Lab 9 – Binary Conversions and Arithmetic
Dean Zeller Due: Wednesday, April 12th by 9:00 PM
CS10051 Lab: 10 points
Spring, 2006 Assignment: 10 points
Objective The student will convert binary integers to decimal, decimal to binary, and perform
binary arithmetic (addition, subtraction, and multiplication).
Materials: Binary Calculator
You will need a calculator with binary number functionality. The Microsoft Windows calculator is
sufficient for this assignment. The purpose of the calculator is to check your work on the assignments.
It is still important for you to know the method behind the calculation, as calculators will not be allowed
on the exam.
Background: Binary Numbers
The binary number system is used by computers to do every calculation and decision within a
computer’s Central Processing Unit (CPU), and is also the system used for long and short term storage.
It is helpful as computer scientists to know this number system very well. In the next few weeks, you
will learn how circuits are designed to make calculations in this system.
Lab Notes (5 points)
Given below are five questions dealing with binary conversions and arithmetic. Solve the problems
using the diagram method shown in class. Word processing is not necessary, but you are being graded
on neatness.
Lab Report (5 points)
For each question below, choose one problem to demonstrate using a word processor and/or graphics
package. Diagram your answer as shown in class.
Assignment 9 – Floating Point Binary
Objective The student will perform binary division, convert decimal fractions to floating point
binary, convert floating point binary to decimal, and measure the error of 8-bit precision
binary numbers.
Background: Floating Point Binary
This system of numbers is typically left out of computer architecture textbooks. Conceptually, floating
point binary is no more difficult than decimal, just with a different “behavior.”
Assignment Notes (5 points)
Given below are five questions dealing with floating point binary. Solve the problems using the
diagram method shown in class. Word processing is not necessary, but you are being graded on
neatness.
Assignment Report (5 points)
For each question below, choose one problem to demonstrate using a word processor. Diagram your
answer as shown in class.
Grading:
You will be graded on the following criteria:
Accuracy Correctly diagramming the solutions.
Organization Neatness and readability of the answers and diagrams
Extra Credit:
Extra credit will be given for any of the following:
Create and solve your own problems.
Use a word processor on all problems.
