IEEE-754 Floating Point representation explained

sign

s = −10 s = 0

exponent

e = e = e = p = e − 1023 p =

significand

n = n = n = n = n =

n = n = × () n = −10 × 2 × () n = −10 × 2−1023 × () n = −1s × 2e−1023 × ( + ∑ b52-i 2-i )