Counting to 100 in Base 4

Can you count to 100 in base 4?
Quiz by Stef2
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Last updated: August 26, 2019
First submittedJune 28, 2019
Times taken11
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Base 10
0
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Base 10
Base 4
0
0
1
1
2
2
3
3
4
10
5
11
6
12
7
13
8
20
9
21
10
22
11
23
12
30
13
31
14
32
15
33
16
100
17
101
18
102
19
103
20
110
21
111
22
112
23
113
24
120
25
121
26
122
27
123
28
130
29
131
30
132
31
133
32
200
33
201
34
202
35
203
36
210
37
211
38
212
39
213
40
220
41
221
42
222
43
223
44
230
45
231
46
232
47
233
48
300
49
301
50
302
51
303
52
310
53
311
54
312
55
313
56
320
57
321
58
322
59
323
60
330
61
331
62
332
63
333
64
1000
65
1001
66
1002
67
1003
68
1010
69
1011
70
1012
71
1013
72
1020
73
1021
74
1022
75
1023
76
1030
77
1031
78
1032
79
1033
80
1100
81
1101
82
1102
83
1103
84
1110
85
1111
86
1112
87
1113
88
1120
89
1121
90
1122
91
1123
92
1130
93
1131
94
1132
95
1133
96
1200
97
1201
98
1202
99
1203
100
1210
+2
Level 57
Jun 28, 2019
Here's how to count in base 4 for all who need help! Each digit in base ten is the value of that number times 4 to the power of the place of the digit (with ones being the 0th place, tens being the 1st place and so on). So a 2 in the ones place is equivalent to 2*4^0 (or just 2). A 3 in the hundreds place is equivalent to 3*4^2 (or 48). The final number in base ten is adding the converted numbers. Converting from base ten to base four is the complete opposite. I probably explained that horribly, so let me use examples. Say we want to convert 67 to base 4. The highest power of four that can go into 67 is 4^3 (64). Only one 64 can go into 67, so the thousands digit(what 4^3 will be) is 1. 67 - 64 leaves 3. 4^2 (16) and 4^1 (4) are both greater than 3 so the hundreds and tens place will remain at 0. 4^0 (1) however can go into 3 three times meaning the ones digit will be 3. That leaves our final answer to be 1003. I hope I didn't miserably fain at explaining, but here you go!
+1
Level 56
Jun 28, 2019
This explains it very well!