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3. IEEE 754 binary representation of floating point numbers is widely used in todays computer systems. Consider the following decimal numbers and represent them in

3. IEEE 754 binary representation of floating point numbers is widely used in todays computer systems. Consider the following decimal numbers and represent them in their corresponding single precision IEEE 754 format. Show all the steps of your calculation. Write down the single precision numbers in Hex format and use MARS to verify that your calculation is correct.

(a) (6.725)10

(b) (-0.3125)10

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