Which of the following is true of how computers represent numbers?

English
1

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.

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Which of the following is true of how computers represent numbers?

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

Option B is true when working with fixed-width binary representations. In computer systems, when you use a fixed number of bits to represent numbers, there is a limit to the range of values that can be represented. If you attempt to represent a number that exceeds this range, it will result in an overflow error. Overflow errors occur when the computed result of an operation is too large (or too small, in the case of underflow) to be represented using the fixed number of bits available for storage. This limitation is a fundamental aspect of binary representation in computing.