Задание
48.
Число
a
записано
в
p
-
ичной
системе
счисления
.
Наиболее
рацио
-
нальным
способом
перевести
его
в
систему
счисления
по
основанию
q
.
1.
p
=
4,
q
=
8,
a
=
123113.
2.
p
=
8,
q
=
4,
a
=
3450.
3.
p
=
3,
q
=
9,
a
=
1021221.
4.
p
=
9,
q
=
3,
a
=
206.
5.
p
=
4,
q
=
16,
a
=
33033.
6.
p
=
16,
q
=
4,
a
=
373.
7.
p
=
8,
q
=
16,
a
=
10166.
8.
p
=
16,
q
=
8,
a
=
10(13)(12).
9.
p
=
2,
q
=
4,
a
=
101000111.
10.
p
=
4,
q
=
2,
a
=
12230.
11.
p
=
2,
q
=
16,
a
=
110101111.
12.
p
=
16,
q
=
2,
a
=
213.
13.
p
=
4,
q
=
8,
a
=
22002.
14.
p
=
8,
q
=
4,
a
=
1403.
15.
p
=
8,
q
=
16,
a
=
10165.
16.
p
=
16,
q
=
8,
a
=
10(13)9.
17.
p
=
4,
q
=
8,
a
=
21300.
18.
p
=
16,
q
=
8,
a
=
1530.
19.
p
=
4,
q
=
8,
a
=
112113.
20.
p
=
8,
q
=
4,
a
=
3273.
21.
p =
3,
q
=
9,
a
=
1120022.
22.
p
=
9,
q
=
3,
a
=
1646.
23.
p
=
4,
q
=
16,
a
=
201221.
24.
p
=
16,
q
=
4,
a
=
727.
25.
p
=
8,
q
=
16,
a
=
23044.
26.
p
=
16,
q
=
8,
a
=
2231.
27.
p
=
2,
q
=
4,
a
=
1101101011.
28.
p
=
4,
q
=
2,
a
=
13311.
29.
p
=
2,
q
=
16,
a
=
111000010.
30.
p
=
16,
q
=
2,
a
=
1(14)6.
Задание
49.
Число
а
записано
в
р
-
ичной
системе
.
Прямым
делением
в
этой
си
-
стеме
перевести
его
в
систему
по
основанию
q.
Задача
А
1.
p
=
5,
q
=
11,
a
=
1030033.
2.
p
=
5,
q
=
12,
a
=
1041303.
3.
p
=
5,
q
=
13,
a
=
1420224.
4.
p
=
5,
q
=
14,
a
=
1143224.
5.
p
=
5,
q
=
15,
a
=
2004012.
6.
p
=
5,
q
=
16,
a
=
2022321.
7.
p
=
6,
q
=
11,
a
=
523044.
8.
p
=
6,
q
=
12,
a
=
531505.
9.
p
=
6,
q
=
13,
a
=
141244.
10.
p
=
6,
q
=
14,
a
=
150051.
11.
p
=
6,
q
=
15,
a
=
304323.
12.
p
=
6,
q
=
16,
a
=
242401.
13.
p
=
7,
q
=
11,
a
=
160421.
14.
p
=
7,
q
=
12,
a
=
163352.
15.
p
=
7,
q
=
13,
a
=
233564.
16.
p
=
7,
q
=
14,
a
=
236524.
17.
p
=
7,
q
=
15,
a
=
311136.
18.
p
=
7,
q
=
16,
a
=
314065.
57
19.
p
=
8,
q
=
11,
a
=
175470.
20.
p
=
8,
q
=
12,
a
=
177440.
21.
p
=
8,
q
=
13,
a
=
223237.
22.
p
=
8,
q
=
14,
a
=
225207.
23.
p
=
8,
q
=
15,
a
=
251006.
24.
p
=
8,
q
=
16,
a
=
252756.
25.
p
=
9,
q
=
11,
a
=
157840.
26.
p
=
9,
q
=
12,
a
=
160271.
27.
p
=
9,
q
=
13,
a
=
73778.
28.
p
=
9,
q
=
14,
a
=
100861.
29.
p
=
9,
q
=
15,
a
=
101104.
30.
p
=
9,
q
=
16,
a
=
107870.
Задача
Б
1.
p
=
14,
q
=
7,
a
=
25583.
2.
p
=
14,
q
=
8,
a
=
11309.
3.
p
=
14,
q
=
9,
a
=
15326.
4.
p
=
15,
q
=
5,
a
=
109(14)8.
5.
p
=
15,
q
=
6,
a
=
13(13)(12)(14).
6.
p
=
15,
q
=
7,
a
=
13(14)54.
7.
p
=
15,
q
=
8,
a
=
17334.
8.
p
=
15,
q
=
9,
a
=
1710(10).
9.
p
=
16,
q
=
5,
a
=
13(14) (11)1.
10.
p
=
16,
q
=
6,
a
=
117(10)(12).
11.
p
=
16,
q
=
7,
a
=
(15)4(14)8.
12.
p
=
16,
q
=
8,
a
=
17987.
13.
p
=
16,
q
=
9,
a
=
156(12)(13).
14.
p
=
11,
q
=
5,
a
=
45627.
15.
p
=
11,
q
=
6,
a
=
52098.
16.
p
=
11,
q
=
7,
a
=
52512.
17.
p
=
11,
q
=
8,
a
=
57887.
18.
p
=
11,
q
=
9,
a
=
58616.
19.
p
=
12,
q
=
5,
a
=
46974.
20.
p
=
12,
q
=
6,
a
=
45053.
21.
p
=
12,
q
=
7,
a
=
201(11)9.
22.
p
=
12,
q
=
8,
a
=
26646.
23.
p
=
12,
q
=
9,
a
=
26718.
24.
p
=
13,
q
=
5,
a
=
230(12)0.
25.
p
=
13,
q
=
6,
a
=
23176.
26.
p
=
13,
q
=
7,
a
=
28183.
27.
p
=
13,
q
=
8,
a
=
27(11)98.
28.
p
=
13,
q
=
9,
a
=
2(12)(12)56.
29.
p
=
14,
q
=
5,
a
=
232(10)0.
30.
p
=
14,
q
=
6,
a
=
2734(12).
Задание
50.
Доказать
делимость
.
1.
n
8
+4
n
7
+6
n
6
+4
n
5
+
n
4
M
16.
2.
n
4
–2
n
3
+11
n
2
+62
n
M
24.
3.
n
4
+3
n
3
–
n
2
–3
n
M
6.
4.
n
5
–
n
M
10.
5.
n
7
–
n
M
42.
6.
2
n
3
–3
n
2
+
n
M
6.
7.
9
n
5
–5
n
3
–4
n
M
120.
8.
n
3
+11
n
M
6.
9.
n
4
+6
n
3
+11
n
2
+6
n
M
24.
10.
n
5
–5
n
3
+4
n
M
120.
11.
n
6
–61
n
2
M
60.
12.
n
5
–125
n
3
+4
n
M
120.
13.
n
4
+2
n
3
+3
n
2
+2
n
M
8.
14.
6
n
5
+15
n
4
+10
n
3
–
n
M
30.
15.
2
n
6
–
n
4
–
n
2
M
36.
16.
n
=
2
k
+1
⇒
n
3
+3
n
2
–
n
–3
M
48
17.
n
(
n
2
–1)(
n
2
–5
n
+26)
M
120.
18.
n
=
2
k
+1
⇒
n
12
–
n
8
–
n
4
+1
M
512.
19.
n
k
+4
–
n
k
M
30 (
k
∈
Ν
).
20.
n
=
2
k
+1
⇒
n
5
–
n
M
240.
21.
n
7
–5
n
5
+4
n
3
M
360.
22.
n
(
n
2
–49)(
n
2
+49)
M
30.
58
23.
n
=
2
k
+1
⇒
n
4
+7(7+2
n
2
)
M
64.
24.
(
n
, 6)
⇒
n
2
–1
M
24.
25.
n=
2
k
+1,
m=
2
s
+1
⇒
mn
(
m
4
–
n
4
)
M
120.
26.
(
m
2
n
3
–4
m
2
n
)(
m
4
+
m
2
–2)
M
216.
27.
mn
(
m
2
–
n
2
)(
m
2
+
n
2
)
M
30.
28.
n
3
+65
n
M
6.
29.
n
6
+59
n
2
M
60.
30.
n
(2
n
+1)(7
n
+1)
M
6.
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