计算机概论教学（英文版）华南理工-Ch-03.pdfVIP

CHAPTER 3 Number Representation Review Questions 1. Repetitive division by 2 is used, entering the remainder (0 or 1) to the left of any previous remainders. 2. Multiply each binary digit by its weight and combine the results. 3. 2 4. 10 5. Sign-and-magnitude, ones complement, and twos complement. 6. The “maximum unsigned integer” is the largest number that can be stored in an integer location. For a given bit allocation, n, the largest storable unsigned integer would be 2n - 1. 7. Bit allocation is the number of bits used to represent an integer. 8. The decimal 256 would require at least 9 bits for storage. 9. Unsigned integers are used for counting, addressing, or anywhere negative num- bers are not used. 10. The largest positive number storable in a bit allocation of 8 bits using sign-and- magnitude representation is 127; therefore, overflow would occur. 11. The representation of positive numbers in sign-and-magnitude, ones complement, and twos complement are all identical. 12. Negative numbers in all three representations will all start with 1 (the left-most bit will be 1). The rest of the numbers will vary depending on the representation. 13. There are 2 values for zero in both sign-and-magnitude and and ones complement and representations. Twos comple- ment representation has only 1 value for zero . 14. For a bit allocatio