4 replies to this topic

[wolfgang]

If:
10=+0+0
16=+--+
18=00-+
22=++-+
29=-+0+
find,
15 and 21

[vinay.singh84]

Spoiler for answer

15=0--+
21=0+-+

[wolfgang]

Spoiler for answer

15=0--+
21=0+-+

very good!

[Huruey]

Spoiler for Explanation

It's a ternary numeral system with the least significant trit on the left, where each trit can have a value of -1, 0 or 1, represented as -, 0 and + respectively.

0 = 0000 = 0*1 + 0*3 + 0*9 + 0*27
1 = +000 = 1*1 + 0*3 + 0*9 + 0*27
2 = -+00 = -1*1 + 1*3 + 0*9 + 0*27
3 = 0+00 = 0*1 + 1*3 + 0*9 + 0*27
4 = ++00 = 1*1 + 1*3 + 0*9 + 0*27
5 = -0+0 = -*1 + 0*3 + 1*9 + 0*27
...
15 = 0--+ = 0*1 - 1*3 - 1*9 + 1*27
...
21 = 0+-+ = 0*1 + 1*3 - 1*9 + 1*27

etc.

Edited by Huruey, 01 September 2012 - 08:33 PM.

[wolfgang]

Spoiler for Explanation

It's a ternary numeral system with the least significant trit on the left, where each trit can have a value of -1, 0 or 1, represented as -, 0 and + respectively.

0 = 0000 = 0*1 + 0*3 + 0*9 + 0*27
1 = +000 = 1*1 + 0*3 + 0*9 + 0*27
2 = -+00 = -1*1 + 1*3 + 0*9 + 0*27
3 = 0+00 = 0*1 + 1*3 + 0*9 + 0*27
4 = ++00 = 1*1 + 1*3 + 0*9 + 0*27
5 = -0+0 = -*1 + 0*3 + 1*9 + 0*27
...
15 = 0--+ = 0*1 - 1*3 - 1*9 + 1*27
...
21 = 0+-+ = 0*1 + 1*3 - 1*9 + 1*27

etc.

Yes....thats it....