Intro to Computer Science CS1510 Dr. Sarah Diesburg

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Presentation transcript:

Intro to Computer Science CS1510 Dr. Sarah Diesburg Problem Solving Intro to Computer Science CS1510 Dr. Sarah Diesburg

Numeric representation We usually work with decimal numbers with digits from 0 to 9 and powers of 10 7313 = (7 * 1000 + 3 * 100 + 1 * 10 + 3 * 1) Or (7 * 103 + 3 * 102 + 1 * 101 + 3 * 100) The binary number system uses digits 0 and 1 and powers of 2 0101 = (0 * 8 + 1 * 4 + 0 * 2 + 1 * 1) Or (0 * 23 + 1 * 22 + 0 * 21 + 1 *20) = 5 See http://computer.howstuffworks.com/bytes1.htm for more information on number systems and binary numbers.

Thinking about this… A nibble is half a byte 0110 is one example How many numbers can a nibble store? Which numbers can a nibble store? Largest nibble/smallest nibble?

Your turn #1 What unsigned decimal numbers are represented by the following binary numbers? Example: 00000101 = 5 01000100 00001101 10110011

Your turn #2 How would you write the following numbers in binary? Example: 14 = 8 + 4 + 2 -> 00001110 3 121 143

Encoding Binary numbers can represent more things than just integers Another example is ASCII American Standard Code for Information Interchange Character encoding scheme based on the English alphabet http://en.wikipedia.org/wiki/ASCII

Programming in Python We will be using Python3 Install on your own computers or use one of the ITTC or Wright Hall labs Can install from http://www.python.org Walkthrough Be sure to use version 3 (not version 2)!

Problem Solving How do humans solve problems? Once we know that, how to we translate that to how a computer would solve a problem? Get in groups of two or three

Problem #1 Suppose that on a recent trip, you left Cedar Falls with a full tank of gas and your odometer read 64783 miles. When you returned, your odometer read 64969 miles. You refilled your gas tank with 8 gallons of gas. What was your mileage per gallons (or MPG)?

Problem #1 What is the answer? How did you arrive at this specific answer? What is the general purpose algorithm to solve this class of problem?

On Thursday and Friday We are going to look at How the computer does mathematics How do we assign names to things How do we put numbers in the computer and take them back out

For Lab Tomorrow Start reading chapter 1