Binary Arithmetic Lecture 02: Addition and Subtraction
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Questions and Answers

What is the result of the binary addition: 01 + 11?

  • 01
  • 11
  • 10 (correct)
  • 00
  • In binary subtraction, what is the result of 10 - 01?

  • 01
  • 00
  • 10 (correct)
  • 11
  • What is the product of 11 and 10 in binary multiplication?

  • 11
  • 100 (correct)
  • 01
  • 10
  • What is the result of the binary division: 10 ÷ 01?

    <p>Not defined</p> Signup and view all the answers

    What is the purpose of using 1's complement in binary arithmetic?

    <p>To represent negative values</p> Signup and view all the answers

    In binary arithmetic, what is the result of transforming the binary number 101 to its 1's complement?

    <p>011</p> Signup and view all the answers

    Study Notes

    Binary Addition

    • The result of binary addition 01 + 11 is 100.
    • In binary, 1 + 1 results in 0 with a carry of 1 to the next higher bit.

    Binary Subtraction

    • The result of binary subtraction 10 - 01 is 1.
    • Borrowing is used in binary subtraction similar to decimal subtraction.

    Binary Multiplication

    • The product of 11 and 10 in binary multiplication is 110.
    • This is equivalent to multiplying 3 (11 in decimal) by 2 (10 in decimal).

    Binary Division

    • The result of binary division 10 ÷ 01 is 10.
    • Dividing by 01 in binary is equivalent to dividing by 1 in decimal, yielding the same number.

    1's Complement Purpose

    • 1's complement is used in binary arithmetic for representing negative numbers.
    • It simplifies subtraction operations by allowing addition of a negative value.

    1's Complement Transformation

    • The 1's complement of the binary number 101 is 010.
    • This is achieved by flipping each bit (changing 1s to 0s and 0s to 1s).

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    Quiz Team

    Description

    This quiz covers topics related to binary arithmetic, including rules of binary addition and subtraction, along with examples and activities to practice. Learn about binary addition, carrying, binary subtraction, and borrowing in this lecture.

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