Topic Details (Notes format)

How to Convert Between Different Number Bases

Subject: Mathematics

Book: Maths Mastery

Number systems like binary (base 2), octal (base 8), and hexadecimal (base 16) appear in computing, while decimal is base 10. To convert a decimal integer to binary, repeatedly divide by 2, gathering remainders. For example, 13 in binary is 1101. Reversely, sum place values 1×2³+1×2²+0×2¹+1×2⁰=8+4+0+1=13. Conversions among bases are vital in digital electronics, programming (memory addresses), or cryptographic systems. Mastering them fosters agility with computational tasks and fosters deeper understanding of how digital systems store and process numbers.

Practice Questions

What is the value of log₃(27)?

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What is the sum of the interior angles of a hexagon?

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If the sum of the angles of a polygon is 1080°, how many sides does the polygon have?

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If the ratio of two numbers is 3:5 and their HCF is 4, what are the numbers?

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If sin(θ) = 0.6 and θ is acute, what is cos(θ)?

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If 5x - 2 = 13, what is the value of x?

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What is the 7th term of the arithmetic progression 3, 6, 9, 12,...?

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What is the sum of all odd numbers from 1 to 99?

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What is the sum of all even numbers between 1 and 50?

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If a + b = 10 and ab = 21, what is the value of a^2 + b^2?

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