جدول القواعد

| العدد | القاعدة= 2 | 3 | 4 | 5 | 6 | العدد | 7 | 8 | 9 | 10 | 11 | العدد | 12 | 13 | 14 | 15 | 16 | العدد | 17 | 18 | 19 | 20 |
| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |
| 1 | 12 | 13 | 14 | 15 | 16 | ع=1 | 17 | 18 | 19 | 110 | 111 | ع=1 | 112 | 113 | 114 | 115 | 116 | ع=1 | 117 | 118 | 119 | 120 |
| 2 | 102 | 23 | 24 | 25 | 26 | n=2 | 27 | 28 | 29 | 210 | 211 | n=2 | 212 | 213 | 214 | 215 | 216 | n=2 | 217 | 218 | 219 | 220 |
| 3 | 112 | 103 | 34 | 35 | 36 | n=3 | 37 | 38 | 39 | 310 | 311 | n=3 | 312 | 313 | 314 | 315 | 316 | n=3 | 317 | 318 | 319 | 320 |
| 4 | 1002 | 113 | 104 | 45 | 46 | ع=4 | 47 | 48 | 49 | 410 | 411 | n=4 | 412 | 413 | 414 | 415 | 416 | n=4 | 417 | 418 | 419 | 420 |
| 5 | 1012 | 123 | 114 | 105 | 56 | n=5 | 57 | 58 | 59 | 510 | 511 | n=5 | 512 | 513 | 514 | 515 | 516 | n=5 | 517 | 518 | 519 | 520 |
| 6 | 1102 | 203 | 124 | 115 | 106 | n=6 | 67 | 68 | 69 | 610 | 611 | n=6 | 612 | 613 | 614 | 615 | 616 | n=6 | 617 | 618 | 619 | 620 |
| 7 | 1112 | 213 | 134 | 125 | 116 | n=7 | 107 | 78 | 79 | 710 | 711 | n=7 | 712 | 713 | 714 | 715 | 716 | n=7 | 717 | 718 | 719 | 720 |
| 8 | 10002 | 223 | 204 | 135 | 126 | n=8 | 117 | 108 | 89 | 810 | 811 | n=8 | 812 | 813 | 814 | 815 | 816 | n=8 | 817 | 818 | 819 | 820 |
| 9 | 10012 | 1003 | 214 | 145 | 136 | n=9 | 127 | 118 | 109 | 910 | 911 | n=9 | 912 | 913 | 914 | 915 | 916 | n=9 | 917 | 918 | 919 | 920 |
| 10 | 10102 | 1013 | 224 | 205 | 146 | n=10 | 137 | 128 | 119 | 1010 | a11 | n=10 | a12 | a13 | a14 | a15 | a16 | n=10 | a17 | a18 | a19 | a20 |
| 11 | 10112 | 1023 | 234 | 215 | 156 | n=11 | 147 | 138 | 129 | 1110 | 1011 | n=11 | b12 | b13 | b14 | b15 | b16 | n=11 | b17 | b18 | b19 | b20 |
| 12 | 11002 | 1103 | 304 | 225 | 206 | n=12 | 157 | 148 | 139 | 1210 | 1111 | n=12 | 1012 | c13 | c14 | c15 | c16 | n=12 | c17 | c18 | c19 | c20 |
| 13 | 11012 | 1113 | 314 | 235 | 216 | n=13 | 167 | 158 | 149 | 1310 | 1211 | n=13 | 1112 | 1013 | d14 | d15 | d16 | n=13 | d17 | d18 | d19 | d20 |
| 14 | 11102 | 1123 | 324 | 245 | 226 | n=14 | 207 | 168 | 159 | 1410 | 1311 | n=14 | 1212 | 1113 | 1014 | e15 | e16 | n=14 | e17 | e18 | e19 | e20 |
| 15 | 11112 | 1203 | 334 | 305 | 236 | n=15 | 217 | 178 | 169 | 1510 | 1411 | n=15 | 1312 | 1213 | 1114 | 1015 | f16 | n=15 | f17 | f18 | f19 | f20 |
| 16 | 100002 | 1213 | 1004 | 315 | 246 | n=16 | 227 | 208 | 179 | 1610 | 1511 | n=16 | 1412 | 1313 | 1214 | 1115 | 1016 | n=16 | g17 | g18 | g19 | g20 |
| 17 | 100012 | 1223 | 1014 | 325 | 256 | n=17 | 237 | 218 | 189 | 1710 | 1611 | n=17 | 1512 | 1413 | 1314 | 1215 | 1116 | n=17 | 1017 | h18 | h19 | h20 |
| 18 | 100102 | 2003 | 1024 | 335 | 306 | n=18 | 247 | 228 | 209 | 1810 | 1711 | n=18 | 1612 | 1513 | 1414 | 1315 | 1216 | n=18 | 1117 | 1018 | i19 | i20 |
| 19 | 100112 | 2013 | 1034 | 345 | 316 | n=19 | 257 | 238 | 219 | 1910 | 1811 | n=19 | 1712 | 1613 | 1514 | 1415 | 1316 | n=19 | 1217 | 1118 | 1019 | j20 |
| 20 | 101002 | 2023 | 1104 | 405 | 326 | n=20 | 267 | 248 | 229 | 2010 | 1911 | n=20 | 1812 | 1713 | 1614 | 1515 | 1416 | n=20 | 1317 | 1218 | 1119 | 1020 |
| 21 | 101012 | 2103 | 1114 | 415 | 336 | n=21 | 307 | 258 | 239 | 2110 | 1a11 | n=21 | 1912 | 1813 | 1714 | 1615 | 1516 | n=21 | 1417 | 1318 | 1219 | 1120 |
| 22 | 101102 | 2113 | 1124 | 425 | 346 | n=22 | 317 | 268 | 249 | 2210 | 2011 | n=22 | 1a12 | 1913 | 1814 | 1715 | 1616 | n=22 | 1517 | 1418 | 1319 | 1220 |
| 23 | 101112 | 2123 | 1134 | 435 | 356 | n=23 | 327 | 278 | 259 | 2310 | 2111 | n=23 | 1b12 | 1a13 | 1914 | 1815 | 1716 | n=23 | 1617 | 1518 | 1419 | 1320 |
| 24 | 110002 | 2203 | 1204 | 445 | 406 | n=24 | 337 | 308 | 269 | 2410 | 2211 | n=24 | 2012 | 1b13 | 1a14 | 1915 | 1816 | n=24 | 1717 | 1618 | 1519 | 1420 |
| 25 | 110012 | 2213 | 1214 | 1005 | 416 | n=25 | 347 | 318 | 279 | 2510 | 2311 | n=25 | 2112 | 1c13 | 1b14 | 1a15 | 1916 | n=25 | 1817 | 1718 | 1619 | 1520 |
| 26 | 110102 | 2223 | 1224 | 1015 | 426 | n=26 | 357 | 328 | 289 | 2610 | 2411 | n=26 | 2212 | 2013 | 1c14 | 1b15 | 1a16 | n=26 | 1917 | 1818 | 1719 | 1620 |
| 27 | 110112 | 10003 | 1234 | 1025 | 436 | n=27 | 367 | 338 | 309 | 2710 | 2511 | n=27 | 2312 | 2113 | 1d14 | 1c15 | 1b16 | n=27 | 1a17 | 1918 | 1819 | 1720 |
| 28 | 111002 | 10013 | 1304 | 1035 | 446 | n=28 | 407 | 348 | 319 | 2810 | 2611 | n=28 | 2412 | 2213 | 2014 | 1d15 | 1c16 | n=28 | 1b17 | 1a18 | 1919 | 1820 |
| 29 | 111012 | 10023 | 1314 | 1045 | 456 | n=29 | 417 | 358 | 329 | 2910 | 2711 | n=29 | 2512 | 2313 | 2114 | 1e15 | 1d16 | n=29 | 1c17 | 1b18 | 1a19 | 1920 |
| 30 | 111102 | 10103 | 1324 | 1105 | 506 | n=30 | 427 | 368 | 339 | 3010 | 2811 | n=30 | 2612 | 2413 | 2214 | 2015 | 1e16 | n=30 | 1d17 | 1c18 | 1b19 | 1a20 |
| 31 | 111112 | 10113 | 1334 | 1115 | 516 | n=31 | 437 | 378 | 349 | 3110 | 2911 | n=31 | 2712 | 2513 | 2314 | 2115 | 1f16 | n=31 | 1e17 | 1d18 | 1c19 | 1b20 |
| 32 | 1000002 | 10123 | 2004 | 1125 | 526 | n=32 | 447 | 408 | 359 | 3210 | 2a11 | n=32 | 2812 | 2613 | 2414 | 2215 | 2016 | n=32 | 1f17 | 1e18 | 1d19 | 1c20 |
| 33 | 1000012 | 10203 | 2014 | 1135 | 536 | n=33 | 457 | 418 | 369 | 3310 | 3011 | n=33 | 2912 | 2713 | 2514 | 2315 | 2116 | n=33 | 1g17 | 1f18 | 1e19 | 1d20 |
| 34 | 1000102 | 10213 | 2024 | 1145 | 546 | n=34 | 467 | 428 | 379 | 3410 | 3111 | n=34 | 2a12 | 2813 | 2614 | 2415 | 2216 | n=34 | 2017 | 1g18 | 1f19 | 1e20 |
| 35 | 1000112 | 10223 | 2034 | 1205 | 556 | n=35 | 507 | 438 | 389 | 3510 | 3211 | n=35 | 2b12 | 2913 | 2714 | 2515 | 2316 | n=35 | 2117 | 1h18 | 1g19 | 1f20 |
| 36 | 1001002 | 11003 | 2104 | 1215 | 1006 | n=36 | 517 | 448 | 409 | 3610 | 3311 | n=36 | 3012 | 2a13 | 2814 | 2615 | 2416 | n=36 | 2217 | 2018 | 1h19 | 1g20 |
| 37 | 1001012 | 11013 | 2114 | 1225 | 1016 | n=37 | 527 | 458 | 419 | 3710 | 3411 | n=37 | 3112 | 2b13 | 2914 | 2715 | 2516 | n=37 | 2317 | 2118 | 1i19 | 1h20 |
| 38 | 1001102 | 11023 | 2124 | 1235 | 1026 | n=38 | 537 | 468 | 429 | 3810 | 3511 | n=38 | 3212 | 2c13 | 2a14 | 2815 | 2616 | n=38 | 2417 | 2218 | 2019 | 1i20 |
| 39 | 1001112 | 11103 | 2134 | 1245 | 1036 | n=39 | 547 | 478 | 439 | 3910 | 3611 | n=39 | 3312 | 3013 | 2b14 | 2915 | 2716 | n=39 | 2517 | 2318 | 2119 | 1j20 |
| 40 | 1010002 | 11113 | 2204 | 1305 | 1046 | n=40 | 557 | 508 | 449 | 4010 | 3711 | n=40 | 3412 | 3113 | 2c14 | 2a15 | 2816 | n=40 | 2617 | 2418 | 2219 | 2020 |
| 41 | 1010012 | 11123 | 2214 | 1315 | 1056 | n=41 | 567 | 518 | 459 | 4110 | 3811 | n=41 | 3512 | 3213 | 2d14 | 2b15 | 2916 | n=41 | 2717 | 2518 | 2319 | 2120 |
| 42 | 1010102 | 11203 | 2224 | 1325 | 1106 | n=42 | 607 | 528 | 469 | 4210 | 3911 | n=42 | 3612 | 3313 | 3014 | 2c15 | 2a16 | n=42 | 2817 | 2618 | 2419 | 2220 |
| 43 | 1010112 | 11213 | 2234 | 1335 | 1116 | n=43 | 617 | 538 | 479 | 4310 | 3a11 | n=43 | 3712 | 3413 | 3114 | 2d15 | 2b16 | n=43 | 2917 | 2718 | 2519 | 2320 |
| 44 | 1011002 | 11223 | 2304 | 1345 | 1126 | n=44 | 627 | 548 | 489 | 4410 | 4011 | n=44 | 3812 | 3513 | 3214 | 2e15 | 2c16 | n=44 | 2a17 | 2818 | 2619 | 2420 |
| 45 | 1011012 | 12003 | 2314 | 1405 | 1136 | n=45 | 637 | 558 | 509 | 4510 | 4111 | n=45 | 3912 | 3613 | 3314 | 3015 | 2d16 | n=45 | 2b17 | 2918 | 2719 | 2520 |
| 46 | 1011102 | 12013 | 2324 | 1415 | 1146 | n=46 | 647 | 568 | 519 | 4610 | 4211 | n=46 | 3a12 | 3713 | 3414 | 3115 | 2e16 | n=46 | 2c17 | 2a18 | 2819 | 2620 |
| 47 | 1011112 | 12023 | 2334 | 1425 | 1156 | n=47 | 657 | 578 | 529 | 4710 | 4311 | n=47 | 3b12 | 3813 | 3514 | 3215 | 2f16 | n=47 | 2d17 | 2b18 | 2919 | 2720 |
| 48 | 1100002 | 12103 | 3004 | 1435 | 1206 | n=48 | 667 | 608 | 539 | 4810 | 4411 | n=48 | 4012 | 3913 | 3614 | 3315 | 3016 | n=48 | 2e17 | 2c18 | 2a19 | 2820 |
| 49 | 1100012 | 12113 | 3014 | 1445 | 1216 | n=49 | 1007 | 618 | 549 | 4910 | 4511 | n=49 | 4112 | 3a13 | 3714 | 3415 | 3116 | n=49 | 2f17 | 2d18 | 2b19 | 2920 |
| 50 | 1100102 | 12123 | 3024 | 2005 | 1226 | n=50 | 1017 | 628 | 559 | 5010 | 4611 | n=50 | 4212 | 3b13 | 3814 | 3515 | 3216 | n=50 | 2g17 | 2e18 | 2c19 | 2a20 |
| 51 | 1100112 | 12203 | 3034 | 2015 | 1236 | n=51 | 1027 | 638 | 569 | 5110 | 4711 | n=51 | 4312 | 3c13 | 3914 | 3615 | 3316 | n=51 | 3017 | 2f18 | 2d19 | 2b20 |
| 52 | 1101002 | 12213 | 3104 | 2025 | 1246 | n=52 | 1037 | 648 | 579 | 5210 | 4811 | n=52 | 4412 | 4013 | 3a14 | 3715 | 3416 | n=52 | 3117 | 2g18 | 2e19 | 2c20 |
| 53 | 1101012 | 12223 | 3114 | 2035 | 1256 | n=53 | 1047 | 658 | 589 | 5310 | 4911 | n=53 | 4512 | 4113 | 3b14 | 3815 | 3516 | n=53 | 3217 | 2h18 | 2f19 | 2d20 |
| 54 | 1101102 | 20003 | 3124 | 2045 | 1306 | n=54 | 1057 | 668 | 609 | 5410 | 4a11 | n=54 | 4612 | 4213 | 3c14 | 3915 | 3616 | n=54 | 3317 | 3018 | 2g19 | 2e20 |
| 55 | 1101112 | 20013 | 3134 | 2105 | 1316 | n=55 | 1067 | 678 | 619 | 5510 | 5011 | n=55 | 4712 | 4313 | 3d14 | 3a15 | 3716 | n=55 | 3417 | 3118 | 2h19 | 2f20 |
| 56 | 1110002 | 20023 | 3204 | 2115 | 1326 | n=56 | 1107 | 708 | 629 | 5610 | 5111 | n=56 | 4812 | 4413 | 4014 | 3b15 | 3816 | n=56 | 3517 | 3218 | 2i19 | 2g20 |
| 57 | 1110012 | 20103 | 3214 | 2125 | 1336 | n=57 | 1117 | 718 | 639 | 5710 | 5211 | n=57 | 4912 | 4513 | 4114 | 3c15 | 3916 | n=57 | 3617 | 3318 | 3019 | 2h20 |
| 58 | 1110102 | 20113 | 3224 | 2135 | 1346 | n=58 | 1127 | 728 | 649 | 5810 | 5311 | n=58 | 4a12 | 4613 | 4214 | 3d15 | 3a16 | n=58 | 3717 | 3418 | 3119 | 2i20 |
| 59 | 1110112 | 20123 | 3234 | 2145 | 1356 | n=59 | 1137 | 738 | 659 | 5910 | 5411 | n=59 | 4b12 | 4713 | 4314 | 3e15 | 3b16 | n=59 | 3817 | 3518 | 3219 | 2j20 |
| 60 | 1111002 | 20203 | 3304 | 2205 | 1406 | n=60 | 1147 | 748 | 669 | 6010 | 5511 | n=60 | 5012 | 4813 | 4414 | 4015 | 3c16 | n=60 | 3917 | 3618 | 3319 | 3020 |
| 61 | 1111012 | 20213 | 3314 | 2215 | 1416 | n=61 | 1157 | 758 | 679 | 6110 | 5611 | n=61 | 5112 | 4913 | 4514 | 4115 | 3d16 | n=61 | 3a17 | 3718 | 3419 | 3120 |
| 62 | 1111102 | 20223 | 3324 | 2225 | 1426 | n=62 | 1167 | 768 | 689 | 6210 | 5711 | ع=62 | 5212 | 4a13 | 4614 | 4215 | 3e16 | n=62 | 3b17 | 3818 | 3519 | 3220 |
| 63 | 1111112 | 21003 | 3334 | 2235 | 1436 | n=63 | 1207 | 778 | 709 | 6310 | 5811 | n=63 | 5312 | 4b13 | 4714 | 4315 | 3f16 | n=63 | 3c17 | 3918 | 3619 | 3320 |
| 64 | 10000002 | 21013 | 10004 | 2245 | 1446 | n=64 | 1217 | 1008 | 719 | 6410 | 5911 | n=64 | 5412 | 4c13 | 4814 | 4415 | 4016 | n=64 | 3d17 | 3a18 | 3719 | 3420 |
| 65 | 10000012 | 21023 | 10014 | 2305 | 1456 | n=65 | 1227 | 1018 | 729 | 6510 | 5a11 | n=65 | 5512 | 5013 | 4914 | 4515 | 4116 | n=65 | 3e17 | 3b18 | 3819 | 3520 |
| 66 | 10000102 | 21103 | 10024 | 2315 | 1506 | n=66 | 1237 | 1028 | 739 | 6610 | 6011 | n=66 | 5612 | 5113 | 4a14 | 4615 | 4216 | n=66 | 3f17 | 3c18 | 3919 | 3620 |
| 67 | 10000112 | 21113 | 10034 | 2325 | 1516 | n=67 | 1247 | 1038 | 749 | 6710 | 6111 | n=67 | 5712 | 5213 | 4b14 | 4715 | 4316 | n=67 | 3g17 | 3d18 | 3a19 | 3720 |
| 68 | 10001002 | 21123 | 10104 | 2335 | 1526 | n=68 | 1257 | 1048 | 759 | 6810 | 6211 | n=68 | 5812 | 5313 | 4c14 | 4815 | 4416 | n=68 | 4017 | 3e18 | 3b19 | 3820 |
| 69 | 10001012 | 21203 | 10114 | 2345 | 1536 | n=69 | 1267 | 1058 | 769 | 6910 | 6311 | n=69 | 5912 | 5413 | 4d14 | 4915 | 4516 | n=69 | 4117 | 3f18 | 3c19 | 3920 |
| 70 | 10001102 | 21213 | 10124 | 2405 | 1546 | n=70 | 1307 | 1068 | 779 | 7010 | 6411 | n=70 | 5a12 | 5513 | 5014 | 4a15 | 4616 | n=70 | 4217 | 3g18 | 3d19 | 3a20 |
| 71 | 10001112 | 21223 | 10134 | 2415 | 1556 | n=71 | 1317 | 1078 | 789 | 7110 | 6511 | n=71 | 5b12 | 5613 | 5114 | 4b15 | 4716 | n=71 | 4317 | 3h18 | 3e19 | 3b20 |
| 72 | 10010002 | 22003 | 10204 | 2425 | 2006 | n=72 | 1327 | 1108 | 809 | 7210 | 6611 | n=72 | 6012 | 5713 | 5214 | 4c15 | 4816 | n=72 | 4417 | 4018 | 3f19 | 3c20 |
| 73 | 10010012 | 22013 | 10214 | 2435 | 2016 | n=73 | 1337 | 1118 | 819 | 7310 | 6711 | n=73 | 6112 | 5813 | 5314 | 4d15 | 4916 | n=73 | 4517 | 4118 | 3g19 | 3d20 |
| 74 | 10010102 | 22023 | 10224 | 2445 | 2026 | n=74 | 1347 | 1128 | 829 | 7410 | 6811 | n=74 | 6212 | 5913 | 5414 | 4e15 | 4a16 | n=74 | 4617 | 4218 | 3h19 | 3e20 |
| 75 | 10010112 | 22103 | 10234 | 3005 | 2036 | n=75 | 1357 | 1138 | 839 | 7510 | 6911 | n=75 | 6312 | 5a13 | 5514 | 5015 | 4b16 | n=75 | 4717 | 4318 | 3i19 | 3f20 |
| 76 | 10011002 | 22113 | 10304 | 3015 | 2046 | n=76 | 1367 | 1148 | 849 | 7610 | 6a11 | n=76 | 6412 | 5b13 | 5614 | 5115 | 4c16 | n=76 | 4817 | 4418 | 4019 | 3g20 |
| 77 | 10011012 | 22123 | 10314 | 3025 | 2056 | n=77 | 1407 | 1158 | 859 | 7710 | 7011 | n=77 | 6512 | 5c13 | 5714 | 5215 | 4d16 | n=77 | 4917 | 4518 | 4119 | 3h20 |
| 78 | 10011102 | 22203 | 10324 | 3035 | 2106 | n=78 | 1417 | 1168 | 869 | 7810 | 7111 | n=78 | 6612 | 6013 | 5814 | 5315 | 4e16 | n=78 | 4a17 | 4618 | 4219 | 3i20 |
| 79 | 10011112 | 22213 | 10334 | 3045 | 2116 | n=79 | 1427 | 1178 | 879 | 7910 | 7211 | n=79 | 6712 | 6113 | 5914 | 5415 | 4f16 | n=79 | 4b17 | 4718 | 4319 | 3j20 |
| 80 | 10100002 | 22223 | 11004 | 3105 | 2126 | n=80 | 1437 | 1208 | 889 | 8010 | 7311 | n=80 | 6812 | 6213 | 5a14 | 5515 | 5016 | n=80 | 4c17 | 4818 | 4419 | 4020 |
| 81 | 10100012 | 100003 | 11014 | 3115 | 2136 | n=81 | 1447 | 1218 | 1009 | 8110 | 7411 | n=81 | 6912 | 6313 | 5b14 | 5615 | 5116 | n=81 | 4d17 | 4918 | 4519 | 4120 |
| 82 | 10100102 | 100013 | 11024 | 3125 | 2146 | n=82 | 1457 | 1228 | 1019 | 8210 | 7511 | n=82 | 6a12 | 6413 | 5c14 | 5715 | 5216 | n=82 | 4e17 | 4a18 | 4619 | 4220 |
| 83 | 10100112 | 100023 | 11034 | 3135 | 2156 | n=83 | 1467 | 1238 | 1029 | 8310 | 7611 | n=83 | 6b12 | 6513 | 5d14 | 5815 | 5316 | n=83 | 4f17 | 4b18 | 4719 | 4320 |