Exact large integers
Uses BigInt instead of floating-point Number conversion.
Enter a base-2 whole number to convert it into an exact decimal integer, hexadecimal cross-check, and significant binary bit length using BigInt precision.
Decimal value = Σ(bit × 2^position), counting positions from 0 at the rightmost binary digit.
Uses BigInt instead of floating-point Number conversion.
Accepts 0b, negative sign, spaces and underscore grouping.
Shows decimal, hexadecimal and significant bit length.
Binary is a base-2 number system that uses only 0 and 1. Each position represents a power of two. Starting at the right, the place values are 1, 2, 4, 8, 16 and so on. Multiply each bit by its place value and add the results. For example, 101101 equals 32 + 8 + 4 + 1, which is 45 in decimal.
This converter accepts an optional 0b prefix, a leading minus sign, and spaces or underscores used for visual grouping. It removes grouping characters, validates every remaining digit, and uses BigInt so integers larger than JavaScript’s ordinary safe-number range remain exact.
Leading zeros do not change the numeric value. The significant bit count removes redundant leading zeros but still reports one bit for zero. Negative results use a minus sign rather than interpreting the input as two’s complement, because two’s complement requires a fixed bit width such as 8, 16, 32 or 64 bits.
| Input | What it means | Planning note |
|---|---|---|
| 1 | 1 in decimal | The rightmost place is 2^0. |
| 1010 | 10 in decimal | 8 + 2 = 10. |
| 11111111 | 255 in decimal | Eight 1 bits represent 2^8 - 1. |
| 100000000 | 256 in decimal | A 1 followed by eight zeros is 2^8. |
Check exercises involving base-2 place values and bit patterns.
Interpret binary literals, flags and integer representations.
Translate register or logic values into familiar decimal numbers.
Multiply each bit by the corresponding power of two and add the nonzero place values.
Yes. Spaces and underscores are removed before validation and conversion.
Yes. The browser BigInt type preserves exact whole-number values beyond the normal safe integer limit.
No. A leading minus sign represents a negative integer directly. Two’s complement needs a specified bit width.
Last reviewed: August 15, 2026. Integer conversions use browser BigInt for exact whole-number results.
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