What is the range of round-off error for a foxed point representation?
A. [-0.5(2-b+2-bm), 0.5(2-b+2-bm)].
B. [0, (2-b+2-bm)].
C. [0, (2-b-2-bm)].
D. [-0.5(2-b-2-bm), 0.5(2-b-2-bm-bm)].
Answer:A
What is the range of round-off error for a foxed point representation?
A. [-0.5(2-b+2-bm), 0.5(2-b+2-bm)]. B. [0, (2-b+2-bm)]. C. [0, (2-b-2-bm)]. D. [-0.5(2-b-2-bm), 0.5(2-b-2-bm-bm)].
Explanation: The round-off error is independent of the type of fixed point representation. The maximum error that can be introduced through rounding is 0.5(2-b-2-bm) and this can be either positive or negative, depending on the value of x. Therefore, the round-off error is symmetric about zero and falls in the range