Base 3 to base 4 conversion

Base 3 to base 4 converter lets you convert number system between base 3 to base 4 and will give you the result with calculation steps and it also supports decimal numbers. Enter your number and choose bases below to start a conversion.

Result

How to convert 1 in base 3 to base 4?

1
1 base 3 = 1 base 4

Calculation steps

To convert 1 in base 3 to base 4, take the following steps.

  1. Convert 1 from base 3 to base 10.
  2. Convert result of the previous step from base 10 to base 4.

Step 1: convert 1 from base 3 to base 10

To start the calculation, let d is the number in each digit and n is the exponent of the number in that digit. Therefore, the steps can be shown in the following table.

Exponent (n)Digit (d)d x 3nCumulative sum
01 1 x 301

From the table above, it can be written as a conversion formula as:
(1 × 30)

Then calculate the sum of all the cumulative sums we get:
1 = 1

Step 2: convert from base 10 to base 4

Conversion from base 10 to base 4 can be done by dividing the number by 4 until the quotient is zero. The steps can be shown in the following table.

#Number divides 4QuotientRemaining
11 divides 401

When the division is complete, connect all the remainders of the division. Starting from the bottom of the table we get 1.

Therefore, 1 in base 3 can to converted to base 4 as 1.

Base 3 to base 4 conversions table

Here is a conversions table comparing the relationship between base 3 and base 4 by using 1 - 100 in base 10 as starting numbers.

Base 3Base 4
11
22
103
1110
1211
2012
2113
2220
10021
10122
10223
11030
11131
11232
12033
121100
122101
200102
201103
202110
210111
211112
212113
220120
221121
222122
1000123
1001130
1002131
1010132
1011133
1012200
1020201
1021202
1022203
1100210
1101211
1102212
1110213
1111220
1112221
1120222
1121223
1122230
1200231
1201232
1202233
1210300
1211301
1212302
1220303
1221310
1222311
2000312
2001313
2002320
2010321
2011322
2012323
2020330
2021331
2022332
2100333
21011000
21021001
21101002
21111003
21121010
21201011
21211012
21221013
22001020
22011021
22021022
22101023
22111030
22121031
22201032
22211033
22221100
100001101
100011102
100021103
100101110
100111111
100121112
100201113
100211120
100221121
101001122
101011123
101021130
101101131
101111132
101121133
101201200
101211201
101221202
102001203
102011210

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