Appendix - Some Useful Tables
1. Octal Multiplication Table
|
x
|
1
|
2
|
3
|
4
|
5
|
6
|
7
|
10
|
|
1
|
1
|
2
|
3
|
4
|
5
|
6
|
7
|
10
|
|
2
|
2
|
4
|
6
|
10
|
12
|
14
|
16
|
20
|
|
3
|
3
|
6
|
11
|
14
|
17
|
22
|
25
|
30
|
|
4
|
4
|
10
|
14
|
20
|
24
|
30
|
34
|
40
|
|
5
|
5
|
12
|
17
|
24
|
31
|
36
|
43
|
50
|
|
6
|
6
|
14
|
22
|
30
|
36
|
44
|
52
|
60
|
|
7
|
7
|
16
|
25
|
36
|
43
|
52
|
61
|
70
|
|
10
|
10
|
20
|
30
|
40
|
50
|
60
|
70
|
100
|
2. Powers of 2
|
n
|
2n
|
|
n
|
2n
|
|
1
|
2
|
|
16
|
65 536
|
|
2
|
4
|
|
17
|
131 072
|
|
3
|
8
|
|
18
|
262 144
|
|
4
|
16
|
|
19
|
524 288
|
|
5
|
32
|
|
20
|
1 048 576
|
|
6
|
64
|
|
21
|
2 097 152
|
|
7
|
128
|
|
22
|
4 194 304
|
|
8
|
256
|
|
23
|
8 388608
|
|
9
|
512
|
|
24
|
16 777 216
|
|
10
|
1 024
|
|
25
|
33 554 432
|
|
11
|
2 048
|
|
26
|
67 108 864
|
|
12
|
4 096
|
|
27
|
134 217 728
|
|
13
|
8 192
|
|
28
|
268 435 456
|
|
14
|
16 384
|
|
29
|
536 870 912
|
|
15
|
32 768
|
|
30
|
1 073 741 824
|
3. Recurring Fractions in Binary
(1)/(3)
= 0.0̇1̇
(1)/(5)
= 0.0̇011̇
(1)/(7)
= 0.0̇01̇
(1)/(9)
= 0.0̇00111̇
(1)/(11)
= 0.0̇001011101̇
(1)/(13)
= 0.0̇00100111011̇
(1)/(15)
= 0.0̇001̇
(1)/(17)
= 0.0̇0001111̇
(1)/(19)
= 0.0̇00011010111100101̇
(1)/(21)
= 0.0̇00011̇
(1)/(25)
= 0.0̇0001010001111010111̇
