Binary to Decimal Converter
Binary to Decimal Converter
Enter a binary number (using only 0s and 1s) to instantly see its decimal equivalent — useful for computer science studies or working with low-level data.
Each position in a binary number represents a power of 2, read right to left (1, 2, 4, 8, 16, and so on), and the decimal value is simply the sum of whichever powers have a 1 in that position — 1010 works out to 8 + 0 + 2 + 0, or 10 in decimal. This positional system is exactly how computers represent every number internally, since a transistor or memory cell naturally holds one of two states, which is why understanding binary-to-decimal conversion is a foundational step in computer science education even though modern programming rarely requires doing it by hand.
- Method: each binary digit represents a power of 2, read right to left (1, 2, 4, 8, 16...); the decimal value is the sum of powers where the binary digit is 1.
- Example: 1010 = 1×8 + 0×4 + 1×2 + 0×1 = 10.
- Only 0s and 1s: any other character makes the input invalid, since binary only has two digits.
What is 11111111 in decimal?
255 — this is the maximum value representable in 8 bits (a byte).
What is 100000 in decimal?
32, since it's 1×2⁵ = 32.
Binary to Decimal Converter
Enter a binary number (using only 0s and 1s) to instantly see its decimal equivalent — useful for computer science studies or working with low-level data.
Each position in a binary number represents a power of 2, read right to left (1, 2, 4, 8, 16, and so on), and the decimal value is simply the sum of whichever powers have a 1 in that position — 1010 works out to 8 + 0 + 2 + 0, or 10 in decimal. This positional system is exactly how computers represent every number internally, since a transistor or memory cell naturally holds one of two states, which is why understanding binary-to-decimal conversion is a foundational step in computer science education even though modern programming rarely requires doing it by hand.
- Method: each binary digit represents a power of 2, read right to left (1, 2, 4, 8, 16...); the decimal value is the sum of powers where the binary digit is 1.
- Example: 1010 = 1×8 + 0×4 + 1×2 + 0×1 = 10.
- Only 0s and 1s: any other character makes the input invalid, since binary only has two digits.
What is 11111111 in decimal?
255 — this is the maximum value representable in 8 bits (a byte).
What is 100000 in decimal?
32, since it's 1×2⁵ = 32.