mbers in normalized form? What is the advantage of using a bias as opposed to adding a sign bit to the exponent? Can you think of any situation, from the perspective of programming, where you would use floating-point da
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Why do we usually store floating-point numbers in normalized form? What is the advantage of using a bias as opposed to adding a sign bit to the exponent? Can you think of any situation, from the perspective of
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- The following is an addition problem displayed in standard base 10 notation. Each letter represents a different digit (each digit must be an integer in the range of 1 to 9). What digit does each letter represent? What information did you use to get started with narrowing down possible values for the letters? PXQ + XYX ----- QXQYWhat is the difference between floating-point division and integer division?The following is a quantity represented in base-8 (octal). What is its representation in base-10 (decimal)? (The right-most digit is still the one's place, the next is the 8s place, ...) 772
- How is the number 2 represented in the floating point data type format?The Famous Gauss You must know about Gauss, the famous mathematician. Back in late 1700’s, he was at elementary school. Gauss was asked to find the sum of the numbers from 1 to 100. The question was assigned as “busy work” by the teacher. He amazed his teacher with how quickly he found the sum of the integers from 1 to 100 to be 5050. Gauss recognized he had fifty pairs of numbers when he added the first and last number in the series, the second and second-last number in the series, and so on. For example:(1 + 100), (2 + 99), (3 + 98), ..., (50 + 51). Each pair has a sum of 101 and there are 50 pairs. History repeats itself. Jojo’s teacher assign a “busy work” to the students. The teacher believes that there will be no shortcut to finish this task in a minute. The teacher gives N integers A1, A2, ..., AN to the students. The teacher also gives Q questions. Each question contains two integers L and R asking the sum of all Ai where L <= Ai <= R. As a good friend of Jojo, help Jojo…What exactly are the three components that go into the construction of a floating-point number, and how do they interact with one another?