Which of the following is true of how computers represent numbers? A. Using a fixed but large number of bits can eliminate the possibility of round off error when representing numbers in binary B. With a fixed number of bits some numbers are too large to represent in a computer which will lead to overflow errors. C. Using a fixed but large number of bits, for example 128, eliminates the possibility of overflow errors. D. With a large but fixed number of bits it is possible to eliminate either round-off errors or overflow errors, but not both.

Answers

Answer 1

Answer:

C. Using a fixed but large number of bits, for example 128, eliminates the possibility of overflow errors.

Explanation:

Computer as an intelligent device can only be able to represent inputs through conversion to readable machine language before it becomes output. In order to do this, there is a need to convert those inputs into bits and bytes. The converted input is then brought out as a readable format on the computer screen.

Answer 2

Using the concept of numerical representation in a computer, the correct statement is:

B. With a fixed number of bits some numbers are too large to represent in a computer which will lead to overflow errors.

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In computers, numbers are represented in an architecture with a finite-precision of n bits.In an architecture of n bits, the largest possible number that can be represented is [tex]2^{n}-1[/tex]. Numbers greater than this generate overflow.The n bits can be divided as integer and decimal parts of the number.No matter the value of n, there is always going to be values that are too large to be represented, that is, there will always be the possibility of overflow and round-off errors, thus, option B is correct.

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