Question

What number is represented by the following single precision format: 11000000101000..00.

Answer 1

1 10000001 01000000000000000000000
sign bit is 1(-ve)
exp bits are 10000001 => in decimal it is 129
so, exponent/bias is 129-127 = 2
frac bits are 01

Decimal value is 1.01 * 2^2
1.01 in decimal is 1.25
1.01 * 2^2 in decimal is -5.0
so, 11000000101000000000000000000000 in IEEE-754 single precision format is -5.0
Answer: -5.0