IEEE 754 Single Precision Floating Point

Total Size: 32 bits

• Sign bit: 1 bit
• Exponent: 8 bits (biased, excess-127 notation)
• Mantissa (Fraction): 23 bits

? Exponent Representation

The exponent is stored in 8-bit biased form with a bias of 127.
Stored exponent = Actual exponent + 127

Example:
Actual exponent = 3
Stored exponent = 3 + 127 = 130 = 10000010

✅ Conclusion

In IEEE single precision, the exponent is represented in 8-bit biased (excess-127) notation.