NIMCET 2012 — Computer PYQ

The correct answer is (b) 72.

Step 1: Group the binary bits

To convert binary to octal, we group the bits into sets of three starting from the right (LSB).

Step 2: Convert each group to its decimal equivalent

We use the positional weights $2^2,2^1,2^0$ for each 3-bit group:

• First group (Right): $(010{)}_2$

  $$0\times 2^2+1\times 2^1+0\times 2^0=0+2+0=2$$

• Second group (Left): $(111{)}_2$

  $$1\times 2^2+1\times 2^1+1\times 2^0=4+2+1=7$$

Step 3: Combine the results

Combining the digits $7$ and $2$ gives us the octal value.