Frequently Asked Questions

IEEE 754 is the standard format nearly all computers use to represent floating-point (decimal) numbers in binary, defining how the sign, exponent, and fraction bits are laid out.

Binary32 (single precision) uses 32 bits total (1 sign, 8 exponent, 23 mantissa); binary64 (double precision) uses 64 bits (1 sign, 11 exponent, 52 mantissa), giving roughly double the decimal precision.

0 means the number is positive; 1 means it's negative — it's the leftmost bit in the representation.

It stores the power of 2 the number is scaled by, offset by a fixed 'bias' (127 for binary32, 1023 for binary64) so the stored exponent is always a non-negative integer.

The mantissa stores the significant digits of the number after an implicit leading 1, representing the number in the form 1.fraction × 2^exponent.

0.1 in binary is an infinitely repeating fraction (like 1/3 in decimal), so it must be rounded to fit in a finite number of mantissa bits — this rounding is the source of many classic floating-point precision bugs.

It's the actual decimal value the bits represent after rounding to the chosen precision — for values that convert exactly, this matches your input; for others, it shows the nearest representable value.

It's a compact way to write the raw 32 or 64 bits, commonly used in debuggers, memory dumps, and low-level programming when working with floating-point values.

Yes — every JavaScript number is a binary64 (IEEE 754 double) value internally, even integers, which is why this converter can compute both formats precisely.

Yes, completely free with no sign-up, and it runs entirely in your browser.