1. The problem is to verify the correctness of the statement: Mantissa: 011011102 = 1101001101110 binary = 110 denary. 2. First, let's clarify what a mantissa is: In binary floating-point representation, the mantissa (or significand) is the part of a number that contains its significant digits. 3. The given mantissa is 011011102. Note that the digit '2' is not valid in binary, which only uses digits 0 and 1. This suggests a typo or error. 4. Assuming the intended mantissa is 01101110 (without the '2'), let's convert it to decimal: $$01101110_2 = 0\times2^7 + 1\times2^6 + 1\times2^5 + 0\times2^4 + 1\times2^3 + 1\times2^2 + 1\times2^1 + 0\times2^0$$ $$= 0 + 64 + 32 + 0 + 8 + 4 + 2 + 0 = 110$$ 5. The binary number 1101001101110 is a different binary number. Let's convert it to decimal: $$1101001101110_2 = 1\times2^{12} + 1\times2^{11} + 0\times2^{10} + 1\times2^9 + 0\times2^8 + 0\times2^7 + 1\times2^6 + 1\times2^5 + 0\times2^4 + 1\times2^3 + 1\times2^2 + 1\times2^1 + 0\times2^0$$ $$= 4096 + 2048 + 0 + 512 + 0 + 0 + 64 + 32 + 0 + 8 + 4 + 2 + 0 = 6766$$ 6. The decimal value 110 does not equal 6766, so the statement that 011011102 = 1101001101110 binary = 110 denary is incorrect. 7. Conclusion: The presence of '2' in the mantissa invalidates the binary number, and the two binary numbers given do not represent the same decimal value. Therefore, the statement is not correct.