how to convert fractions to binary point | Summary and Q&A

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September 30, 2018
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blackpenredpen
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how to convert fractions to binary point

TL;DR

Learn how to convert fractions into binary using only zeroes and ones.

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Questions & Answers

Q: How do you convert fractions into binary using only zeroes and ones?

To convert fractions into binary, you can use long division. By placing the fraction inside and the divisor outside, you divide and write the remainders as binary digits. The repeating pattern indicates the binary representation of the fraction.

Q: Why is a binary point used instead of a decimal point?

A binary point is used because binary numbers only have two digits (zero and one), unlike decimal numbers that have ten digits. The binary point indicates the separation between the integer and fractional parts of a binary number.

Q: How do you convert 1/1011 into binary?

To convert 1/1011 into binary, use long division. As the division progresses, the pattern "0.0011" repeats indefinitely, indicating the binary representation as 0.0011 with a bar over the repeating part.

Q: What is the significance of the repeating part in the binary representation?

The repeating part in the binary representation signifies an infinite repeating pattern in the binary number. It is denoted by placing a bar over the repeating part, indicating that the pattern continues indefinitely.

Summary & Key Takeaways

  • The content demonstrates how to convert fractions into binary using long division.

  • A binary point is used instead of a decimal point to indicate the fraction's value in binary form.

  • The process is shown step-by-step for fractions such as 1/10, 1/11, and 1/1010.

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