グローバルビジネスで役立つ数学(46)n 進法を 10 進法に直す(英語版)

Hi there!

It took me several months to get into the habit of taking notes when receiving a phone call from business partners or a piece of advice from my seniors while working at a trading company.

You know caution was advised, especially when callers started to leave my seniors or coworkers some messages, such as their phone numbers, required shipment date, counter prices, and whatnot.

Notations or memos were prerequisites for entry-level employees when land phones were rampant in business; however, my scribbled, unreadable memos often made my boss blow his top, resulting in feeling blue and depressed in my heart.

Notations have no small effect on smoother verbal and non-verbal communications and business establishment. They show your mindsets and professionalism. A sloppy memo mirrors your disorganization. Again, caution is advised.

Today, let me challenge the notation system of base \(n\).

Represent the ternary 1205 in decimal code.

Here is my solution tot the problem.

First of all, we must represent the number 1205 in decimal code.
\(1205_{(10)} = 1✕10^{3} + 2✕10^{2} + 0✕10^{1} + 5\)

Then, replace the number 10 on the right-hand side with the 3 to make the original number 1205 into its decimal code. Thus,

(Answer) \(1205_{(3)}= 1✕3^{3} + 2✕3^{2} + 0✕3^{1} + 5 = 27 + 18 + 0 + 5 = 50_{(10)}\)

Today’s Yahoo news reported that some of the Hanshin Tigers batters had gone down on strikes (literally in Japanese, “Hanshin-no Senshu-ga Sanshin-ni Taoreta”). Can we represent “Hanshin” and “Sanshin” in the notation system of base \(\frac{1}{2}\) and ternary system \(3\,\)?

Stay tuned, and expect to see my next post.

Keep well.

Frank Yoshida

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【グローバルビジネスで役立つ数学】でもっと学習する b^^)
【参考図書】『もう一度高校数学』(著者:高橋一雄氏)株式会社日本実業出版社
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