The representation of the value of a 16-bit unsigned integer \(X\) in…

Method: Convert hexadecimal to binary, then group into 3-bit blocks to get octal.

• Step 1 — Hex to binary: B = 1011, C = 1100, A = 1010, 9 = 1001 → combined binary: 1011110010101001.

• Step 2 — Pad to a multiple of 3 bits: add two leading zeros → 001011110010101001

• Step 3 — Group into 3-bit blocks and convert each to an octal digit:

  001 → 1, 011 → 3, 110 → 6, 010 → 2, 101 → 5, 001 → 1

  Result: octal 136251

• Optional check: Hex BCA9 = decimal 48297, and converting 48297 to octal also gives 136251, confirming the result.