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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Quater-imaginary base ： ウィキペディア英語版 Quater-imaginary base The quater-imaginary numeral system was first proposed by Donald Knuth in 1955, in a submission to a high-school science talent search. It is a non-standard positional numeral system which uses the imaginary number 2''i'' as its base. It is able to (almost) uniquely represent every complex number using only the digits 0, 1, 2, and 3. (Numbers less than zero, which are ordinarily represented with a minus sign, are representable as digit strings in quater-imaginary; for example, the number −1 is represented as "103" in quater-imaginary notation.) ==Decompose the quater-imaginary== $\backslash ldots\; d\_3d\_2d\_1d\_0.d\_d\_d\_\backslash ldots$ means :$\backslash ldots\; +\; d\_3\backslash cdot\; b^3+d\_2\backslash cdot\; b^2+d\_1\backslash cdot\; b+d\_0+d\_\backslash cdot\; b^+d\_\backslash cdot\; b^+d\_\backslash cdot\; b^\backslash ldots$ :$b\; =\; 2i$. as we know, :$(2i)^2=-4$. so, :$\backslash ldots\; +\; d\_3\backslash cdot\; (2i)^3+d\_2\backslash cdot\; (2i)^2+d\_1\backslash cdot\; (2i)+d\_0+d\_\backslash cdot\; (2i)^+d\_\backslash cdot\; (2i)^+d\_\backslash cdot\; (2i)^\backslash ldots$ :$=()+2i\backslash cdot((-4)^+d\_\backslash cdot\; (-4)^+\backslash ldots)$. The real and imaginary parts of this complex number are thus readily expressed in base −4 as $\backslash ldots\; d\_4d\_2d\_0.d\_\backslash ldots$ and $\backslash ldots\; d\_5d\_3d\_1.d\_d\_\backslash ldots$ respectively. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Quater-imaginary base」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.