Entropy = 7.981969 bits per byte. Optimum compression would reduce the size of this 10000 byte file by 0 percent. Chi square distribution for 10000 samples is 248.45, and randomly would exceed this value 50.00 percent of the times. Arithmetic mean value of data bytes is 126.1861 (127.5 = random). Monte Carlo value for Pi is 3.164465786 (error 0.73 percent). Serial correlation coefficient is -0.001802 (totally uncorrelated = 0.0). Value Char Occurrences Fraction 0 50 0.005000 1 38 0.003800 2 31 0.003100 3 45 0.004500 4 26 0.002600 5 41 0.004100 6 35 0.003500 7 47 0.004700 8 32 0.003200 9 43 0.004300 10 41 0.004100 11 49 0.004900 12 30 0.003000 13 48 0.004800 14 40 0.004000 15 33 0.003300 16 56 0.005600 17 34 0.003400 18 42 0.004200 19 41 0.004100 20 44 0.004400 21 34 0.003400 22 31 0.003100 23 31 0.003100 24 52 0.005200 25 27 0.002700 26 27 0.002700 27 37 0.003700 28 48 0.004800 29 36 0.003600 30 33 0.003300 31 38 0.003800 32 36 0.003600 33 ! 42 0.004200 34 " 57 0.005700 35 # 38 0.003800 36 $ 47 0.004700 37 % 38 0.003800 38 & 33 0.003300 39 ' 44 0.004400 40 ( 38 0.003800 41 ) 51 0.005100 42 * 42 0.004200 43 + 41 0.004100 44 , 44 0.004400 45 - 43 0.004300 46 . 45 0.004500 47 / 38 0.003800 48 0 41 0.004100 49 1 42 0.004200 50 2 44 0.004400 51 3 43 0.004300 52 4 45 0.004500 53 5 42 0.004200 54 6 41 0.004100 55 7 30 0.003000 56 8 44 0.004400 57 9 52 0.005200 58 : 30 0.003000 59 ; 35 0.003500 60 < 37 0.003700 61 = 46 0.004600 62 > 42 0.004200 63 ? 46 0.004600 64 @ 38 0.003800 65 A 35 0.003500 66 B 41 0.004100 67 C 38 0.003800 68 D 40 0.004000 69 E 43 0.004300 70 F 44 0.004400 71 G 38 0.003800 72 H 47 0.004700 73 I 35 0.003500 74 J 43 0.004300 75 K 30 0.003000 76 L 40 0.004000 77 M 34 0.003400 78 N 48 0.004800 79 O 47 0.004700 80 P 46 0.004600 81 Q 44 0.004400 82 R 46 0.004600 83 S 41 0.004100 84 T 37 0.003700 85 U 26 0.002600 86 V 38 0.003800 87 W 48 0.004800 88 X 40 0.004000 89 Y 38 0.003800 90 Z 32 0.003200 91 [ 39 0.003900 92 \ 40 0.004000 93 ] 47 0.004700 94 ^ 33 0.003300 95 _ 38 0.003800 96 ` 34 0.003400 97 a 33 0.003300 98 b 44 0.004400 99 c 46 0.004600 100 d 46 0.004600 101 e 44 0.004400 102 f 44 0.004400 103 g 43 0.004300 104 h 38 0.003800 105 i 36 0.003600 106 j 26 0.002600 107 k 39 0.003900 108 l 43 0.004300 109 m 39 0.003900 110 n 39 0.003900 111 o 48 0.004800 112 p 45 0.004500 113 q 32 0.003200 114 r 33 0.003300 115 s 40 0.004000 116 t 41 0.004100 117 u 37 0.003700 118 v 37 0.003700 119 w 45 0.004500 120 x 55 0.005500 121 y 39 0.003900 122 z 37 0.003700 123 { 35 0.003500 124 | 31 0.003100 125 } 45 0.004500 126 ~ 43 0.004300 127 34 0.003400 128 34 0.003400 129 30 0.003000 130 41 0.004100 131 42 0.004200 132 34 0.003400 133 30 0.003000 134 47 0.004700 135 37 0.003700 136 32 0.003200 137 40 0.004000 138 36 0.003600 139 25 0.002500 140 43 0.004300 141 31 0.003100 142 38 0.003800 143 37 0.003700 144 32 0.003200 145 47 0.004700 146 35 0.003500 147 36 0.003600 148 28 0.002800 149 44 0.004400 150 43 0.004300 151 38 0.003800 152 36 0.003600 153 35 0.003500 154 39 0.003900 155 35 0.003500 156 36 0.003600 157 32 0.003200 158 48 0.004800 159 38 0.003800 160 32 0.003200 161 ¡ 29 0.002900 162 ¢ 40 0.004000 163 £ 30 0.003000 164 ¤ 36 0.003600 165 ¥ 42 0.004200 166 ¦ 50 0.005000 167 § 40 0.004000 168 ¨ 51 0.005100 169 © 43 0.004300 170 ª 38 0.003800 171 « 36 0.003600 172 ¬ 46 0.004600 173 ­ 46 0.004600 174 ® 39 0.003900 175 ¯ 37 0.003700 176 ° 41 0.004100 177 ± 41 0.004100 178 ² 45 0.004500 179 ³ 40 0.004000 180 ´ 37 0.003700 181 µ 37 0.003700 182 ¶ 35 0.003500 183 · 41 0.004100 184 ¸ 42 0.004200 185 ¹ 39 0.003900 186 º 33 0.003300 187 » 33 0.003300 188 ¼ 34 0.003400 189 ½ 50 0.005000 190 ¾ 29 0.002900 191 ¿ 37 0.003700 192 À 32 0.003200 193 Á 39 0.003900 194 Â 34 0.003400 195 Ã 40 0.004000 196 Ä 42 0.004200 197 Å 43 0.004300 198 Æ 44 0.004400 199 Ç 43 0.004300 200 È 29 0.002900 201 É 46 0.004600 202 Ê 34 0.003400 203 Ë 36 0.003600 204 Ì 31 0.003100 205 Í 41 0.004100 206 Î 31 0.003100 207 Ï 28 0.002800 208 Ð 36 0.003600 209 Ñ 29 0.002900 210 Ò 38 0.003800 211 Ó 39 0.003900 212 Ô 37 0.003700 213 Õ 46 0.004600 214 Ö 50 0.005000 215 × 39 0.003900 216 Ø 43 0.004300 217 Ù 44 0.004400 218 Ú 44 0.004400 219 Û 29 0.002900 220 Ü 44 0.004400 221 Ý 33 0.003300 222 Þ 33 0.003300 223 ß 29 0.002900 224 à 40 0.004000 225 á 36 0.003600 226 â 33 0.003300 227 ã 40 0.004000 228 ä 37 0.003700 229 å 39 0.003900 230 æ 30 0.003000 231 ç 46 0.004600 232 è 42 0.004200 233 é 36 0.003600 234 ê 40 0.004000 235 ë 37 0.003700 236 ì 28 0.002800 237 í 42 0.004200 238 î 42 0.004200 239 ï 40 0.004000 240 ð 45 0.004500 241 ñ 44 0.004400 242 ò 36 0.003600 243 ó 49 0.004900 244 ô 31 0.003100 245 õ 44 0.004400 246 ö 37 0.003700 247 ÷ 38 0.003800 248 ø 42 0.004200 249 ù 39 0.003900 250 ú 35 0.003500 251 û 37 0.003700 252 ü 48 0.004800 253 ý 51 0.005100 254 þ 28 0.002800 255 ÿ 32 0.003200 Total: 10000 1.000000 Entropy = 7.981969 bits per byte. Optimum compression would reduce the size of this 10000 byte file by 0 percent. Chi square distribution for 10000 samples is 248.45, and randomly would exceed this value 50.00 percent of the times. Arithmetic mean value of data bytes is 126.1861 (127.5 = random). Monte Carlo value for Pi is 3.164465786 (error 0.73 percent). Serial correlation coefficient is -0.001802 (totally uncorrelated = 0.0). Value Char Occurrences Fraction 0 50 0.005000 1 38 0.003800 2 31 0.003100 3 45 0.004500 4 26 0.002600 5 41 0.004100 6 35 0.003500 7 47 0.004700 8 32 0.003200 9 43 0.004300 10 41 0.004100 11 49 0.004900 12 30 0.003000 13 48 0.004800 14 40 0.004000 15 33 0.003300 16 56 0.005600 17 34 0.003400 18 42 0.004200 19 41 0.004100 20 44 0.004400 21 34 0.003400 22 31 0.003100 23 31 0.003100 24 52 0.005200 25 27 0.002700 26 27 0.002700 27 37 0.003700 28 48 0.004800 29 36 0.003600 30 33 0.003300 31 38 0.003800 32 36 0.003600 33 ! 42 0.004200 34 " 57 0.005700 35 # 38 0.003800 36 $ 47 0.004700 37 % 38 0.003800 38 & 33 0.003300 39 ' 44 0.004400 40 ( 38 0.003800 41 ) 51 0.005100 42 * 42 0.004200 43 + 41 0.004100 44 , 44 0.004400 45 - 43 0.004300 46 . 45 0.004500 47 / 38 0.003800 48 0 41 0.004100 49 1 42 0.004200 50 2 44 0.004400 51 3 43 0.004300 52 4 45 0.004500 53 5 42 0.004200 54 6 41 0.004100 55 7 30 0.003000 56 8 44 0.004400 57 9 52 0.005200 58 : 30 0.003000 59 ; 35 0.003500 60 < 37 0.003700 61 = 46 0.004600 62 > 42 0.004200 63 ? 46 0.004600 64 @ 38 0.003800 91 [ 39 0.003900 92 \ 40 0.004000 93 ] 47 0.004700 94 ^ 33 0.003300 95 _ 38 0.003800 96 ` 34 0.003400 97 a 68 0.006800 98 b 85 0.008500 99 c 84 0.008400 100 d 86 0.008600 101 e 87 0.008700 102 f 88 0.008800 103 g 81 0.008100 104 h 85 0.008500 105 i 71 0.007100 106 j 69 0.006900 107 k 69 0.006900 108 l 83 0.008300 109 m 73 0.007300 110 n 87 0.008700 111 o 95 0.009500 112 p 91 0.009100 113 q 76 0.007600 114 r 79 0.007900 115 s 81 0.008100 116 t 78 0.007800 117 u 63 0.006300 118 v 75 0.007500 119 w 93 0.009300 120 x 95 0.009500 121 y 77 0.007700 122 z 69 0.006900 123 { 35 0.003500 124 | 31 0.003100 125 } 45 0.004500 126 ~ 43 0.004300 127 34 0.003400 128 34 0.003400 129 30 0.003000 130 41 0.004100 131 42 0.004200 132 34 0.003400 133 30 0.003000 134 47 0.004700 135 37 0.003700 136 32 0.003200 137 40 0.004000 138 36 0.003600 139 25 0.002500 140 43 0.004300 141 31 0.003100 142 38 0.003800 143 37 0.003700 144 32 0.003200 145 47 0.004700 146 35 0.003500 147 36 0.003600 148 28 0.002800 149 44 0.004400 150 43 0.004300 151 38 0.003800 152 36 0.003600 153 35 0.003500 154 39 0.003900 155 35 0.003500 156 36 0.003600 157 32 0.003200 158 48 0.004800 159 38 0.003800 160 32 0.003200 161 ¡ 29 0.002900 162 ¢ 40 0.004000 163 £ 30 0.003000 164 ¤ 36 0.003600 165 ¥ 42 0.004200 166 ¦ 50 0.005000 167 § 40 0.004000 168 ¨ 51 0.005100 169 © 43 0.004300 170 ª 38 0.003800 171 « 36 0.003600 172 ¬ 46 0.004600 173 ­ 46 0.004600 174 ® 39 0.003900 175 ¯ 37 0.003700 176 ° 41 0.004100 177 ± 41 0.004100 178 ² 45 0.004500 179 ³ 40 0.004000 180 ´ 37 0.003700 181 µ 37 0.003700 182 ¶ 35 0.003500 183 · 41 0.004100 184 ¸ 42 0.004200 185 ¹ 39 0.003900 186 º 33 0.003300 187 » 33 0.003300 188 ¼ 34 0.003400 189 ½ 50 0.005000 190 ¾ 29 0.002900 191 ¿ 37 0.003700 215 × 39 0.003900 223 ß 29 0.002900 224 à 72 0.007200 225 á 75 0.007500 226 â 67 0.006700 227 ã 80 0.008000 228 ä 79 0.007900 229 å 82 0.008200 230 æ 74 0.007400 231 ç 89 0.008900 232 è 71 0.007100 233 é 82 0.008200 234 ê 74 0.007400 235 ë 73 0.007300 236 ì 59 0.005900 237 í 83 0.008300 238 î 73 0.007300 239 ï 68 0.006800 240 ð 81 0.008100 241 ñ 73 0.007300 242 ò 74 0.007400 243 ó 88 0.008800 244 ô 68 0.006800 245 õ 90 0.009000 246 ö 87 0.008700 247 ÷ 38 0.003800 248 ø 85 0.008500 249 ù 83 0.008300 250 ú 79 0.007900 251 û 66 0.006600 252 ü 92 0.009200 253 ý 84 0.008400 254 þ 61 0.006100 255 ÿ 32 0.003200 Total: 10000 1.000000 Entropy = 7.545251 bits per byte. Optimum compression would reduce the size of this 10000 byte file by 5 percent. Chi square distribution for 10000 samples is 4683.75, and randomly would exceed this value 0.01 percent of the times. Arithmetic mean value of data bytes is 133.1525 (127.5 = random). Monte Carlo value for Pi is 2.857142857 (error 9.05 percent). Serial correlation coefficient is -0.000674 (totally uncorrelated = 0.0). Entropy = 0.999994 bits per bit. Optimum compression would reduce the size of this 80000 bit file by 0 percent. Chi square distribution for 80000 samples is 0.65, and randomly would exceed this value 50.00 percent of the times. Arithmetic mean value of data bits is 0.4986 (0.5 = random). Monte Carlo value for Pi is 3.164465786 (error 0.73 percent). Serial correlation coefficient is 0.000792 (totally uncorrelated = 0.0). Value Char Occurrences Fraction 0 40114 0.501425 1 39886 0.498575 Total: 80000 1.000000 Entropy = 0.999994 bits per bit. Optimum compression would reduce the size of this 80000 bit file by 0 percent. Chi square distribution for 80000 samples is 0.65, and randomly would exceed this value 50.00 percent of the times. Arithmetic mean value of data bits is 0.4986 (0.5 = random). Monte Carlo value for Pi is 3.164465786 (error 0.73 percent). Serial correlation coefficient is 0.000792 (totally uncorrelated = 0.0). 0,File-bytes,Entropy,Chi-square,Mean,Monte-Carlo-Pi,Serial-Correlation 1,10000,7.981969,248.448000,126.186100,3.164466,-0.001802 0,File-bytes,Entropy,Chi-square,Mean,Monte-Carlo-Pi,Serial-Correlation 1,10000,7.981969,248.448000,126.186100,3.164466,-0.001802 2,Value,Occurrences,Fraction 3,0,50,0.005000 3,1,38,0.003800 3,2,31,0.003100 3,3,45,0.004500 3,4,26,0.002600 3,5,41,0.004100 3,6,35,0.003500 3,7,47,0.004700 3,8,32,0.003200 3,9,43,0.004300 3,10,41,0.004100 3,11,49,0.004900 3,12,30,0.003000 3,13,48,0.004800 3,14,40,0.004000 3,15,33,0.003300 3,16,56,0.005600 3,17,34,0.003400 3,18,42,0.004200 3,19,41,0.004100 3,20,44,0.004400 3,21,34,0.003400 3,22,31,0.003100 3,23,31,0.003100 3,24,52,0.005200 3,25,27,0.002700 3,26,27,0.002700 3,27,37,0.003700 3,28,48,0.004800 3,29,36,0.003600 3,30,33,0.003300 3,31,38,0.003800 3,32,36,0.003600 3,33,42,0.004200 3,34,57,0.005700 3,35,38,0.003800 3,36,47,0.004700 3,37,38,0.003800 3,38,33,0.003300 3,39,44,0.004400 3,40,38,0.003800 3,41,51,0.005100 3,42,42,0.004200 3,43,41,0.004100 3,44,44,0.004400 3,45,43,0.004300 3,46,45,0.004500 3,47,38,0.003800 3,48,41,0.004100 3,49,42,0.004200 3,50,44,0.004400 3,51,43,0.004300 3,52,45,0.004500 3,53,42,0.004200 3,54,41,0.004100 3,55,30,0.003000 3,56,44,0.004400 3,57,52,0.005200 3,58,30,0.003000 3,59,35,0.003500 3,60,37,0.003700 3,61,46,0.004600 3,62,42,0.004200 3,63,46,0.004600 3,64,38,0.003800 3,65,35,0.003500 3,66,41,0.004100 3,67,38,0.003800 3,68,40,0.004000 3,69,43,0.004300 3,70,44,0.004400 3,71,38,0.003800 3,72,47,0.004700 3,73,35,0.003500 3,74,43,0.004300 3,75,30,0.003000 3,76,40,0.004000 3,77,34,0.003400 3,78,48,0.004800 3,79,47,0.004700 3,80,46,0.004600 3,81,44,0.004400 3,82,46,0.004600 3,83,41,0.004100 3,84,37,0.003700 3,85,26,0.002600 3,86,38,0.003800 3,87,48,0.004800 3,88,40,0.004000 3,89,38,0.003800 3,90,32,0.003200 3,91,39,0.003900 3,92,40,0.004000 3,93,47,0.004700 3,94,33,0.003300 3,95,38,0.003800 3,96,34,0.003400 3,97,33,0.003300 3,98,44,0.004400 3,99,46,0.004600 3,100,46,0.004600 3,101,44,0.004400 3,102,44,0.004400 3,103,43,0.004300 3,104,38,0.003800 3,105,36,0.003600 3,106,26,0.002600 3,107,39,0.003900 3,108,43,0.004300 3,109,39,0.003900 3,110,39,0.003900 3,111,48,0.004800 3,112,45,0.004500 3,113,32,0.003200 3,114,33,0.003300 3,115,40,0.004000 3,116,41,0.004100 3,117,37,0.003700 3,118,37,0.003700 3,119,45,0.004500 3,120,55,0.005500 3,121,39,0.003900 3,122,37,0.003700 3,123,35,0.003500 3,124,31,0.003100 3,125,45,0.004500 3,126,43,0.004300 3,127,34,0.003400 3,128,34,0.003400 3,129,30,0.003000 3,130,41,0.004100 3,131,42,0.004200 3,132,34,0.003400 3,133,30,0.003000 3,134,47,0.004700 3,135,37,0.003700 3,136,32,0.003200 3,137,40,0.004000 3,138,36,0.003600 3,139,25,0.002500 3,140,43,0.004300 3,141,31,0.003100 3,142,38,0.003800 3,143,37,0.003700 3,144,32,0.003200 3,145,47,0.004700 3,146,35,0.003500 3,147,36,0.003600 3,148,28,0.002800 3,149,44,0.004400 3,150,43,0.004300 3,151,38,0.003800 3,152,36,0.003600 3,153,35,0.003500 3,154,39,0.003900 3,155,35,0.003500 3,156,36,0.003600 3,157,32,0.003200 3,158,48,0.004800 3,159,38,0.003800 3,160,32,0.003200 3,161,29,0.002900 3,162,40,0.004000 3,163,30,0.003000 3,164,36,0.003600 3,165,42,0.004200 3,166,50,0.005000 3,167,40,0.004000 3,168,51,0.005100 3,169,43,0.004300 3,170,38,0.003800 3,171,36,0.003600 3,172,46,0.004600 3,173,46,0.004600 3,174,39,0.003900 3,175,37,0.003700 3,176,41,0.004100 3,177,41,0.004100 3,178,45,0.004500 3,179,40,0.004000 3,180,37,0.003700 3,181,37,0.003700 3,182,35,0.003500 3,183,41,0.004100 3,184,42,0.004200 3,185,39,0.003900 3,186,33,0.003300 3,187,33,0.003300 3,188,34,0.003400 3,189,50,0.005000 3,190,29,0.002900 3,191,37,0.003700 3,192,32,0.003200 3,193,39,0.003900 3,194,34,0.003400 3,195,40,0.004000 3,196,42,0.004200 3,197,43,0.004300 3,198,44,0.004400 3,199,43,0.004300 3,200,29,0.002900 3,201,46,0.004600 3,202,34,0.003400 3,203,36,0.003600 3,204,31,0.003100 3,205,41,0.004100 3,206,31,0.003100 3,207,28,0.002800 3,208,36,0.003600 3,209,29,0.002900 3,210,38,0.003800 3,211,39,0.003900 3,212,37,0.003700 3,213,46,0.004600 3,214,50,0.005000 3,215,39,0.003900 3,216,43,0.004300 3,217,44,0.004400 3,218,44,0.004400 3,219,29,0.002900 3,220,44,0.004400 3,221,33,0.003300 3,222,33,0.003300 3,223,29,0.002900 3,224,40,0.004000 3,225,36,0.003600 3,226,33,0.003300 3,227,40,0.004000 3,228,37,0.003700 3,229,39,0.003900 3,230,30,0.003000 3,231,46,0.004600 3,232,42,0.004200 3,233,36,0.003600 3,234,40,0.004000 3,235,37,0.003700 3,236,28,0.002800 3,237,42,0.004200 3,238,42,0.004200 3,239,40,0.004000 3,240,45,0.004500 3,241,44,0.004400 3,242,36,0.003600 3,243,49,0.004900 3,244,31,0.003100 3,245,44,0.004400 3,246,37,0.003700 3,247,38,0.003800 3,248,42,0.004200 3,249,39,0.003900 3,250,35,0.003500 3,251,37,0.003700 3,252,48,0.004800 3,253,51,0.005100 3,254,28,0.002800 3,255,32,0.003200 0,File-bytes,Entropy,Chi-square,Mean,Monte-Carlo-Pi,Serial-Correlation 1,10000,7.545251,4683.750400,133.152500,2.857143,-0.000674 0,File-bits,Entropy,Chi-square,Mean,Monte-Carlo-Pi,Serial-Correlation 1,80000,0.999994,0.649800,0.498575,3.164466,0.000792 0,File-bits,Entropy,Chi-square,Mean,Monte-Carlo-Pi,Serial-Correlation 1,80000,0.999994,0.649800,0.498575,3.164466,0.000792 2,Value,Occurrences,Fraction 3,0,40114,0.501425 3,1,39886,0.498575