Number System

A number system is a systematic way of representing and expressing numbers. Different cultures and applications have developed various number systems throughout history, but some of the most commonly used systems include:

Decimal Number System (Base-10)

This is the most common number system used in everyday life. It uses the digits 0 through 9 to represent numbers. Each digit’s place value is a power of 10. For example, in the number 245, the digit 5 is in the units place, 4 is in the tens place (10^1), and 2 is in the hundreds place (10^2).

Binary Number System (Base-2)

Computers use the binary system, which only uses the digits 0 and 1. Each digit’s place value is a power of 2. Binary is fundamental to computer science and digital electronics.

Octal Number System (Base-8)

This system uses the digits 0 through 7. Each digit’s place value is a power of 8. Octal is less common today but has historical significance in computing.

Hexadecimal Number System (Base-16)

This system uses the digits 0-9 and the letters A-F to represent values from 0 to 15. Each digit’s place value is a power of 16. Hexadecimal is commonly used in computing, especially in programming and representing memory addresses.

Roman Numerals

This ancient system uses combinations of letters (I, V, X, L, C, D, M) to represent numbers. For example, I is 1, V is 5, X is 10, and so on. The system is additive, meaning values are added together, but there are also subtractive combinations (e.g., IV for 4).

Ternary Number System (Base-3)

This system uses the digits 0, 1, and 2. Each digit’s place value is a power of 3. While less common than binary or decimal, it’s sometimes used in mathematical and computer science contexts.

Complex Number System

This system represents numbers in the form a + bi, where “a” and “b” are real numbers, and “i” is the imaginary unit (i.e., the square root of -1). Complex numbers are used in various branches of mathematics and engineering.

Different number systems are suitable for different applications. For instance, binary is well-suited for computer operations, while decimal is convenient for everyday calculations. Understanding these systems is essential in various fields, including mathematics, computer science, and engineering.

The number system can best be demonstrated by the following diagram:

Frequently Asked Questions

Grade 6 Science Worksheets

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Grade 6 Math Worksheets

• Probability
• Ratio
• Sequence & Patterns
• Division Word Problems  (New)
• Solving two step equations (New)
• One Step Equation  (New)
• Place Value  (New)
• Two Step Equation  (New)
• To convert percents to decimals and vice versa  (New)
• To convert Percents to Fractions and vice versa  (New)