Hexadecimals

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cis106_u2_assignment2.docx

Unit 2 Assignment 2: Numbering Systems

Recall that the Binary numbering system has TWO symbols (0-1); decimal has TEN (0-9), and hexadecimal has SIXTEEN (0-9, A-F). Binary numbers should always be written out in sets of four digits each time. Each binary digit is called a “bit”. Eight bits make up a byte and four bits are a nibble. Each hex digit represents one nibble.

For this assignment, complete the three sections below in a separate document and submit via the instructions at the bottom of the page. Be sure to name your file: firstname_lastname_CIS106_U2_Assignment1.docx

HINT: Use the scientific calculator on your computer (Calc.exe) to check your work; click on View – Scientific in XP, or View – Programmer in Windows 7.

Part A: Counting in Binary, Decimal, and Hexadecimal. Fill in the symbols and digits below.

Binary

Decimal

Hexadecimal

Binary

Decimal

Hexadecimal

0000

0

0

8

1

9

2

1010

10

A

3

11

4

12

5

13

6

14

0111

7

7

15

Part B: Binary to Decimal and Hexadecimal. Complete the chart. Add h to each hex number. Fill in the power of 2’s as well. *2^ means “2 to the power of”; for example, 2^5 = 2 * 2 * 2 * 2 * 2 = 32

No.

Binary

(1 Byte format)

128

64

32

16

8

4

2

1

Decimal

Hexa-decimal

27

26

25

24

23

22

21

20

1

11001100

1

1

0

0

1

1

0

0

128+64+8+4=204

CCh

2

10101010

3

11100011

4

10110011

5

00110101

6

00011101

7

01000110

8

10110001

9

11000001

10

11110000

Part C: Decimal to Binary: Complete the following table to practice converting a number from decimal notation to binary format. Mark each hexadecimal number with h.

No.

Decimal

128

64

32

16

8

4

2

1

Add them up to check

Hexadecimal

11

49

0

0

1

1

0

0

0

1

32+16+1=49; 0011=3;0001=1

31h

12

15

13

77

14

140

15

252

16

222

17

192

18

169

19

127

20

your age