b Appliances use a computer chip that operates with numbers in bases other than base 10. 4 Systems of Numeration The number system most of the world uses today, called the Hindu–Arabic system, is only one way to communicate numerically. In this chapter, we will study other systems of numeration. We will also study how to perform basic arithmetic in other bases and with methods other than those most of us were taught when we were children. Computers, appliances, GPS applications, gaming systems, smartphones, and other electronic devices all use a computer chip that operates with numbers in bases other than base 10. Artificial intelligence (AI) also heavily makes use of bases other than base 10. Understanding how to work with numbers in other bases can provide us with insight into how these devices work. These devices certainly play an increasing role in our lives today! Sections 4. 1 Additive, Multiplicative, and Ciphered Systems of Numeration 4. 2 Place-Value or Positional-Value Numeration Systems 4. 3 Other Bases 4. 4 Perform Computations in Other Bases 4. 5 Early Computational Methods Why This Is Important 171 Ufabizphoto/123RF
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