Which of the following floating point numbers is represented by the 0 1000…

First, parse the 32-bit binary string into IEEE 754 single precision components. The sign bit is 0, indicating a positive number. The exponent bits are 1000 0011, which equals 131 in decimal. Subtracting the bias of 127 gives an actual exponent of 4. The mantissa bits represent a fraction that combines with the implicit leading one to form 1.578125. Finally, multiply this significand by 2 to the power of 4 to get the final value of 25.25.