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Ternary (base 3) to Senary (base 6)

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The ternary numeral system (also called base-3) has three as its base. Analogous to a bit, a ternary digit is a trit (trinary digit). One trit is equivalent to log23 (about 1.58496) bits of information.

conversion table

ternary (base 3)senary (base 6)ternary (base 3)senary (base 6)
1= 1102= 15
2= 2110= 20
10= 3111= 21
11= 4112= 22
12= 5120= 23
20= 10121= 24
21= 11122= 25
22= 12200= 30
100= 13201= 31
101= 14202= 32

The senary numeral system (also known as base-6 or heximal) has six as its base. It has been adopted independently by a small number of cultures. Like decimal, it is a semiprime, though being the product of the only two consecutive numbers that are both prime (2 and 3) it has a high degree of mathematical properties for its size. As six is a superior highly composite number, many of the arguments made in favor of the duodecimal system also apply to this base-6.

conversion table

senary (base 6)ternary (base 3)senary (base 6)ternary (base 3)
1≈ 115≈ 102
2≈ 220≈ 110
3≈ 1021≈ 111
4≈ 1122≈ 112
5≈ 1223≈ 120
10≈ 2024≈ 121
11≈ 2125≈ 122
12≈ 2230≈ 200
13≈ 10031≈ 201
14≈ 10132≈ 202