NIMCET 2013 — Computer PYQ

Each Hexadecimal digit represents $4$ bits.

• $4=0100$

• $D=1101$ (since $D=13$ in decimal)

• $F=1111$ (since $F=15$ in decimal)

Combining them, we get the binary string:

Step 2: Group Binary into sets of 3 (from right to left)

Octal digits represent $3$ bits. We group our binary string into sets of three, starting from the rightmost bit:

Step 3: Convert each group to Octal

Now, convert each $3$-bit binary group back into its decimal (octal) equivalent:

• $010=2$

• $011=3$

• $011=3$

• $111=7$

Combining these digits gives us the Octal number:

Conversion Summary Table