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If possible, briefly explain how to answer these questions so I may be able to complete them in the future. 13. We have a 9bit

If possible, briefly explain how to answer these questions so I may be able to complete them in the future. 13. We have a 9bit FP representation based on the IEEE 754 standard: 1 for the sign, 4 for the exponent and 4 for the fraction. You may need to round. You should show your work for partial credit. Please show answers in binary. (a) Represent 0.125 (1/8) in this system. (b) Represent 5.25 in this system. (c) Obtain the product of the two numbers from (a) and (b) above: Add the two exponents using exponent encoding: Multiply the two significands including rounding: Give the result in 9-bit binary format. (d) Obtain the sum: Normalize so both have same exponent: Now show the sum, which may require normalizing exp or rounding. 14. What decimal value is represented by the following bit string when interpreted as a single precision floating point value: 0x43008000? 15. Represent decimal 63.0 as a single precision floating point value (in hex).

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