Single Precision (32-bit) IEEE 754 format has a precision of 23 bits for the mantissa, allowing for accurate representation of fractional values within its range.
- Sign Bit (1 bit): Determines the sign of the number. 0 represents positive, and 1 represents negative.
- Exponent (8 bits): An unsigned integer from 0 to 255 in biased form, where 127 represents the actual zero. Exponents range from -126 to +127, providing a range of values to scale the significance.
- Significant Precision (23 bits): The significand includes 23 fraction bits to the right of the binary point and an implicit leading bit with a value 1 (unless the exponent is all zeros). This gives a total precision of 24 bits (equivalent to approximately 7.225 decimal digits).