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Floating-Point Representation Bits and Precision Calculator

Significant digits and precision of IEEE 754 formats.

Computes the number of significant decimal digits, smallest representable positive number, and largest finite number for a custom floating-point format with a given mantissa and exponent width.

Daniel Oh By Daniel Oh
Published Last reviewed 1 min read

Inputs

Results

Enter values and click Calculate to see results.
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How to use this calculator

  1. Fill in the inputs above using the units you already have.
  2. Values update automatically as you type — no submit button needed.
  3. Hover any result row for the underlying formula and intermediate values.

Formula

Digits ≈ mantissa_bits × log₁₀(2); Max_exp = 2^(exp_bits−1)−1

In depth

Computes the number of significant decimal digits, smallest representable positive number, and largest finite number for a custom floating-point format with a given mantissa and exponent width.