Assignment: 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.
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Binary
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Decimal
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Hexadecimal
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Binary
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Decimal
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Hexadecimal
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0000
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0
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0
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8
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1
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9
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2
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1010
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10
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A
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3
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11
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4
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12
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5
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13
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6
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14
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0111
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7
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7
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15
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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
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No.
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Binary
(1 Byte format)
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128
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64
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32
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16
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8
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4
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2
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1
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Decimal
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Hexa-decimal
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27
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26
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25
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24
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23
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22
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21
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20
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1
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11001100
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1
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1
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0
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0
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1
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1
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0
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0
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128+64+8+4=204
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CCh
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2
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10101010
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3
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11100011
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4
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10110011
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5
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00110101
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6
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00011101
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7
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01000110
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8
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10110001
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9
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11000001
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10
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11110000
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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.
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No.
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Decimal
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128
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64
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32
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16
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8
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4
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2
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1
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Add them up to check
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Hexadecimal
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11
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49
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0
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0
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1
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1
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0
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0
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0
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1
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32+16+1=49; 0011=3;0001=1
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31h
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12
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15
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13
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77
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14
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140
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15
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252
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16
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222
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17
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192
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18
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169
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19
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127
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20
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your age
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