08.71.35 Uppbygging tölva

Homework 2

  1. Give at least three reasons for not getting a doubling in the speed of a processor if we double the number of pipeline steps (e.g. from 5 steps to 10).

  2. Problem 2.3 on page 56 in the textbook.

  3. Use 5 bits for the decimal numbers 15, -16 and 0 and if possible show them
    1. as signed magnitude
    2. as one's complement
    3. as two's complement
    4. on Excess 2n-1 - 1 form

  4. Problem 2.6 on page 57 in the textbook.

  5. An interesting way of representing numbers is the so called balanced ternary. In it we use -1, 0 and 1 in a ternary system instead of 0, 1 and 2. Thus the number 8 is represented as (1 0 -1), since 8 is 1*32 + 0*31 + (-1)*30.
    1. How are the numbers 3, 11 og -234 represented in this system?
    2. How is the (additive) inverse of a number found in this system?
    3. How can we easily see if a number is this system is negative?

Hand these problems in on monday september 10th.

hh (hja) hi.is, 5. september, 2001.