8位浮点数能表示的所有小数

0 0-000-0000 0.0000×2-2 0.0 0.0 , Zero
1 0-000-0001 0.0001×2-2 0.000001 0.015625
2 0-000-0010 0.0010×2-2 0.00001 0.03125
3 0-000-0011 0.0011×2-2 0.000011 0.046875
4 0-000-0100 0.0100×2-2 0.0001 0.0625
5 0-000-0101 0.0101×2-2 0.000101 0.078125
6 0-000-0110 0.0110×2-2 0.00011 0.09375
7 0-000-0111 0.0111×2-2 0.000111 0.109375
8 0-000-1000 0.1000×2-2 0.001 0.125
9 0-000-1001 0.1001×2-2 0.001001 0.140625
10 0-000-1010 0.1010×2-2 0.00101 0.15625
11 0-000-1011 0.1011×2-2 0.001011 0.171875
12 0-000-1100 0.1100×2-2 0.0011 0.1875
13 0-000-1101 0.1101×2-2 0.001101 0.203125
14 0-000-1110 0.1110×2-2 0.00111 0.21875
15 0-000-1111 0.1111×2-2 0.001111 0.234375
16 0-001-0000 1.0000×2-2 0.01 0.25
17 0-001-0001 1.0001×2-2 0.010001 0.265625
18 0-001-0010 1.0010×2-2 0.01001 0.28125
19 0-001-0011 1.0011×2-2 0.010011 0.296875
20 0-001-0100 1.0100×2-2 0.0101 0.3125
21 0-001-0101 1.0101×2-2 0.010101 0.328125
22 0-001-0110 1.0110×2-2 0.01011 0.34375
23 0-001-0111 1.0111×2-2 0.010111 0.359375
24 0-001-1000 1.1000×2-2 0.011 0.375
25 0-001-1001 1.1001×2-2 0.011001 0.390625
26 0-001-1010 1.1010×2-2 0.01101 0.40625
27 0-001-1011 1.1011×2-2 0.011011 0.421875
28 0-001-1100 1.1100×2-2 0.0111 0.4375
29 0-001-1101 1.1101×2-2 0.011101 0.453125
30 0-001-1110 1.1110×2-2 0.01111 0.46875
31 0-001-1111 1.1111×2-2 0.011111 0.484375
32 0-010-0000 1.0000×2-1 0.1 0.5
33 0-010-0001 1.0001×2-1 0.10001 0.53125
34 0-010-0010 1.0010×2-1 0.1001 0.5625
35 0-010-0011 1.0011×2-1 0.10011 0.59375
36 0-010-0100 1.0100×2-1 0.101 0.625
37 0-010-0101 1.0101×2-1 0.10101 0.65625
38 0-010-0110 1.0110×2-1 0.1011 0.6875
39 0-010-0111 1.0111×2-1 0.10111 0.71875
40 0-010-1000 1.1000×2-1 0.11 0.75
41 0-010-1001 1.1001×2-1 0.11001 0.78125
42 0-010-1010 1.1010×2-1 0.1101 0.8125
43 0-010-1011 1.1011×2-1 0.11011 0.84375
44 0-010-1100 1.1100×2-1 0.111 0.875
45 0-010-1101 1.1101×2-1 0.11101 0.90625
46 0-010-1110 1.1110×2-1 0.1111 0.9375
47 0-010-1111 1.1111×2-1 0.11111 0.96875
48 0-011-0000 1.0000×20 1.0 1.0
49 0-011-0001 1.0001×20 1.0001 1.0625
50 0-011-0010 1.0010×20 1.001 1.125
51 0-011-0011 1.0011×20 1.0011 1.1875
52 0-011-0100 1.0100×20 1.01 1.25
53 0-011-0101 1.0101×20 1.0101 1.3125
54 0-011-0110 1.0110×20 1.011 1.375
55 0-011-0111 1.0111×20 1.0111 1.4375
56 0-011-1000 1.1000×20 1.1 1.5
57 0-011-1001 1.1001×20 1.1001 1.5625
58 0-011-1010 1.1010×20 1.101 1.625
59 0-011-1011 1.1011×20 1.1011 1.6875
60 0-011-1100 1.1100×20 1.11 1.75
61 0-011-1101 1.1101×20 1.1101 1.8125
62 0-011-1110 1.1110×20 1.111 1.875
63 0-011-1111 1.1111×20 1.1111 1.9375
64 0-100-0000 1.0000×21 10.0 2.0
65 0-100-0001 1.0001×21 10.001 2.125
66 0-100-0010 1.0010×21 10.01 2.25
67 0-100-0011 1.0011×21 10.011 2.375
68 0-100-0100 1.0100×21 10.1 2.5
69 0-100-0101 1.0101×21 10.101 2.625
70 0-100-0110 1.0110×21 10.11 2.75
71 0-100-0111 1.0111×21 10.111 2.875
72 0-100-1000 1.1000×21 11.0 3.0
73 0-100-1001 1.1001×21 11.001 3.125
74 0-100-1010 1.1010×21 11.01 3.25
75 0-100-1011 1.1011×21 11.011 3.375
76 0-100-1100 1.1100×21 11.1 3.5
77 0-100-1101 1.1101×21 11.101 3.625
78 0-100-1110 1.1110×21 11.11 3.75
79 0-100-1111 1.1111×21 11.111 3.875
80 0-101-0000 1.0000×22 100.0 4.0
81 0-101-0001 1.0001×22 100.01 4.25
82 0-101-0010 1.0010×22 100.1 4.5
83 0-101-0011 1.0011×22 100.11 4.75
84 0-101-0100 1.0100×22 101.0 5.0
85 0-101-0101 1.0101×22 101.01 5.25
86 0-101-0110 1.0110×22 101.1 5.5
87 0-101-0111 1.0111×22 101.11 5.75
88 0-101-1000 1.1000×22 110.0 6.0
89 0-101-1001 1.1001×22 110.01 6.25
90 0-101-1010 1.1010×22 110.1 6.5
91 0-101-1011 1.1011×22 110.11 6.75
92 0-101-1100 1.1100×22 111.0 7.0
93 0-101-1101 1.1101×22 111.01 7.25
94 0-101-1110 1.1110×22 111.1 7.5
95 0-101-1111 1.1111×22 111.11 7.75
96 0-110-0000 1.0000×23 1000.0 8.0
97 0-110-0001 1.0001×23 1000.1 8.5
98 0-110-0010 1.0010×23 1001.0 9.0
99 0-110-0011 1.0011×23 1001.1 9.5
100 0-110-0100 1.0100×23 1010.0 10.0
101 0-110-0101 1.0101×23 1010.1 10.5
102 0-110-0110 1.0110×23 1011.0 11.0
103 0-110-0111 1.0111×23 1011.1 11.5
104 0-110-1000 1.1000×23 1100.0 12.0
105 0-110-1001 1.1001×23 1100.1 12.5
106 0-110-1010 1.1010×23 1101.0 13.0
107 0-110-1011 1.1011×23 1101.1 13.5
108 0-110-1100 1.1100×23 1110.0 14.0
109 0-110-1101 1.1101×23 1110.1 14.5
110 0-110-1110 1.1110×23 1111.0 15.0
111 0-110-1111 1.1111×23 1111.1 15.5
112 0-111-0000 *********** ********* ********* Infinity
113 0-111-0001 *********** ********* ********* NaN
114 0-111-0010 *********** ********* ********* NaN
115 0-111-0011 *********** ********* ********* NaN
116 0-111-0100 *********** ********* ********* NaN
117 0-111-0101 *********** ********* ********* NaN
118 0-111-0110 *********** ********* ********* NaN
119 0-111-0111 *********** ********* ********* NaN
120 0-111-1000 *********** ********* ********* NaN
121 0-111-1001 *********** ********* ********* NaN
122 0-111-1010 *********** ********* ********* NaN
123 0-111-1011 *********** ********* ********* NaN
124 0-111-1100 *********** ********* ********* NaN
125 0-111-1101 *********** ********* ********* NaN
126 0-111-1110 *********** ********* ********* NaN
127 0-111-1111 *********** ********* ********* NaN
128 1-000-0000 -0.0000×2-2 -0.0 -0.0 , -Zero
129 1-000-0001 -0.0001×2-2 -0.000001 -0.015625
130 1-000-0010 -0.0010×2-2 -0.00001 -0.03125
131 1-000-0011 -0.0011×2-2 -0.000011 -0.046875
132 1-000-0100 -0.0100×2-2 -0.0001 -0.0625
133 1-000-0101 -0.0101×2-2 -0.000101 -0.078125
134 1-000-0110 -0.0110×2-2 -0.00011 -0.09375
135 1-000-0111 -0.0111×2-2 -0.000111 -0.109375
136 1-000-1000 -0.1000×2-2 -0.001 -0.125
137 1-000-1001 -0.1001×2-2 -0.001001 -0.140625
138 1-000-1010 -0.1010×2-2 -0.00101 -0.15625
139 1-000-1011 -0.1011×2-2 -0.001011 -0.171875
140 1-000-1100 -0.1100×2-2 -0.0011 -0.1875
141 1-000-1101 -0.1101×2-2 -0.001101 -0.203125
142 1-000-1110 -0.1110×2-2 -0.00111 -0.21875
143 1-000-1111 -0.1111×2-2 -0.001111 -0.234375
144 1-001-0000 -1.0000×2-2 -0.01 -0.25
145 1-001-0001 -1.0001×2-2 -0.010001 -0.265625
146 1-001-0010 -1.0010×2-2 -0.01001 -0.28125
147 1-001-0011 -1.0011×2-2 -0.010011 -0.296875
148 1-001-0100 -1.0100×2-2 -0.0101 -0.3125
149 1-001-0101 -1.0101×2-2 -0.010101 -0.328125
150 1-001-0110 -1.0110×2-2 -0.01011 -0.34375
151 1-001-0111 -1.0111×2-2 -0.010111 -0.359375
152 1-001-1000 -1.1000×2-2 -0.011 -0.375
153 1-001-1001 -1.1001×2-2 -0.011001 -0.390625
154 1-001-1010 -1.1010×2-2 -0.01101 -0.40625
155 1-001-1011 -1.1011×2-2 -0.011011 -0.421875
156 1-001-1100 -1.1100×2-2 -0.0111 -0.4375
157 1-001-1101 -1.1101×2-2 -0.011101 -0.453125
158 1-001-1110 -1.1110×2-2 -0.01111 -0.46875
159 1-001-1111 -1.1111×2-2 -0.011111 -0.484375
160 1-010-0000 -1.0000×2-1 -0.1 -0.5
161 1-010-0001 -1.0001×2-1 -0.10001 -0.53125
162 1-010-0010 -1.0010×2-1 -0.1001 -0.5625
163 1-010-0011 -1.0011×2-1 -0.10011 -0.59375
164 1-010-0100 -1.0100×2-1 -0.101 -0.625
165 1-010-0101 -1.0101×2-1 -0.10101 -0.65625
166 1-010-0110 -1.0110×2-1 -0.1011 -0.6875
167 1-010-0111 -1.0111×2-1 -0.10111 -0.71875
168 1-010-1000 -1.1000×2-1 -0.11 -0.75
169 1-010-1001 -1.1001×2-1 -0.11001 -0.78125
170 1-010-1010 -1.1010×2-1 -0.1101 -0.8125
171 1-010-1011 -1.1011×2-1 -0.11011 -0.84375
172 1-010-1100 -1.1100×2-1 -0.111 -0.875
173 1-010-1101 -1.1101×2-1 -0.11101 -0.90625
174 1-010-1110 -1.1110×2-1 -0.1111 -0.9375
175 1-010-1111 -1.1111×2-1 -0.11111 -0.96875
176 1-011-0000 -1.0000×20 -1.0 -1.0
177 1-011-0001 -1.0001×20 -1.0001 -1.0625
178 1-011-0010 -1.0010×20 -1.001 -1.125
179 1-011-0011 -1.0011×20 -1.0011 -1.1875
180 1-011-0100 -1.0100×20 -1.01 -1.25
181 1-011-0101 -1.0101×20 -1.0101 -1.3125
182 1-011-0110 -1.0110×20 -1.011 -1.375
183 1-011-0111 -1.0111×20 -1.0111 -1.4375
184 1-011-1000 -1.1000×20 -1.1 -1.5
185 1-011-1001 -1.1001×20 -1.1001 -1.5625
186 1-011-1010 -1.1010×20 -1.101 -1.625
187 1-011-1011 -1.1011×20 -1.1011 -1.6875
188 1-011-1100 -1.1100×20 -1.11 -1.75
189 1-011-1101 -1.1101×20 -1.1101 -1.8125
190 1-011-1110 -1.1110×20 -1.111 -1.875
191 1-011-1111 -1.1111×20 -1.1111 -1.9375
192 1-100-0000 -1.0000×21 -10.0 -2.0
193 1-100-0001 -1.0001×21 -10.001 -2.125
194 1-100-0010 -1.0010×21 -10.01 -2.25
195 1-100-0011 -1.0011×21 -10.011 -2.375
196 1-100-0100 -1.0100×21 -10.1 -2.5
197 1-100-0101 -1.0101×21 -10.101 -2.625
198 1-100-0110 -1.0110×21 -10.11 -2.75
199 1-100-0111 -1.0111×21 -10.111 -2.875
200 1-100-1000 -1.1000×21 -11.0 -3.0
201 1-100-1001 -1.1001×21 -11.001 -3.125
202 1-100-1010 -1.1010×21 -11.01 -3.25
203 1-100-1011 -1.1011×21 -11.011 -3.375
204 1-100-1100 -1.1100×21 -11.1 -3.5
205 1-100-1101 -1.1101×21 -11.101 -3.625
206 1-100-1110 -1.1110×21 -11.11 -3.75
207 1-100-1111 -1.1111×21 -11.111 -3.875
208 1-101-0000 -1.0000×22 -100.0 -4.0
209 1-101-0001 -1.0001×22 -100.01 -4.25
210 1-101-0010 -1.0010×22 -100.1 -4.5
211 1-101-0011 -1.0011×22 -100.11 -4.75
212 1-101-0100 -1.0100×22 -101.0 -5.0
213 1-101-0101 -1.0101×22 -101.01 -5.25
214 1-101-0110 -1.0110×22 -101.1 -5.5
215 1-101-0111 -1.0111×22 -101.11 -5.75
216 1-101-1000 -1.1000×22 -110.0 -6.0
217 1-101-1001 -1.1001×22 -110.01 -6.25
218 1-101-1010 -1.1010×22 -110.1 -6.5
219 1-101-1011 -1.1011×22 -110.11 -6.75
220 1-101-1100 -1.1100×22 -111.0 -7.0
221 1-101-1101 -1.1101×22 -111.01 -7.25
222 1-101-1110 -1.1110×22 -111.1 -7.5
223 1-101-1111 -1.1111×22 -111.11 -7.75
224 1-110-0000 -1.0000×23 -1000.0 -8.0
225 1-110-0001 -1.0001×23 -1000.1 -8.5
226 1-110-0010 -1.0010×23 -1001.0 -9.0
227 1-110-0011 -1.0011×23 -1001.1 -9.5
228 1-110-0100 -1.0100×23 -1010.0 -10.0
229 1-110-0101 -1.0101×23 -1010.1 -10.5
230 1-110-0110 -1.0110×23 -1011.0 -11.0
231 1-110-0111 -1.0111×23 -1011.1 -11.5
232 1-110-1000 -1.1000×23 -1100.0 -12.0
233 1-110-1001 -1.1001×23 -1100.1 -12.5
234 1-110-1010 -1.1010×23 -1101.0 -13.0
235 1-110-1011 -1.1011×23 -1101.1 -13.5
236 1-110-1100 -1.1100×23 -1110.0 -14.0
237 1-110-1101 -1.1101×23 -1110.1 -14.5
238 1-110-1110 -1.1110×23 -1111.0 -15.0
239 1-110-1111 -1.1111×23 -1111.1 -15.5
240 1-111-0000 *********** ********* ********* -Infinity
241 1-111-0001 *********** ********* ********* -NaN
242 1-111-0010 *********** ********* ********* -NaN
243 1-111-0011 *********** ********* ********* -NaN
244 1-111-0100 *********** ********* ********* -NaN
245 1-111-0101 *********** ********* ********* -NaN
246 1-111-0110 *********** ********* ********* -NaN
247 1-111-0111 *********** ********* ********* -NaN
248 1-111-1000 *********** ********* ********* -NaN
249 1-111-1001 *********** ********* ********* -NaN
250 1-111-1010 *********** ********* ********* -NaN
251 1-111-1011 *********** ********* ********* -NaN
252 1-111-1100 *********** ********* ********* -NaN
253 1-111-1101 *********** ********* ********* -NaN
254 1-111-1110 *********** ********* ********* -NaN
255 1-111-1111 *********** ********* ********* -NaN

nan

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