Introduction To Computer And Information Science (Page 3 of 4) in pdf

Instructions: For the “Contents” option (at the top of the screen), choose “Text.” Type

your name in the “Text content” box and click the “Generate” button. Then click the

“Download” link.

You will need to “cut and paste” the QR code from the generator to your word processing

document. Here’s how to do this:

 In Windows, right click the mouse on the QR code. Choose the “Copy” option to

copy the QR code to the Windows clipboard. Finally, use the Ctrl and V keys to

paste the contents of the clipboard into your word processing document.

 In Mac OS X, use the control button with a mouse click to copy the image. Then

use the Command key with the V key to paste the image into your word

processing document.

3. Converting binary number to decimal numbers

In part 1 of this project, you converted text into binary code. For this part of the project,

you will convert numbers from the binary system to the decimal system. You do this by

using the place values of the numbers. In the decimal system, each place has a value of

10 times the previous place. Thus, we have the 1’s place, the 10’s place, the 100’s place,

the 1000’s place, and so on.

With the binary numbering system, the place values are based on 2 (rather than 10). This

means that we have the 1’s place, followed by the 2’s place, 4’s place, 8’s place, 16’s

place, and so forth. The place values continue to grow (to the left) as far as is needed to

represent the number that is being encoded.

Since binary numbers consist only of 0 and 1, you end up using a lot of places to write a

numeric value. The following table shows a number displayed in binary form. The top

line (the blue background) shows the place values (1, 2, 4, 8, 16, etc.), and the lower line

shows the binary number. The resulting value (in decimal) is the sum of the places where

there is a 1 shown on the lower line. For the following example, the sum is 64 + 32 + 8 +

2 + 1 = 107.

128

Use this process to convert the following binary numbers into decimal numbers. Show or

describe the exact method that you used for each conversion.

 00000100

 00000101

 00001100

 00010101

 00001111

 00010000

Introduction To Computer And Information Science Page 3