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4. Consider the numbers a=123.45 and b=0.06543 on a 4-digit decimal machine that rounds. Do BY HAND: a. Write down their normalized floating point representations

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4. Consider the numbers a=123.45 and b=0.06543 on a 4-digit decimal machine that rounds. Do BY HAND: a. Write down their normalized floating point representations fl(a),fl(b) on this machine. b. Find the exact d=ab (at full precision) and D=fl(a)fl(b). Do fl(d) and fl(D) match? c. What value will the machine produce for the difference d ? d. Find the error dfl(D). To how many digits is fl (D) accurate

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