《计算机科学导论》课后练习(翻译)(19)

53.如果数字都用8位二进制补码表示，下列哪些个运算会溢出？

A. 11000010+00111111 B. 00000010+00111111

C. 11000010+11111111 D.000000010+11111111

解：Addition of two integers does not create overflow if the result is in the range ( 128 to +127).

A. Addition does not create overflow because ( 62) + (+63) = 1 (in the range).

B. Addition does not create overflow because (+2) + (+63) = 65 (in the range).

C. Addition does not create overflow because ( 62) + ( 1) = 63 (in the range).

D. Addition does not create overflow because (+2) + ( 1) = 1 (in the range).

54如果数字和结果都用8位二进制补码表示，不通过实际的计算，能说出下列哪个运算会溢出吗？

A. 32+105 B. 32 105 C. 32+105 D. 32 105