Question

Give the following number
in Base 8.
110110012 = [?]8

Answer 1

The binary number 110110012 is equivalent to the octal number 15418 when the binary digits are grouped in sets of three from right to left and converted to their octal equivalents.

Step-by-step explanation:

To give the following number in Base 8, 110110012 must be converted. To convert a binary (base 2) to octal (base 8) number, we can group the binary digits into sets of three, starting from the right, because each octal digit corresponds to exactly three binary digits. In this case, we have:

Binary: 1 101 100 1
Octal Equivalents: 1 (binary 001), 5 (binary 101), 4 (binary 100), and 1 (as it is).

Putting these together, the binary number 110110012 in octal is 15418.