Bifalgorithm post · Brisk · Chapter 1

Which base-conversion claims require calculating the exact value?

Which base-conversion claims require calculating the exact value? (Brisk · Chapter 1) — "4. If I told you that the decimal number 2022 was equal to 1231₆, woul…

Ideas in this flowchart

  • La comparación de 2022 con representaciones en otras bases requiere hacer cálculos.
  • No se debe acusar de mentir basándose únicamente en una mirada rápida.
  • Caso en base seis: se afirma que 2022 = 1231₆.
  • La afirmación es falsa; la representación correcta es 1321₆.
  • La falsedad de 1231₆ no puede determinarse fácilmente a simple vista.
  • Caso en base dieciséis: se afirma que 2022 = 7E₁₆.
  • La afirmación es correcta.
  • Es necesario trabajar el cálculo para comprobar la igualdad en cada caso.
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Which base-conversion claims require calculating the exact value?

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Brisk

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"4. If I told you that the decimal number 2022 was equal to 1231₆, would you call me a liar without even having to think too hard? No, you shouldn’t, because you do have to think hard for this one. As it happens, I am a liar (the true answer is 1321₆), but there’s no easy way to know that at a glance.\n\n5. If I told you that the decimal number 2022 was equal to 7E₁₆, would you call me a liar without even having to think too hard? No, you shouldn’t, because you do have to think hard for this one. (And in fact, it’s correct! Work it out.)"

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