What is the octal equivalent of binary 110011?

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Prepare for the Biomedical Equipment Technician CDC Set A Volume 3 Exam with multiple choice questions and insightful explanations. Boost your confidence and knowledge, and get ready for your test!

To convert the binary number 110011 to its octal equivalent, we first group the binary digits into sets of three, starting from the right. If the leftmost group has fewer than three digits, we can add leading zeros to complete the group. In this case:

  • The binary number is 110011.
  • Grouping from the right: 110 011.

  • The leftmost group (110) represents the number 6 in decimal (4 + 2 + 0 = 6).

  • The rightmost group (011) represents the number 3 in decimal (0 + 2 + 1 = 3).

Now, we combine the two decimal values of the groups: 63. Consequently, the octal representation of the binary number 110011 is 63.

In reviewing the answer choices, 63 converts to octal 63, which means the correct answer reflects this conversion accurately. The other choices do not represent the correct octal equivalent of the binary number due to incorrect conversions or misinterpretations of the binary groups.

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