Understanding Binary: Why Does 111 Equal 7 in Decimal?

Learn why the binary number 111 converts to decimal 7 and how binary works in this short Q&A.

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The binary number 111 equals the decimal number 7. In binary, each digit represents a power of 2. Starting from the right, the digits are 2^0, 2^1, and 2^2. Therefore, 12^2 + 12^1 + 1*2^0 = 4 + 2 + 1 = 7.

FAQs & Answers

  1. What is the binary number system? The binary number system uses only two digits, 0 and 1, to represent numbers, making it essential for computer operations.
  2. How do I convert binary to decimal? To convert binary to decimal, multiply each digit by 2 raised to the power of its position from right to left and sum the results.
  3. Why is binary important in computing? Binary is crucial in computing as it represents on/off states in electronic devices and forms the basis for all digital systems.

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For more insights on number systems and conversions, check out our videos on binary arithmetic and decimal notations to deepen your understanding.

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