Concept:
Rearrangement of letters follows a specific position pattern.
Step 1: Analyze HILTON → IHTLNO.
Original:
\[
H\ I\ L\ T\ O\ N
\]
Coded:
\[
I\ H\ T\ L\ N\ O
\]
Pattern:
\[
(2,\ 1,\ 4,\ 3,\ 6,\ 5)
\]
i.e., letters are swapped in pairs:
\[
(1 \leftrightarrow 2),\ (3 \leftrightarrow 4),\ (5 \leftrightarrow 6)
\]
Step 2: Apply to BILLION.
Original:
\[
B\ I\ L\ L\ I\ O\ N
\]
Swap in pairs:
\[
I\ B,\ L\ L,\ O\ I,\ N
\]
So result:
\[
I\ B\ L\ L\ O\ I\ N
\]
Hence, the coded word is IBLL0IN.