MC48 Homework 3 (Fall 1998)

Due: September 29, 1998

  1. Consider taking the mirror image of a binary numeral, in the sense of reversing the left-to-right order of the bits. For example, the mirror image of 01100 is 00110. What binary numeral(s) have the property that taking the mirror image produces the same result as negating the numeral (using two's-complement)? Justify your answer: not only why the numeral(s) you list have this property, but also why you are sure than no others do.
  2. Do exercise 4.21 on pages 325-326.

Instructor: Max Hailperin