ieee 754 - 1985 

Statements about this table:
the actual exponent of - ∞ be 128
the significand associate with a value of 1.0 be 000 0000 0000 0000 0000 0000
the value of negative infinity be nan
the significant of a value 1.0 be neither 000 0000 0000 0000 0000 0000 or 111 1111 1111 1111 1111 1111
type
actual exponent
exp (biased)
exponent field
significand (fraction field)
value
zero
127
0
0000 0000
000 0000 0000 0000 0000 0000
0.0
negative zero
127
0
0000 0000
000 0000 0000 0000 0000 0000
0.0
one
0
127
0111 1111
000 0000 0000 0000 0000 0000
1.0
minus one
0
127
0111 1111
000 0000 0000 0000 0000 0000
1.0
type
actual exponent
exp (biased)
exponent field
significand (fraction field)
value
smallest denormalized number
127
0
0000 0000
000 0000 0000 0000 0000 0001
±2 23 2 126 = ±2 149 ≈ ±1.4 10
middle denormalized number
127
0
0000 0000
100 0000 0000 0000 0000 0000
±2 1 2 126 = ±2 127 ≈ ±5.88 10
largest denormalized number
127
0
0000 0000
111 1111 1111 1111 1111 1111
± (12 23 ) 2 126 ≈ ±1.18 10
smallest normalized number
126
1
0000 0001
000 0000 0000 0000 0000 0000
±2 126 ≈ ±1.18 10
type
actual exponent
exp (biased)
exponent field
significand (fraction field)
value
largest normalized number
127
254
1111 1110
111 1111 1111 1111 1111 1111
± (22 23 ) 2 127 ≈ ±3.4 10
positive infinity
128
255
1111 1111
000 0000 0000 0000 0000 0000
+ ∞
negative infinity
128
255
1111 1111
000 0000 0000 0000 0000 0000
∞
not a number
128
255
1111 1111
non zero
n / a