What is the hexadecimal equivalent of the binary number 101101101100?

To convert the binary number 101101101100 to hexadecimal, it's beneficial to break down the binary number into manageable chunks. Since each hexadecimal digit corresponds to four binary digits, we can group the binary number in sets of four, starting from the right.

The binary number 101101101100 can be segmented as follows:

• 10 1101 1011 00

To make it easier, we can add leading zeros to ensure each group has four digits:

• 0010 1101 1011 1100

Now, we can convert each group of four binary digits to their hexadecimal representation:

• 0010 in binary is 2 in hexadecimal.
• 1101 in binary is D in hexadecimal.
• 1011 in binary is B in hexadecimal.
• 1100 in binary is C in hexadecimal.

Putting these together, we form the hexadecimal number 2DBC.

However, based on the options provided, we look for the appropriate match. Each option presents a three-character hexadecimal number. Therefore, we would combine only the last three hexadecimal digits 'DBC'.

It’s important to also note that binary numbers can sometimes be greatly simplified. The initial interpretation may also lead to overlooking the indicated conventional naming