32bit Single Precision, the range of value

 

Range Name	Sign (s) 1 [31]	Exponent (e) 8 [30-23]	Mantissa (m) 23 [22-0]	Hexadecimal Range	Range	Decimal Range §
Quiet -NaN	1	11..11	11..11 : 10..01	FFFFFFFF : FFC00001
Indeterminate	1	11..11	10..00	FFC00000
Signaling -NaN	1	11..11	01..11 : 00..01	FFBFFFFF : FF800001
-Infinity (Negative Overflow)	1	11..11	00..00	FF800000	< -(2-2-23) × 2127	≤ -3.4028235677973365E+38
Negative Normalized -1.m × 2(e-127)	1	11..10 : 00..01	11..11 : 00..00	FF7FFFFF : 80800000	-(2-2-23) × 2127 : -2-126	-3.4028234663852886E+38 : -1.1754943508222875E-38
Negative Denormalized -0.m × 2(-126)	1	00..00	11..11 : 00..01	807FFFFF : 80000001	-(1-2-23) × 2-126 : -2-149 (-(1+2-52) × 2-150) *	-1.1754942106924411E-38 : -1.4012984643248170E-45 (-7.0064923216240862E-46) *
Negative Underflow	1	00..00	00..00	80000000	-2-150 : < -0	-7.0064923216240861E-46 : < -0
-0	1	00..00	00..00	80000000	-0	-0
+0	0	00..00	00..00	00000000	0	0
Positive Underflow	0	00..00	00..00	00000000	> 0 : 2-150	> 0 : 7.0064923216240861E-46
Positive Denormalized 0.m × 2(-126)	0	00..00	00..01 : 11..11	00000001 : 007FFFFF	((1+2-52) × 2-150) * 2-149 : (1-2-23) × 2-126	(7.0064923216240862E-46) * 1.4012984643248170E-45 : 1.1754942106924411E-38
Positive Normalized 1.m × 2(e-127)	0	00..01 : 11..10	00..00 : 11..11	00800000 : 7F7FFFFF	2-126 : (2-2-23) × 2127	1.1754943508222875E-38 : 3.4028234663852886E+38
+Infinity (Positive Overflow)	0	11..11	00..00	7F800000	> (2-2-23) × 2127	≥ 3.4028235677973365E+38
Signaling +NaN	0	11..11	00..01 : 01..11	7F800001 : 7FBFFFFF
Quiet +NaN	0	11..11	10..00 : 11..11	7FC00000 : 7FFFFFFF

^§ Your least significant digits may differ.

 

※ Reference website: http://babbage.cs.qc.edu/IEEE-754/References.xhtml