8位浮点数能表示的所有小数

Jean

发布于 2022-11-25 19:23:42

4780

发布于 2022-11-25 19:23:42

文章被收录于专栏：Web行业观察Web行业观察

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

本文参与腾讯云自媒体同步曝光计划，分享自微信公众号。

原始发表：2022-07-07，如有侵权请联系 cloudcommunity@tencent.com 删除

nan

本文分享自 WebHub 微信公众号，前往查看

如有侵权，请联系 cloudcommunity@tencent.com 删除。

本文参与腾讯云自媒体同步曝光计划，欢迎热爱写作的你一起参与！

nan

登录后参与评论

0 条评论

热度

8位浮点数能表示的所有小数

8位浮点数能表示的所有小数

社区

活动

资源

关于

腾讯云开发者

热门产品

热门推荐

更多推荐