1. The problem states that uppercase letters are encoded in a prefix-free binary code, meaning no code is a prefix of another, ensuring unambiguous decoding. 2. We know the word TANTRA corresponds to the binary code 0010101100110010. 3. Break this code into letters: TANTRA has 6 letters, so split the 16-bit code into parts corresponding to letters. 4. Let\'s assume each letter corresponds to a fixed-length code segment. Since TANTRA has 6 letters and the code is 16 bits, the segments could vary, but the problem suggests variable length since the code is non-uniform. 5. The given code: 0 0 1 0 1 0 1 1 0 0 1 1 0 0 1 0 6. We attempt to segment using prefix-free condition by matching letters uniquely: - T: code segment 0010 - A: 1011 - N: 0011 - T: 0010 - R and A must be matched similarly. 7. From TANTRA to 0010101100110010, Split as: 00 101 011 0011 0010 (not symmetrical and no direct pattern) 8. Instead, notice if code for T is 0010, A is 1011, N is 0011, R can be found accordingly. 9. By matching the parts, deduce codes for letters: - A = 0101 - R = 1001 - T = 0010 10. The word ART corresponds to codes A (0101) R (1001) T (0010), so the combined code is 010110010010. 11. Among the options: ○ 01010001 ○ 00010110 ○ 01011001 ○ 01001011 12. The closest code to the combined A and R code (01011001) is the third option: 01011001 13. Therefore, the answer is 01011001. Final answer: 01011001