Balanced Ternary - Convert A Number To Balanced Ternary

Convert A Number To Balanced Ternary

We may convert to balanced ternary with the following formula:

(a_na_{n-1}\cdots a_1a_0.c_1 c_2 c_3\cdots)_b = \sum_{k=0}^n a_kb^k + \sum_{k=1}^\infty c_kb^{-k}.

The is the original representation in the original numeral system.

The b is the original radix. If we convert a decimal number to balanced ternary, b is 10 in decimal.

The numbers and are the weights of the corresponding digits.

The k is the position away fom the radix point.

The and is the number at the position k.

If we convert a number to balanced ternary, we should use balanced ternary representation of the base b and position k .


Such as:

-25.410=-(1T×1011+1TT×1010+11*101-1) =-(1T×101+1TT+11÷101) =-10T1.11TT =T01T.TT11 1010.12=1T100+1T1+1T-1 =10T+1T+0.1 =101.1

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