How is the integer part 329 converted to hex?

Repeated division by 16, reading remainders bottom to top

How is the fractional part 0.54 converted?

Repeatedly multiply the fraction by 16 and take the integer parts in order

Multiply by 10 and read the remainders

Convert it like the integer part

Short answer

Divide 329 by 16 to get 149; multiply 0.54 by 16 repeatedly to get 8, A, 3, D, 7. Result: (149.8A3D7)₁₆ (approx).

Convert (329.54)₁₀ = (?)₁₆.

Integer part: 329 ÷ 16 = 20 r 9; 20 ÷ 16 = 1 r 4; 1 ÷ 16 = 0 r 1 → $(149)_{16}$ .

Fraction part (multiply by 16):

The fraction does not terminate, so we stop at 5 digits.

Answer: $(329.54)_{10} \approx (149.8A3D7)_{16}$

✓ Answer checked by Claude Opus 5.5 (high effort)