Converting Decimal to Binary using Multiplication
30 Questions
0 Views

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition
Chat to lesson

Podcast

Play an AI-generated podcast conversation about this lesson

Questions and Answers

What does the last carry represent when converting a decimal number to its equivalent hex number?

  • Least significant bit (LSB) (correct)
  • Hexadecimal bit
  • Intermediate bit
  • Most significant bit (MSB)
  • In the process of converting 0.122 to its equivalent hex number, what does the '1' in '1.952' represent?

  • Least significant digit
  • Most significant digit (correct)
  • Intermediate digit
  • Hexadecimal digit
  • What is the equivalent hex digit for the decimal value 0.952?

  • 6
  • 3
  • B
  • F (correct)
  • When converting 0.392 to its equivalent hex number, what does the '6' in '6.272' represent?

    <p>Least significant digit</p> Signup and view all the answers

    In the conversion of (1248.56) base 10 to its equivalent hex number, what is the hex representation of '56'?

    <p>5C</p> Signup and view all the answers

    What is the hexadecimal value of (8476.47) base 10 after conversion?

    <p>213D.27</p> Signup and view all the answers

    What is the equivalent decimal number of the binary 1101110.011?

    <p>222.375</p> Signup and view all the answers

    What is the equivalent decimal number of the binary 1101.11?

    <p>15.25</p> Signup and view all the answers

    What is the equivalent decimal number of the binary 10001.01?

    <p>17.25</p> Signup and view all the answers

    When converting a binary number to decimal, what is the impact of a '0' bit in a particular position?

    <p>It adds zero to the result</p> Signup and view all the answers

    For the binary number 1011.001, what is the sum of products when converting it to decimal?

    <p>13.125</p> Signup and view all the answers

    What role does the positional weight play in converting binary numbers to decimal?

    <p>It indicates the value each bit contributes in the binary number</p> Signup and view all the answers

    What does the last carry in the process represent in converting a decimal number to its equivalent binary number?

    <p>Least Significant Bit (LSB)</p> Signup and view all the answers

    In converting a decimal number to its equivalent binary number, what should be done with the fractional number of the product during the process?

    <p>Multiply by 2 and record as the next bit to MSB</p> Signup and view all the answers

    What would be the binary equivalent of the decimal number (1248.56)10?

    <p>(11101101000.1001110)2</p> Signup and view all the answers

    What is the correct binary equivalent of (420.6)10?

    <p>(110100100.1001)2</p> Signup and view all the answers

    When converting a decimal number to binary, what does each step of multiplying by 2 represent?

    <p>Calculating the next bit towards LSB</p> Signup and view all the answers

    What is the binary equivalent of (8476.47)10?

    <p>(1000010001100.010101)2</p> Signup and view all the answers

    What is the equivalent decimal value of the binary number 1011.01?

    <p>13.75</p> Signup and view all the answers

    Convert the decimal number 0.6234 to base 8 (octal). What is the result?

    <p>0.4742</p> Signup and view all the answers

    What is the decimal equivalent of the hexadecimal number 4056?

    <p>9094</p> Signup and view all the answers

    In converting binary to decimal, what is the procedure that should be followed?

    <p>Multiply each bit with its corresponding weight and sum the products</p> Signup and view all the answers

    What is the correct procedure to convert a binary number into a decimal number?

    <p>Multiply each bit with its corresponding weight and sum the products</p> Signup and view all the answers

    When converting a hexadecimal number to decimal, what should you do?

    <p>Multiply each digit by its position value and add them together</p> Signup and view all the answers

    What is the procedure for converting a hexadecimal number into a decimal number?

    <p>Multiplying each bit in the binary number with the corresponding weight</p> Signup and view all the answers

    In the conversion process from a hex number to a decimal number, what do you do after writing down the hex number?

    <p>Write down the weights for different positions</p> Signup and view all the answers

    In converting a hex number 5826 to decimal, what does the '5' represent?

    <p>163</p> Signup and view all the answers

    What is the result of multiplying '8' by its corresponding weight in the hex number 5826?

    <p>2048</p> Signup and view all the answers

    After multiplying and adding all product numbers, what is the final decimal equivalent of hex number 5826?

    <p>22566</p> Signup and view all the answers

    What happens if you add all the digits of a hex number without following the conversion procedure?

    <p>The result will be incorrect</p> Signup and view all the answers

    More Like This

    Use Quizgecko on...
    Browser
    Browser