Which of the following is the correct octal representation of the binary…

The correct answer is D) 56.

Here is a quick and simple way to solve this conversion:

To convert a binary number to octal (base-8), you simply group the binary bits into sets of three, starting from the right (least significant bit) toward the left. Then, convert each 3-bit group into its decimal equivalent:

1. Group the bits: 101 and 110

2. Convert the first group (left): 1012 = (1 x 4) + (0 x 2) + (1 x 1) = 5

3. Convert the second group (right): 1102 = (1 x 4) + (1 x 2) + (0 x 1) = 6

Combining the digits gives you 56 in octal.