Convert 11111111 binary to decimal
Convert numbers between binary, decimal, octal, and hexadecimal.
To convert the binary number 11111111 to decimal, multiply each digit by its corresponding power of 2 and add the results.
Multiply each binary digit by its power of 2:
(11111111)2 = 1 × 2⁷ + 1 × 2⁶ + 1 × 2⁵ + 1 × 2⁴ + 1 × 23 + 1 × 22 + 1 × 2¹ + 1 × 2⁰
= 128 + 64 + 32 + 16 + 8 + 4 + 2 + 1
= 255
(11111111)2 = (255)10
How to convert 11111111 binary to decimal
To convert 11111111 binary to decimal, repeatedly divide by the target base and collect the remainders.
This is a base conversion — numbers can be represented in different bases: binary (base 2), octal (base 8), decimal (base 10), hexadecimal (base 16).
Frequently asked questions
What is the answer to 11111111 binary to decimal?
The answer is 255.
What method is used?
Divide by the target base repeatedly, collecting remainders. Read remainders bottom-to-top for the result.