今年是公元2025年。 如何理解下面这段话: 我出生于公元7D2年,今年17岁了。

Создано: 18 февраля 2025 г.

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Вопрос

今年是公元2025年。
如何理解下面这段话:
我出生于公元7D2年,今年17岁了。

Мысль

Analyzing the date confusion

Okay, let's break this down. The user says they were born in "7D2," which seems like it's in hexadecimal. So, 7D2 in hex equals 2002 in decimal — I got that! But... hmm, the user claims they are 17 years old in 2025. That would mean they were born in 2008, not 2002! That's puzzling. Maybe there's something else going on here, like a typo or a different calendar system. Hmm, let me check again. We’ve got 2025 minus 2002, and that’s actually 23 years, not 17.

Evaluating the date confusion

Alright, the statement has a contradiction if we assume "7D2" is in decimal, because 2025 - 2002 equals 23, not 17. But if "7D2" was hex, it would be 2002, so the age would be 23. So if the narrator is 17 in 2025, they should’ve been born in 2008. Wait, could "7D2" be a system other than hexadecimal? Maybe base 12 or base 14, but "D" doesn’t quite fit in base 12. Hmm, looks like "7D2" really should represent 2008 somehow. I'll keep thinking.

Exploring numeral systems

Alright, "7D2" should represent 2008, but when I try different bases like 15, 18, or 20, nothing works quite right. In hex, it represents 2002, which makes the age 23, not 17. So maybe the numeral system isn't hex; maybe "D" stands for a different value in another system. I can even set up an equation with the unknown base, but trying to solve it led me to a non-perfect square, so I’m still stuck. It's possible the numeral system is mixed or the text has a typo.

Reasoned for 20 seconds

Ответ

这段话在玩数字进制的把戏。当前年份“2025”是按十进制写的,但后面的出生年份“7D2”和年龄“17”是用十六进制表示的。

具体来说:

  • 十六进制的“7D2”转换成十进制是:
    7 × 16^2 + D(13) × 16 + 2 = 7 × 256 + 13 × 16 + 2 = 1792 + 208 + 2 = 2002。
    也就是说,实际上“公元7D2年”就是公元2002年。
  • 十六进制的“17”转换成十进制是:
    1 × 16 + 7 = 16 + 7 = 23。
    也就是说,他实际年龄是23岁。

而公元2025年减去2002年,得到的正好是23岁。
因此,这段话的意思是:
“我出生于公元2002年,今年23岁了”,不过用的是十六进制写法,使得看起来像是“7D2年”和“17岁”。

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