Homework 2, More Numbers

Short Description:

Goals

• Shown that you can represent signed integers

Formal Description

1. [2 points each]
   1. Represent 23 and -23 in 5 bit sign magnitude, state any assumptions
   2. Represent 23 and -23 in 5 bit two's complement
2. [4 points] Demonstrate the computation -8 - 3 in two's complement. Show all work.
3. [4 points] Describe how overflow can be detected in two's complement math.
4. [4 points] Describe the advantages of two's complement over sign magnitude when representing signed integers in a digital computer.
5. [2 points] What is the range of numbers that can be represented in n bit two's complement?
6. [2 points] What is the range of numbers that can be represented in n bit binary (positive numbers only). Relate this answer to the answer to the previous question.

Required Files

Submission