Solution

The correct option is (1)

Concept:-

In the number system, we know hexadecimal is base 16 and octal is base-8 

Calculation:

To convert hexadecimal D.C to octal,

First, convert D.C₁₆ into decimal

= D₁₆ 

= D × 16⁰ + C × 16^-1

= 13.75₁₀

Now, we have to convert 13.75₁₀ to octal

13/8 = 1 with remainder 5

1/8 = 0 with remainder 1

13 = 15 ----(1)

For converting decimal fraction 0.75 to octal number,

0.75 × 8 = 6 + 0

0.75 = 0.6 ---(2)

∴ 13.75₁₀ = 15.6₈ ------ [ from (1) and (2)

Hence, hexadecimal number D.C converted to octal is equals: 15.6