Учебник + задачник АП Ильиных
.pdf150. |
64, 26, 14, 73 |
168. |
31, 26, 18, 43 |
151. |
15, 7, 25, 41 |
169. |
57, 82, 6, 89 |
152. |
9, 2, 8, 19 |
170. |
37, 7, 22, 71 |
153. |
7, 45, 26, 53 |
171. |
4, 3, 26, 31 |
154. |
16, 14, 11, 17 |
172. |
9, 23, 20, 47 |
155. |
3, 18, 24, 29 |
173. |
14, 6, 4, 17 |
156. |
2, 8, 4, 11 |
174. |
12, 15, 6, 19 |
157. |
44, 7, 60, 61 |
175. |
9, 32, 61, 67 |
158. |
2, 6, 9, 13 |
176. |
8, 7, 9, 11 |
159. |
1, 61, 13, 67 |
177. |
81, 54, 57, 83 |
160. |
66, 58, 11, 83 |
178. |
9, 20, 20, 23 |
161. |
13, 10, 12, 17 |
179. |
4, 5, 23, 37 |
162. |
45, 71, 12, 83 |
180. |
40, 18, 32, 53 |
163. |
37, 30, 57, 61 |
181. |
11, 15, 10, 19 |
164. |
13, 14, 41, 59 |
182. |
1, 39, 29, 73 |
165. |
27, 7, 56, 71 |
183. |
20, 8, 3, 29 |
166. |
65, 60, 60, 73 |
184. |
14, 6, 2, 17 |
167. |
1, 14, 15, 19 |
185. |
1, 50, 11, 67 |
186.10, 6, 3, 11
187.32, 11, 14, 71
188.54, 59, 9, 61
189.4, 15, 2, 37
190.16, 5, 19, 23
191.15, 28, 2, 73
192.34, 50, 3, 83
193.35, 19, 33, 41
194.1, 6, 7, 11
195.23, 34, 29, 43
196.49, 10, 21, 61
197.12, 18, 25, 29
198.13, 13, 7, 19
199.11, 14, 2, 23
200.9, 6, 5, 13
Задача 27. Перевести число a из 10-ичной системы счисления в g-ичную.
|
a |
g |
|
a |
g |
|
a |
g |
a |
g |
1. |
2448, 5 |
|
10. |
14860, 7 |
19. |
14052, 7 |
28. |
7947, 7 |
||
2. |
1633, 6 |
|
11. |
3233, 6 |
20. |
2321, 5 |
29. |
2901, 6 |
||
3. |
3656, 6 |
|
12. |
1797, 6 |
21. |
26266, 8 |
30. |
677, 4 |
||
4. |
211, 3 |
|
13. |
10275, 7 |
22. |
11437, 9 |
31. |
233, 3 |
||
5. |
1786, 5 |
|
14. |
13810, 8 |
23. |
743, 4 |
32. |
57790, 9 |
||
6. |
758, 4 |
|
15. |
2913, 5 |
24. |
11111, 7 |
33. |
1014, 4 |
||
7. |
7809, 7 |
|
16. |
3051, 7 |
25. |
874, 4 |
34. |
6224, 6 |
||
8. |
984, 5 |
|
17. |
25274, 8 |
26. |
2191, 5 |
35. |
7699, 6 |
||
9. |
727, 4 |
|
18. |
1021, 4 |
27. |
2473, 6 |
36. |
26222, 8 |
||
141
37. |
13591, 8 |
67. |
25903, 8 |
97. |
122, 3 |
127. |
124, 3 |
38. |
382, 4 |
68. |
1439, 5 |
98. |
954, 4 |
128. |
687, 4 |
39. |
12428, 7 |
69. |
1014, 4 |
99. |
133, 3 |
129. |
4201, 6 |
40. |
3014, 7 |
70. |
14114, 8 |
100. |
232, 3 |
130. |
598, 4 |
41. |
121, 3 |
71. |
5473, 7 |
101. |
379, 4 |
131. |
152, 3 |
42. |
6958, 6 |
72. |
887, 4 |
102. |
1108, 5 |
132. |
157, 3 |
43. |
30975, 9 |
73. |
5893, 7 |
103. |
21406, 8 |
133. |
2243, 5 |
44. |
46808, 9 |
74. |
868, 5 |
104. |
598, 4 |
134. |
34098, 9 |
45. |
16490, 9 |
75. |
11192, 7 |
105. |
28663, 8 |
135. |
5108, 8 |
46. |
4210, 6 |
76. |
5485, 6 |
106. |
1406, 5 |
136. |
11171, 8 |
47. |
1469, 5 |
77. |
871, 4 |
107. |
4443, 6 |
137. |
12622, 7 |
48. |
4946, 6 |
78. |
3343, 6 |
108. |
11899, 7 |
138. |
34880, 9 |
49. |
2584, 6 |
79. |
121, 3 |
109. |
421, 4 |
139. |
4017, 7 |
50. |
477, 4 |
80. |
3001, 7 |
110. |
11059, 7 |
140. |
997, 4 |
51. |
1592, 5 |
81. |
2132, 6 |
111. |
5497, 6 |
141. |
7537, 6 |
52. |
478, 4 |
82. |
158, 3 |
112. |
241, 3 |
142. |
133, 3 |
53. |
14073, 8 |
83. |
19146, 8 |
113. |
2994, 5 |
143. |
229, 3 |
54. |
489, 4 |
84. |
2982, 5 |
114. |
7739, 6 |
144. |
6849, 6 |
55. |
124, 3 |
85. |
133, 3 |
115. |
56717, 9 |
145. |
5140, 6 |
56. |
1249, 5 |
86. |
11034, 8 |
116. |
1536, 5 |
146. |
7754, 6 |
57. |
630, 4 |
87. |
5099, 8 |
117. |
971, 5 |
147. |
49715, 9 |
58. |
29807, 9 |
88. |
1042, 5 |
118. |
32653, 9 |
148. |
6472, 6 |
59. |
471, 4 |
89. |
43531, 9 |
119. |
2116, 6 |
149. |
16290, 8 |
60. |
2721, 5 |
90. |
734, 4 |
120. |
23502, 8 |
150. |
239, 3 |
61. |
6029, 6 |
91. |
346, 4 |
121. |
3013, 6 |
151. |
21001, 9 |
62. |
46816, 9 |
92. |
3754, 7 |
122. |
5845, 8 |
152. |
615, 4 |
63. |
1067, 5 |
93. |
152, 3 |
123. |
1493, 5 |
153. |
3734, 6 |
64. |
122, 3 |
94. |
130, 3 |
124. |
358, 4 |
154. |
148, 3 |
65. |
161, 3 |
95. |
7041, 6 |
125. |
2098, 6 |
155. |
121, 3 |
66. |
1018, 4 |
96. |
4289, 7 |
126. |
783, 5 |
156. |
25063, 9 |
142
157. |
45314, 9 |
168. |
49272, 9 |
179. |
4243, 6 |
190. |
2941, 5 |
|
158. |
6261, 8 |
169. |
52378, 9 |
180. |
607, 4 |
191. |
7233, 6 |
|
159. |
3046, 5 |
170. |
124, 3 |
181. |
343, 4 |
192. |
747, 4 |
|
160. |
17962, 9 |
171. |
157, 3 |
182. |
1092, 5 |
193. |
12533, 7 |
|
|
|
|||||||
161. |
4192, 6 |
172. |
13201, 7 |
183. |
152, 3 |
194. |
602, 4 |
|
|
|
|||||||
162. |
6262, 6 |
173. |
238, 3 |
184. |
212, 3 |
195. |
485, 4 |
|
|
|
|||||||
163. |
11054, 9 |
174. |
6026, 6 |
185. |
25214, 8 |
196. |
36087, 9 |
|
|
|
|||||||
164. |
7724, 6 |
175. |
20380, 8 |
186. |
3265, 7 |
197. |
13327, 7 |
|
|
|
|||||||
165. |
606, 4 |
176. |
937, 4 |
187. |
17567, 8 |
198. |
4386, 7 |
|
199. |
425, 4 |
|||||||
|
|
|
|
|
|
|||
166. |
15956, 7 |
177. |
8495, 7 |
188. |
3332, 6 |
200. |
599, 4 |
|
|
|
|
|
|
|
|||
167. |
438, 4 |
178. |
15648, 7 |
189. |
241, 3 |
|
|
Задача 28. Перевести число a из g-ичной системы счисления в q-ичную.
|
a |
g |
q |
|
a |
g |
q |
a |
g |
q |
1. |
3135, 7, 9 |
|
16. |
202002, 3, 5 |
31. |
112001, 3, 6 |
||||
2. |
3255, 7, 8 |
|
17. |
31100, 4, 7 |
32. |
202100, 3, 5 |
||||
3. |
2203, 4, 5 |
|
18. |
104202, 5, 8 |
33. |
111331, 5, 8 |
||||
4. |
13303, 5, 6 |
|
19. |
14531, 6, 8 |
34. |
3462, 8, 9 |
||||
5. |
10203, 6, 8 |
|
20. |
31023, 5, 8 |
35. |
14155, 6, 8 |
||||
6. |
4332, 6, 9 |
|
21. |
13020, 5, 8 |
36. |
33423, 6, 9 |
||||
7. |
7453, 8, 9 ] , |
|
22. |
14100, 5, 7 |
37. |
14202, 5, 6 |
||||
8. |
111212, 3, 6 |
|
23. |
10320, 4, 5 |
38. |
10342, 6, 9 |
||||
9. |
2363, 7, 8 |
|
24. |
10430, 5, 6 |
39. |
3102, 6, 8 |
||||
10. |
23223, 5, 7 |
|
25. |
110023, 4, 7 |
40. |
10310, 5, 6 |
||||
11. |
110020, 4, 6 |
|
26. |
111110011, 2, 5 |
41. |
11011011, 2, 5 |
||||
12. |
5004, 7, 8 |
|
27. |
10654, 8, 9 |
42. |
23011, 4, 6 |
||||
13. |
103213, 5, 8 |
|
28. |
14415, 7, 8 |
43. |
11011000, 2, 5 |
||||
14. |
12030, 5, 7 |
|
29. |
10410, 6, 7 |
44. |
121013, 4, 7 |
||||
15. |
100303, 4, 6 |
|
30. |
5255, 6, 7 |
|
45. |
1001010000, 2, 5 |
|||
143
46. |
12444, 5, 7 |
76. |
10212, 4, 5 |
106. |
21301, 4, 6 |
47. |
23302, 5, 8 |
77. |
41505, 6, 9 |
107. |
13111, 6, 7 |
48. |
16106, 7, 9 |
78. |
4101, 5, 6 |
108. |
2210, 5, 6 |
49. |
15002, 6, 7 |
79. |
5014, 6, 7 |
109. |
11034, 7, 8 |
50. |
4211, 5, 7 |
80. |
13443, 5, 6 |
110. |
102332, 5, 8 |
51. |
5121, 6, 9 |
81. |
3103, 4, 5 |
111. |
33022, 5, 7 |
52. |
1021100, 3, 6 |
82. |
210022, 3, 6 |
112. |
1000110, 3, 6 |
53. |
22013, 4, 6 |
83. |
111014, 5, 8 |
113. |
1001120, 3, 6 |
54. |
21201, 3, 5 |
84. |
111011, 5, 8 |
114. |
13101, 6, 9 |
55. |
4324, 5, 6 |
85. |
12003, 5, 8 |
115. |
11130, 5, 8 |
56. |
15003, 6, 8 |
86. |
32400, 5, 7 |
116. |
102001, 3, 5 |
57. |
40133, 5, 8 |
87. |
1000111110, 2, 5 |
117. |
23123, 5, 7 |
58. |
30201, 4, 7 |
88. |
13333, 4, 6 |
118. |
3500, 6, 8 |
59. |
1202101, 3, 6 |
89. |
1022110, 3, 6 |
119. |
25022, 6, 8 |
60. |
14512, 6, 7 |
90. |
101100101, 2, 5 |
120. |
202020, 3, 5 |
61. |
12300, 6, 8 |
91. |
101011, 3, 6 |
121. |
1202021, 3, 6 |
62. |
2412, 5, 6 |
92. |
31230, 4, 7 |
122. |
10422, 6, 7 |
63. |
3600, 8, 9 |
93. |
14417, 8, 9 |
123. |
5331, 6, 7 |
64. |
3000, 6, 7 |
94. |
30455, 6, 8 |
124. |
45222, 6, 9 |
65. |
30424, 6, 9 |
95. |
1102022, 3, 6 |
125. |
43241, 6, 9 |
66. |
23014, 6, 8 |
96. |
201000, 3, 6 |
126. |
101133, 4, 7 |
67. |
4016, 8, 9 |
97. |
13213, 6, 7 |
127. |
3451, 7, 8 |
68. |
20331, 5, 7 |
98. |
13214, 5, 6 |
128. |
11310, 7, 8 |
69. |
3205, 6, 8 |
99. |
3000, 4, 5 |
129. |
110000, 3, 5 |
70. |
10222, 4, 6 |
100. |
3203, 7, 8 |
130. |
21304, 5, 7 |
71. |
22115, 6, 8 |
101. |
1110001, 3, 6 |
131. |
3632, 7, 9 |
72. |
12136, 8, 9 |
102. |
24313, 6, 8 |
132. |
1120111, 3, 6 |
73. |
20303, 4, 5 |
103. |
31121, 4, 6 |
133. |
121100, 3, 5 |
74. |
3320, 4, 5 |
104. |
13301, 5, 6 |
134. |
112132, 5, 8 |
75. |
31021, 4, 7 |
105. |
33121, 4, 6 |
135. |
111100110, 2, 5 |
144
136. |
3121, 5, 6 |
158. |
20000, 3, 5 |
137. |
2133, 4, 5 |
159. |
4643, 8, 9 |
138. |
11331, 4, 6 |
160. |
12531, 6, 7 |
139. |
11423, 5, 8 |
161. |
12434, 5, 6 |
140. |
10112, 4, 6 |
162. |
45305, 6, 9 |
141. |
12211, 6, 7 |
163. |
13100, 6, 7 |
142. |
1000101111, 2, 5 |
164. |
100011100, 2, 5 |
143. |
122000, 3, 5 |
165. |
10210, 7, 8 |
144. |
12211, 3, 5 |
166. |
13276, 8, 9 |
145. |
101000, 4, 7 |
167. |
4101, 5, 6 |
146. |
5333, 6, 7 |
168. |
13256, 7, 8 |
147. |
1020221, 3, 6 |
169. |
20204, 6, 9 |
148. |
34004, 5, 8 |
170. |
21021, 3, 5 |
149. |
11010101, 2, 5 |
171. |
133110, 4, 7 |
150. |
13031, 4, 5 |
172. |
1000011101, 2, 5 |
151. |
6053, 7, 9 |
173. |
110101, 3, 5 |
152. |
14456, 7, 8 |
174. |
11204, 5, 8 |
153. |
2411, 6, 7 |
175. |
33303, 5, 7 |
154. |
22333, 4, 6 |
176. |
11411, 5, 7 |
155. |
200000, 4, 7 |
177. |
25144, 6, 9 |
156. |
2110, 7, 8 |
178. |
32103, 4, 7 |
157. |
1120111, 3, 6 |
179. |
14040, 5, 6 |
180.24345, 6, 9
181.11333, 8, 9
182.133223, 4, 7
183.1644, 7, 8
184.10200, 4, 5
185.11673, 8, 9
186.15151, 6, 8
187.111100110, 2, 5
188.1001101001, 2, 5
189.101101010, 2, 5
190.1112200, 3, 6
191.11453, 6, 7
192.1202211, 3, 6
193.5233, 7, 9
194.14622, 7, 8
195.1000011, 3, 6
196.25542, 6, 8
197.1001210, 3, 6
198.122112, 3, 5
199.12711, 8, 9
200.200012, 3, 5
Задача 29. Найти a+b, a-b, ab в g-ичной системе счисления.
|
a |
b |
g |
|
a |
b |
g |
a |
b |
g |
1. |
2251, 256, 8 |
|
6. |
1644, 142, 7 |
11. |
1312, 434, 5 |
||||
2. |
3146, 135, 7 |
|
7. |
3213, 322, 5 |
12. |
6631, 643, 7 |
||||
3. |
6825, 555, 9 |
|
8. |
5342, 115, 7 |
13. |
5122, 621, 9 |
||||
4. |
5223, 244, 7 |
|
9. |
2446, 541, 9 |
14. |
5758, 113, 9 |
||||
5. |
3334, 221, 5 |
|
10. |
6561, 187, 9 |
15. |
1332, 522, 6 |
||||
145
16. |
4343, 114, 5 |
46. |
1133, 422, 5 |
76. |
5514, 125, 6 |
17. |
1346, 163, 7 |
47. |
3531, 521, 7 |
77. |
3773, 428, 9 |
18. |
5351, 424, 6 |
48. |
7267, 514, 8 |
78. |
4442, 242, 5 |
19. |
7885, 667, 9 |
49. |
5452, 366, 7 |
79. |
2311, 331, 7 |
20. |
1343, 142, 5 |
50. |
7542, 477, 8 |
80. |
6814, 446, 9 |
21. |
5171, 668, 9 |
51. |
4761, 445, 9 |
81. |
8583, 687, 9 |
22. |
2213, 114, 5 |
52. |
4341, 435, 6 |
82. |
4452, 133, 7 |
23. |
7447, 367, 9 |
53. |
1211, 724, 8 |
83. |
5164, 535, 8 |
24. |
1662, 513, 9 |
54. |
1244, 332, 5 |
84. |
4213, 444, 5 |
25. |
7322, 477, 9 |
55. |
4133, 312, 5 |
85. |
3323, 151, 6 |
26. |
5374, 147, 8 |
56. |
4133, 511, 7 |
86. |
1141, 122, 5 |
27. |
3222, 221, 5 |
57. |
4412, 331, 5 |
87. |
6452, 267, 9 |
28. |
6126, 156, 7 |
58. |
6761, 145, 8 |
88. |
1342, 553, 6 |
29. |
1223, 124, 5 |
59. |
1421, 214, 5 |
89. |
6722, 462, 8 |
30. |
1726, 231, 9 |
60. |
4412, 441, 5 |
90. |
5216, 421, 7 |
31. |
5645, 217, 8 |
61. |
1667, 677, 9 |
91. |
2321, 444, 5 |
32. |
2331, 423, 5 |
62. |
2214, 221, 5 |
92. |
2141, 242, 5 |
33. |
3666, 622, 8 |
63. |
7352, 113, 8 |
93. |
6217, 767, 8 |
34. |
1241, 423, 6 |
64. |
6513, 263, 7 |
94. |
7253, 562, 9 |
35. |
5861, 537, 9 |
65. |
3138, 883, 9 |
95. |
3411, 224, 5 |
36. |
6236, 211, 8 |
66. |
6664, 174, 8 |
96. |
5323, 514, 7 |
37. |
5332, 521, 6 |
67. |
6632, 212, 7 |
97. |
1235, 653, 7 |
38. |
3323, 526, 8 |
68. |
1615, 763, 9 |
98. |
2211, 131, 7 |
39. |
3534, 344, 6 |
69. |
1434, 212, 5 |
99. |
8258, 633, 9 |
40. |
6227, 243, 8 |
70. |
2442, 245, 7 |
100. |
2224, 341, 6 |
41. |
5137, 756, 8 |
71. |
7747, 622, 9 |
101. |
3525, 542, 7 |
42. |
4542, 544, 8 |
72. |
2235, 321, 6 |
102. |
5252, 126, 7 |
43. |
1461, 255, 7 |
73. |
5212, 112, 6 |
103. |
3342, 323, 5 |
44. |
1447, 263, 8 |
74. |
6257, 731, 8 |
104. |
5214, 366, 7 |
45. |
4444, 423, 5 |
75. |
5314, 141, 6 |
105. |
1372, 436, 9 |
146
106. |
4131, 431, 5 |
138. |
6454, 555, 7 |
107. |
1571, 213, 9 |
139. |
2141, 343, 6 |
108. |
5435, 542, 6 |
140. |
2832, 641, 9 |
109. |
3872, 142, 9 |
141. |
3345, 231, 6 |
110. |
5225, 356, 7 |
142. |
5325, 414, 6 |
111. |
1412, 431, 5 |
143. |
2412, 432, 6 |
112. |
5715, 422, 9 |
144. |
8311, 616, 9 |
113. |
1634, 165, 7 |
145. |
3254, 351, 6 |
114. |
3313, 142, 5 |
146. |
3416, 311, 7 |
115. |
2314, 131, 8 |
147. |
4314, 114, 5 |
116. |
1756, 513, 9 |
148. |
2177, 773, 8 |
117. |
8871, 765, 9 |
149. |
6615, 353, 7 |
118. |
1344, 547, 8 |
150. |
4433, 425, 6 |
119. |
5611, 426, 7 |
151. |
3175, 755, 8 |
120. |
8332, 646, 9 |
152. |
2431, 144, 5 |
121. |
3313, 353, 6 |
153. |
3637, 646, 8 |
122. |
1762, 125, 8 |
154. |
7366, 153, 8 |
123. |
3413, 333, 5 |
155. |
2441, 123, 6 |
124. |
3222, 132, 6 |
156. |
2613, 461, 8 |
125. |
4426, 511, 8 |
157. |
4523, 225, 6 |
126. |
6113, 856, 9 |
158. |
4537, 615, 8 |
127. |
4324, 313, 5 |
159. |
8525, 577, 9 |
128. |
5442, 344, 6 |
160. |
3222, 724, 8 |
129. |
6634, 236, 9 |
161. |
6327, 337, 8 |
130. |
6616, 378, 9 |
162. |
3124, 523, 6 |
131. |
2173, 174, 8 |
163. |
2367, 638, 9 |
132. |
1515, 233, 6 |
164. |
4442, 424, 6 |
133. |
4534, 631, 7 |
165. |
2425, 884, 9 |
134. |
5366, 245, 7 |
166. |
6534, 416, 9 |
135. |
5423, 513, 6 |
167. |
7772, 763, 8 |
136. |
3144, 115, 6 |
168. |
4517, 366, 8 |
137. |
2332, 123, 5 |
169. |
6512, 544, 7 |
170.2478, 266, 9
171.1233, 334, 6
172.3753, 574, 8
173.6624, 233, 8
174.4132, 242, 5
175.4123, 234, 5
176.4542, 513, 7
177.3155, 134, 7
178.1411, 524, 6
179.5377, 641, 9
180.2215, 354, 6
181.3233, 435, 6
182.5643, 445, 8
183.1746, 532, 9
184.4126, 222, 9
185.3862, 715, 9
186.3423, 122, 6
187.4111, 142, 5
188.4325, 252, 6
189.1134, 211, 5
190.3344, 212, 5
191.6682, 513, 9
192.1544, 343, 6
193.2625, 533, 7
194.7622, 346, 8
195.5161, 485, 9
196.4422, 654, 8
197.3454, 353, 6
198.2165, 337, 8
199.4287, 428, 9
200.4763, 722, 8
147
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148
УЧЕБНОЕ ИЗДАНИЕ
Ильиных Анатолий Петрович
Теория чисел
Учебное пособие
Компьютерная верстка: А.П. Ильиных Редактор Т. В. Васильева
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