## Questions and Answers

What is the primary function of a numeral system?

What is the basis of the decimal number system?

What is the term used to describe a single symbol in a number system?

What is the total number of numerals in the decimal number system?

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What is the value of the digit 6 in the number 63558?

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What is the base or radix of the binary number system?

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What are the two numerals used in the binary number system?

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What is the advantage of using a base-2 system in digital electronic systems?

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What is the term used to describe the number of digits in a number?

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What is the result of substituting 4 with 9 in the number 63558?

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## Study Notes

### Numeral System

- A numeral system represents a useful set of numbers, reflecting a number's arithmetic and algebraic structure, and offers a standard representation.

### History of Numeral System

- The concept of numbers originated from counting quantities in the environment, dating back to the early days of civilization.
- People may have initially used strokes on the bark of a tree to count, later switching to using their fingers, which formed the basis of a decimal number system.

### Decimal Number System

- The decimal number system is based on ten and has ten numerals: 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.
- Any higher number can be formed with a combination of these numerals.
- Each of the ten numerals is called a digit.

### Number System Characteristics

- The base or radix of a number system indicates the number of distinct symbols or numerals used to represent quantities.
- The decimal number system has a base of ten, while the binary number system has a base of two.

### Binary Number System

- The binary number system is a base-2 system, using only two numerals: 0 and 1.
- The binary system is more convenient for digital electronic systems than the decimal system.
- The two numerals in the binary system can be represented with simple devices, such as a light switch with two sides.

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## Description

A method of writing numbers mathematically using digits and symbols. Learn about the representation of numbers and their arithmetic and algebraic structure.