Question

Explain how you determine place values in any given number system.

A) Place values are irrelevant in number systems.
B) Place values are determined by counting backward from the decimal point.
C) Place values depend on the number of digits in a given number.
D) Place values are assigned based on the powers of the base.

Answer 1

Place values in any given number system are determined by the powers of the base. The place values are relative to the decimal point.

Step-by-step explanation:

In any given number system, place values are determined by the powers of the base. The place values are relative to the decimal point. Each place in the numbering system is ten times greater than the place to the right of it. For example, in the decimal system (base 10), the place values are determined by the powers of 10: ones, tens, hundreds, thousands, and so on. Similarly, in binary (base 2) system, the place values are determined by the powers of 2: ones, twos, fours, eights, and so on.