What is NaN?
Not a Number. In IEEE 754, it is represented by all 1s in the exponent and a non-zero mantissa.
Calculator
Enter your values
Analysis
Interpretation of the current calculator output
Enter values to see detailed analysis and insights.
How to Use
Step-by-step instructions
- 1Enter a decimal number.
- 2The calculator will show the binary and hexadecimal representation.
- 3It also breaks down the Sign, Exponent, and Mantissa.
IEEE 754 Single Precision
Represents numbers using 1 sign bit (S), 8 exponent bits (E), and 23 mantissa bits (M).
Value = (-1)^S × 1.M × 2^(E-127)Variables:
SSign bit (0=+, 1=-)EExponent (biased by 127)MMantissa (fractional part)Example
12.5
Inputs:
Decimal:12.5
Steps:
- 1.Binary = 01000001010010000000000000000000
- 2.Sign = 0 (+)
- 3.Exponent = 10000010 (130 - 127 = 3)
- 4.Mantissa = 1.1001... (1 + 0.5 + 0.0625 = 1.5625)
- 5.Value = 1.5625 * 2^3 = 12.5
Result:
0x41480000