{"id":42930,"date":"2024-04-15T21:22:12","date_gmt":"2024-04-15T21:22:12","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=42930"},"modified":"2024-04-15T21:22:12","modified_gmt":"2024-04-15T21:22:12","slug":"the-octal-equivalent-of-the-number-11010-1011-is","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/the-octal-equivalent-of-the-number-11010-1011-is\/","title":{"rendered":"The octal equivalent of the number 11010.1011 is"},"content":{"rendered":"

[amp_mcq option1=”32.54″ option2=”63.51″ option3=”32.27″ option4=”All of the above E. None of the above” correct=”option3″]<\/p>\n

The correct answer is $\\boxed{\\text{C) 32.27}}$.<\/p>\n

To convert a number from decimal to octal, you can use the following steps:<\/p>\n

    \n
  1. Divide the decimal number by 8 repeatedly until the remainder is 0.<\/li>\n
  2. Write down the quotients in reverse order, starting with the largest.<\/li>\n
  3. If the remainder is not 0, add 1 to the last digit of the octal number.<\/li>\n<\/ol>\n

    For example, to convert the number 11010.1011 to octal, we would do the following:<\/p>\n

      \n
    1. $11010.1011 \\div 8 = 138.125$<\/li>\n
    2. $138 \\div 8 = 17 \\text{ R } 4$<\/li>\n
    3. $17 \\div 8 = 2 \\text{ R } 3$<\/li>\n
    4. $2 \\div 8 = 0$<\/li>\n
    5. The octal equivalent of 11010.1011 is $173.4$.<\/li>\n<\/ol>\n

      However, in this case, the number 11010.1011 is not a valid octal number. This is because the octal number system only has the digits 0, 1, 2, 3, 4, 5, 6, and 7. Therefore, the octal equivalent of 11010.1011 is $\\boxed{\\text{32.27}}$, which is the decimal equivalent of $173.4$ rounded to two decimal places.<\/p>\n","protected":false},"excerpt":{"rendered":"

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