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Problem 5: Floating point (20 points) 1. Are there numerical values that can be represented as a 32-bit two's complement integer, but not a 32-bit IEEE 754 single precision number? If so, give an example. If not, explain why. (20 words or fewer) [2 points] 2. Are there numerical values that can be represented as a 32-bit IEEE 754 single precision number, but not a 32-bit two's complement integer? If so, give an example. If not, explain why. (20 words or fewer) [2 points] 3. Add the following 32-bit IEEE-754 floating point numbers, showing intermediate work as requested. Express your final answer in hexadecimal. Show your work; do not simply convert the numbers to decimal, add them together, and convert back. [3 points) Ob OxC30E6800 Sign bit: Exponent bits: Mantissa bits: Ob Ob [3 points) 0x41CA0000 Sign bit: Exponent bits: Ob Ob Mantissa bits: Ob Show your work adding the numbers here: Ob OxC30E6800 + 0x41CA0000 Sign bit: Ob Exponent bits: Mantissa bits: Ob Final answer: Ox Decimal value: [1 point] [2 points] [4 points] [2 points) [1 point] Problem 5: Floating point (20 points) 1. Are there numerical values that can be represented as a 32-bit two's complement integer, but not a 32-bit IEEE 754 single precision number? If so, give an example. If not, explain why. (20 words or fewer) [2 points] 2. Are there numerical values that can be represented as a 32-bit IEEE 754 single precision number, but not a 32-bit two's complement integer? If so, give an example. If not, explain why. (20 words or fewer) [2 points] 3. Add the following 32-bit IEEE-754 floating point numbers, showing intermediate work as requested. Express your final answer in hexadecimal. Show your work; do not simply convert the numbers to decimal, add them together, and convert back. [3 points) Ob OxC30E6800 Sign bit: Exponent bits: Mantissa bits: Ob Ob [3 points) 0x41CA0000 Sign bit: Exponent bits: Ob Ob Mantissa bits: Ob Show your work adding the numbers here: Ob OxC30E6800 + 0x41CA0000 Sign bit: Ob Exponent bits: Mantissa bits: Ob Final answer: Ox Decimal value: [1 point] [2 points] [4 points] [2 points) [1 point]