Convert (426)8 into Decimal Equivalent

(426)8 = (?)10. Octal 426 to decimal decimal conversion provides the detailed information on what is the decimal equivalent of the octal 426 and the step-by-step solution using most simple method for how to convert (426)8 into corresponding (base-10) decimal equivalent manually.

(426)₈ in decimal is equal to:
426₈ = 278₁₀
0o426 = 278₁₀
Hence,
the decimal equivalent of octal number (426)8 is (278)10.

where,
426₈ is the given octal number,
8 in 426₈ represents the base-8 or octal number system,
278 is the decimal equivalent of octal number 426,
10 in 278₁₀ represents the base-10 or decimal number system.

Important Notes: (426)8 in Decimal
The below are some of the important notes to be remembered while converting the (base-8) octal number 426 into a (base-10) decimal equivalent.

1. The right most digit in the given base-8 number 426 is a Least Significant Digit (LSD).
2. The left most digit in the given base-8 number 426 is a Most Significant Digit (MSD).
3. The LSD of 426 should be multiplied with 8⁰.
4. The MSD of 426 should be multiplied with 8^{(no. of digits - 1)}.
For octal values other than 426, use this below tool:

SUBMIT

The below step-by-step solution using the most easiest method shows how to convert (426)8 into decimal equivalent. To find the decimal equivalent of (426)8, multiply 8⁰ with the right most digit, 8¹ with the left subsequent digit and so on until the left most digit of the given octal number 426. The sum of all individual products is the decimal equivalent of octal 426.
Solved Example:
Convert (426)8 into decimal equivalent.
step 1 Observe the input parameters, values and what to be found.

Input values:
Octal Number = 426₈

What to be found:
What is the decimal equivalent of (426)8?

step 2 Multiply 8⁰ with the right most digit, 8¹ with the left subsequent digit and so on until the left most digit of the given octal number 426. Therefore, arrange the given decimal number 426 in the expression form as like the below:
= (4 x 8²) + (2 x 8¹) + (6 x 8⁰)

step 3 Resolve the powers of 8 in the above equation:
= (4 x 64) + (2 x 8) + (6 x 1)

step 3 Simplify the above equation further:
= 256 + 16 + 6
= 278
(426)₂ = (278)₁₀

Therefore,
278 is the decimal equivalent of octal number (426)8