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Number Systems

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Questions and Answers

What is the primary function of a numeral system?

• To perform arithmetic operations
• To reflect a number's geometric structure
• To offer standard representation (correct)
• To represent a set of numbers (correct)
• What is the basis of the decimal number system?

• The number of sides on a light switch
• The number of digits on a foot
• The number of strokes on a tree bark
• The number of fingers on a human hand (correct)
• What is the term used to describe a single symbol in a number system?

• Symbol
• Number
• Digit
• Numeral (correct)
• What is the total number of numerals in the decimal number system?

<p>10</p> Signup and view all the answers

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

<p>6000</p> Signup and view all the answers

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

<p>2</p> Signup and view all the answers

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

<p>0 and 1</p> Signup and view all the answers

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

<p>It is more convenient than a base-10 system</p> Signup and view all the answers

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

<p>Digit count</p> Signup and view all the answers

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

<p>The number will increase its value by 5</p> Signup and view all the answers

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.

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