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NIMCET 2021 — Computer PYQ

NIMCET | Computer | 2021

The number $(2217)_{8}$ is equivalent to

Choose the correct answer:

Explanation

Step 1: Convert Octal to Binary

Each octal digit represents 3 binary bits ( $2^3 = 8$ ).

$2 \to 010$
$2 \to 010$
$1 \to 001$
$7 \to 111$

So, $(2217)_8$ in binary is:

(010010001111)_2

Step 2: Convert Binary to Hexadecimal

Group the binary digits into sets of 4 (starting from the right), as each hex digit represents 4 bits ( $2^4 = 16$ ).

The first group (right): $1111 \to \mathbf{F}$
The second group: $1000 \to \mathbf{8}$
The third group (left): $0100 \to \mathbf{4}$

Putting them together, we get $48F$ . Adding a leading zero for 16-bit formatting gives you:

\mathbf{(048F)_{16}}