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1. We have a 9bit FP representation based on the IEEE 754 standard: 1 for the sign, 4 for the exponent and 4 for the

1. 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.

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