Base 4 (Quaternary) to Base 3 (Ternary) conversion calculator

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1 b4 = 1 b3

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Base 4 (Quaternary) to Base 3 (Ternary) conversion formula

Base 4 (Quaternary) to Base 3 (Ternary) conversion formula

To convert from Base 4 (Quaternary) to Base 3 (Ternary), first convert the number to decimal (multiply each digit by 4 raised to the power of its position, counting from 0 at the right-hand end, and add the results), then convert the decimal number to Base 3 (Ternary) (divide by 3 repeatedly and read the remainders from last to first).

Example: 1210 b4 = 100 dec = 10201 b3

Base 4 (Quaternary) to Base 3 (Ternary) calculation

1 b4 = 1 dec 1 dec = 1 b3

Base 3 (Ternary) to Base 4 (Quaternary) (Swap units)

 

 

Base 4 (Quaternary) to Base 3 (Ternary) table

Base 4 (Quaternary) Base 3 (Ternary)
0 0
1 1
2 2
3 10
10 11
11 12
12 20
13 21
20 22
21 100
22 101
23 102
30 110
31 111
32 112
33 120
100 121
101 122
102 200
103 201
110 202
111 210
112 211
113 212
120 220
Base 4 (Quaternary) Base 3 (Ternary)
121 221
122 222
123 1000
130 1001
131 1002
132 1010
133 1011
200 1012
201 1020
202 1021
203 1022
210 1100
211 1101
212 1102
213 1110
220 1111
221 1112
222 1120
223 1121
230 1122
231 1200
232 1201
233 1202
300 1210
301 1211
Base 4 (Quaternary) Base 3 (Ternary)
302 1212
303 1220
310 1221
311 1222
312 2000
313 2001
320 2002
321 2010
322 2011
323 2012
330 2020
331 2021
332 2022
333 2100
1000 2101
1001 2102
1002 2110
1003 2111
1010 2112
1011 2120
1012 2121
1013 2122
1020 2200
1021 2201
1022 2202
Base 4 (Quaternary) Base 3 (Ternary)
1023 2210
1030 2211
1031 2212
1032 2220
1033 2221
1100 2222
1101 10000
1102 10001
1103 10002
1110 10010
1111 10011
1112 10012
1113 10020
1120 10021
1121 10022
1122 10100
1123 10101
1130 10102
1131 10110
1132 10111
1133 10112
1200 10120
1201 10121
1202 10122
1203 10200