Fundamentals Of Data Representation

Question 1

How many bits in a byte?

Answer 1

8

Question 2

How many bytes in a Kilobyte)?

Answer 2

1,000

Question 3

How many Kilobytes in a Megabyte ?

Answer 3

1,000

Question 4

How many Megabytes in a Gigabyte?

Answer 4

1,000

Question 5

How many Gigabytes in a Terabyte?

Answer 5

1,000

Question 6

Add together these Binary Numbers:
1 1 0 1
1 1 0 1

Answer 6

11010

Question 7

Add together these binary numbers:
1101
1101
0110

Answer 7

100000

Question 8

Convert 1011011010110111011011 into Hex.
Use this table to help:
Binary      	Hex
0	                  0
1	                  1
10	                  2
11	                  3
100	                  4
101	                  5
110	                  6
111	                  7
1000	          8
1001  	          9
1010	                  A
1011	                  B
1100           	  C
1101	                  D
1110	                  E
1111	                  F
10000	         10
100000	        20
1000000	40
10000000	80
100000000	100

Answer 8

2DADDB

Question 9

What are the reasons you would compress data?

Answer 9

• To reduce the amount of storage needed on a computer to save files.
• To allow large files to be transmitted as an email attachment as many email services limit the size of a file.
• Because it reduces the transmission time.

Question 10

What are the different methods of compressing data?

Answer 10

RLE - counting the numbers of letters in a sequence as they are seen.
aaaabbbbcbbbc
4a4b1c3b1c

Huffman Encoding - Reducing each letter that represents 7 bits to take up less space.

Question 11

How is data compressed in RLE?

Answer 11

It counts the numbers of letters in a sequence as they are seen and writes them down.
aaaabbbbcbbbc
4a4b1c3b1c

Question 12

How is data compressed using huffman coding?

Answer 12

It compresses each 7 bit letter to be smaller and take up less space. The more frequent the letter in the word/phrase the less bits it will take up.

Question 13

Shift 100100 one place to the right

Answer 13

010010

Question 14

Why would binary shift be used?

Answer 14

To divide and multiply binary. Left shift is multiply, Right shift is divide.
You multiply and divide using the placeholders.