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

Read more about this topic:  Balanced Ternary

Famous quotes containing the words convert a, convert, number and/or balanced:

    “Our institutions have a potent digestion, and may in time convert and assimilate to good all elements thrown in, however originally alien.”
    —Herman Melville (1819–1891)

    “Our institutions have a potent digestion, and may in time convert and assimilate to good all elements thrown in, however originally alien.”
    —Herman Melville (1819–1891)

    “A child’s self-image is more like a scrapbook than a single snapshot. As the child matures, the number and variety of images in that scrapbook may be far more important than any individual picture pasted inside it.”
    —Lawrence Kutner (20th century)

    “Much of the ill-tempered railing against women that has characterized the popular writing of the last two years is a half-hearted attempt to find a way back to a more balanced relationship between our biological selves and the world we have built. So women are scolded both for being mothers and for not being mothers, for wanting to eat their cake and have it too, and for not wanting to eat their cake and have it too.”
    —Margaret Mead (1901–1978)