Numbers

Numbers are the basis for all of mathematics. In this module, we’ll explore how mathematicians group different types of numbers into separate categories. We’ll do a deep dive into the mathematics of 2D Euclidean Vector. This will be followed by a review of how numbers are represented in different numeral systems. Lastly, we investigate how whole and real numbers are stored in binary by computers.

Objectives

Upon completion of this module, you should be able to:

  • Describe the various categories of numbers used by mathematicians.
  • Describe the concept of a Euclidean Vector.
  • Perform mathematical calculation using 2D vectors.
  • Describe how numbers are represented in place-value numeral systems.
  • Define decimal, binary, hexadecimal numeral systems.
  • Convert between these numeral systems.
  • Count using the binary and hexadecimal systems.
  • Explain how computers represent real numbers.
  • Convert real numbers to the binary IEEE 754 format.

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