Use the base four system to find the counting numbers just b

Use the base four system to find the counting numbers just before and just after 23 four

Solution

Base four system uses the digits 0,1,2,3 only to represent any number.

(for example the numbers we use daily are in base 10 system, which uses the digits 0,1,2,3,4,5,6,7,8,9 to represent any number)

So the numbers in base four system are 0,1,2,3,10,11,12,13,14,20,21,22,23,30,31,32,33,100,101,102,103,110,111,112,113,120,121,122,123,130,131,132, 133,200,201,.......................

hence the counting of numbers in base four system is as follows

.....

......

......

(etc)

hence

The answer is \"for numbers just before 23₄ are 10 and just after 23₄ are infinite\"

number in base 4 system	count
1	1
2	2
3	3
10	4
11	5
12	6
13	7
20	8
21	9
22	10
23	11
30	12
31	13
32	14
33	15
100	16
101	17
102	18
..........
.............
......................
etc