal equivalent for the given decimal number (34)10.
How-to: What is (34)10 in octal?
The below step-by-step solution shows how to convert the decimal number 34 to its equivalent octal number. Representing each remainders of 34 MOD-8 operation in octal equivalents and arranging them from MSB to LSB produces the octal equivalent of 34.
Solved Example:What is the octal equivalent of 34?
step 1 Observe the input parameters, values and what to be found:
Input values:
Decimal Number = (34)10
What to be found:
What is the octal equivalent of the decimal number (34)10?
(34)10 = (?)8
step 2 Perform successive 34 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 34
| 34 MOD-8 | 34 / 8 = 4 | Remainder is 2 → LSB |
| 4 MOD-8 | 4 / 8 = 0 | Remainder is 4 → MSB |
step 3 Arrange or write the remainders of 34 MOD-8 operation from MSB to LSB produces the equivalent octal number for decimal 34:
= 42
(34)10 = (42)8
Therefore,
the octal equivalent of decimal 34 is (42)8.
