Decimal to Base Conversion: Hexadecimal, Quaternary, Binary
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Questions and Answers

What is the result of converting 583 from base 10 to base 16?

  • 1BD
  • 2EF
  • 36G (correct)
  • 4A7
  • When converting a number from base 10 to base 16, what is involved in the process?

  • Multiplying by powers of 16 and adding the remainders (correct)
  • Dividing by powers of 16 and adding the remainders
  • Adding powers of 16 and multiplying the remainders
  • Subtracting powers of 16 and adding the remainders
  • What is the result of converting 45 from base 10 to base 2 (binary)?

  • 111010
  • 110011
  • 101101 (correct)
  • 100110
  • Study Notes

    • The text discusses the conversion of decimal numbers to other number systems, specifically base 16 (hexadecimal).
    • The speaker uses the example of converting 583 (base 10) to base 16, which results in "36G" (in base 16).
    • The speaker describes the process of expanding the base 10 number into base 16, involving powers of 16 and remainders.
    • The text also includes an example of converting 45 (base 10) to base 4 (quaternary) and then to base 2 (binary).
    • The speaker asks the audience to try converting some numbers to different bases and encourages them to value their mathematics skills.

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    Description

    Explore the process of converting decimal numbers to different number systems such as base 16 (hexadecimal), base 4 (quaternary), and base 2 (binary). Understand the concept of expanding a base 10 number into other bases using powers and remainders. Test your skills in number system conversions.

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