Difference between revisions of "CSC231 Review of hexadecimal number system"

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(Created page with "--~~~~ ---- =Some exercises to help you review the hexadecimal system= * What are the first 32 hex numbers, starting with 00? * Convert these hexadecimal numbers to binary, an...")
 
 
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--[[User:Thiebaut|D. Thiebaut]] 10:23, 14 September 2012 (EDT)
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--[[User:Thiebaut|D. Thiebaut]] ([[User talk:Thiebaut|talk]]) 09:19, 13 February 2017 (EST)
 
----
 
----
 
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=Conversion Table=
 +
<br />
 +
<center>
 +
{| class="wikitable" style="text-align: center;"
 +
! binary
 +
! hexadecimal
 +
! decimal
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|-
 +
|
 +
0000
 +
|
 +
0
 +
|
 +
0
 +
|-
 +
|
 +
0001
 +
|
 +
1
 +
|
 +
1
 +
|-
 +
|
 +
0010
 +
|
 +
2
 +
|
 +
2
 +
|-
 +
|
 +
0011
 +
|
 +
3
 +
|
 +
3
 +
|-
 +
|
 +
0100
 +
|
 +
4
 +
|
 +
4
 +
|-
 +
|
 +
0101
 +
|
 +
5
 +
|
 +
5
 +
|-
 +
|
 +
0110
 +
|
 +
6
 +
|
 +
6
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|-
 +
|
 +
0111
 +
|
 +
7
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|
 +
7
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|-
 +
|
 +
1000
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|
 +
8
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|
 +
8
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|-
 +
|
 +
1001
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|
 +
9
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|
 +
9
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|-
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|
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1010
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|
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a
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|
 +
10
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|-
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|
 +
1011
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|
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b
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|
 +
11
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|-
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|
 +
1100
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|
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c
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|
 +
12
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|-
 +
|
 +
1101
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|
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d
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|
 +
13
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|-
 +
|
 +
1110
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|
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e
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|
 +
14
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|-
 +
|
 +
1111
 +
|
 +
f
 +
|
 +
15
 +
|}
 +
<br />
 +
</center>
 
=Some exercises to help you review the hexadecimal system=
 
=Some exercises to help you review the hexadecimal system=
  
 
* What are the first 32 hex numbers, starting with 00?
 
* What are the first 32 hex numbers, starting with 00?
 +
<br />
 +
<br />
 +
<br />
  
 
* Convert these hexadecimal numbers to binary, and to decimal.
 
* Convert these hexadecimal numbers to binary, and to decimal.
Line 30: Line 154:
  
  
     1111
+
     aaAA
 
   
 
   
 
     9999
 
     9999
Line 46: Line 170:
 
* Perform the following additions in hex:
 
* Perform the following additions in hex:
 
   
 
   
   1111 + AAAA
+
   1000 + AAAA
 
   
 
   
 
   1234 + F
 
   1234 + F

Latest revision as of 09:19, 13 February 2017

--D. Thiebaut (talk) 09:19, 13 February 2017 (EST)


Conversion Table


binary hexadecimal decimal

0000

0

0

0001

1

1

0010

2

2

0011

3

3

0100

4

4

0101

5

5

0110

6

6

0111

7

7

1000

8

8

1001

9

9

1010

a

10

1011

b

11

1100

c

12

1101

d

13

1110

e

14

1111

f

15


Some exercises to help you review the hexadecimal system

  • What are the first 32 hex numbers, starting with 00?




  • Convert these hexadecimal numbers to binary, and to decimal.
  1111

  1234

  AAAA

  F001

  FFFF

  • Convert these decimal numbers to binary, and hexadecimal
  65

  127

  1024

     
  • What comes after these hexadecimal numbers, logically?


   aaAA

   9999

   19F

   1ABF

   FFEF

   F00F

   ABCDEF
  • Perform the following additions in hex:
  1000 + AAAA

  1234 + F

  1234 + ABCD

  FFFF + FFFF