Draft
Answers
1.
In four columns write the numbers from one to a hundred in
base five, base six, ten, and base
twelve.
Base five Base six Base ten Base
twelve
1 1 1 1 one
2 2 2
2 two
3 3 3 3 three
4 4 4 4 four
10 5 5
5 five
11
10 6 6 six
12 11 7 7 seven
13
12 8 8 eight
14 13 9
9 nine
20
14 10 T ten
21
15 11 E eleven
22 20
12 10 twelve
23 21 13 11 thirteen
24 22 14
12 fourteen
30 23 15 13 fifteen
31 24 16
14 sixteen
32 25 17 15 seventeen
33 30 18
16 eighteen
34 31 19 17 nineteen
40 32 20
18 twenty
41 33 21 19 twenty
one
42 34 22
1T twenty
two
43 35 23 1E twenty
three
44 40 24
20 twenty
four
100 41 25 21 twenty
five
101 42
26 22 twenty
six
102 43 27 23 twenty seven
103 44
28 24 twenty
eight
104 45 29 25 twenty
nine
110 50
30 26 thirty
111 51
31 27 thirty
one
112 52 32
28 thirty
two
113 53
33 29 thirty
three
114 54 34
2T thirty
four
120 55 35 2E thirty
five
121 100
36 30 thirty
six
122 101 37 31 thirty seven
123 102
38 32 thirty
eight
124 103 39 33 thirty
nine
130 104
40 34 forty
131 105 41 35 forty
one
132 110 42
36 forty
two
133 111 43 3 7 forty
three
134 112 44
38 forty
four
140 113 45 39 forty
five
141 114
46 3T forty
six
142 115 47 3E forty seven
143 120
48 40 forty
eight
144 121 49 41 forty
nine
200 122
50 42 fifty
201 123 51 43 fifty
one
202 124 52
44 fifty
two
203 125 53 45 fifty
three
204 130 54
46 fifty
four
210 131 55 47 fifty
five
211 132
56 48 fifty
six
212 133 57 49 fifty seven
213 134
58 4T fifty
eight
214 135 59 4E fifty
nine
220 140
60 50 sixty
221 141
61 51 sixty
one
222 142 62
52 sixty
two
223 143
63 53 sixty
three
224 144 64
54 sixty
four
230 145 65 55 sixty
five
231 150
66 56 sixty
six
232 151 67 57 sixty seven
233 152 68 58 sixty
eight
234 153 69 59 sixty
nine
240 154
70 5T seventy
241 155
71 5E seventy
one
242 200 72
60 seventy
two
243 201
73 61 seventy
three
244 202 74
62 seventy
four
300 203 75 63 seventy
five
301 204
76 64 seventy
six
302 205 77 65 seventy seven
303 210
78 66 seventy
eight
304 211 79 67 seventy
nine
310 212
80 68 eighty
311 213 81 69 eighty
one
312 214 82
6T eighty
two
313 215 83 6E eighty
three
314 220 84
70 eighty
four
310 221 85 71 eighty
five
321 222
86 72 eighty
six
322 223 87 73 eighty seven
323 224
88 74 eighty
eight
324 225 89 75 eighty
nine
320 230
90 76 ninety
331 231 91 77 ninety
one
302 232 92
78 ninety
two
333 233 93 79 ninety
three
304 234 94
7T ninety
four
300 235 95 7E ninety
five
301 240
96 80 ninety
six
302 241 97 81 ninety seven
303 242
98 82 ninety
eight
304 243 99 83 ninety
nine
400 244
100 84 one
hundred
2.
Convert the following numbers from base five to base ten.
a.
123five = 38
b.
242five =
72
c.
1321five =
211
d.
2140five =
295
e.
4032five =
517
f.
40213five =
2558
3.
Convert the following numbers from base six to base ten.
a.
51six =
31
b.
242six =
98
c.
1254six =
322
d.
3541six =
853
e.
12521six =
1921
f.
35241six =
5065
4.
Convert the following numbers from base ten to base five.
a.
45 =
140five
b.
132 =
1012 five
c.
658 =
10113 five
d.
872 =
11442 five
e.
1285 =
20120 five
f.
6542 =
202132 five
5.
Convert the following numbers from base ten to base six.
a.
45 =
113six
b.
132 =
340six
c.
602 =
2442six
d.
1612 =
11514six
e.
2491 =
15311six
f.
3862 =
25514six
6.
Write the five
numbers before and after each of the following:
a. 233five 234five 240five 241five
242five 243five 244five 300five 301five 302five 303five
b. 113six 114six 115six 120six 121six 122six
123six 124six 125six 130six 131six
c. 234five 240five 241five 242five 243five 244five 300five 301five 302five
303five 304five
d. 235six 240six 241six
242six 243six 244six 245six 250six 251six
252six 253six
e. 1022five
1023five 1024five 1030five 1031five
1032five 1033five 1034five 1040five
1041five 1042five
f. 1023six 1024six 1025six
1030six 1031six 1032six 1033six 1034six 1035six
1040six 1041six