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Somewhere i saw word HEX on calculator . what does it means ?

Guest Feb 17, 2015

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 #3
avatar+78577 
+5

I assume that you would have finished earlier, Melody,  had you not been.... "HEXED"......!!!!

 

CPhill  Feb 18, 2015
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4+0 Answers

 #1
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+5

HEX means hexadecimal system which includes 0-9, A-F.

Conversion is done in the similar manner we convert to binary

Guest Feb 17, 2015
 #2
avatar+90988 
+5

HEX stands for Hexidecimal.  Which is base 16

Hex means 6 and decimal means 10 so Hexidecimal refers to 16

Normally our numbers are in base 10

We need 10 different digits to express our numbers.  that is  0,1,2,3,4,5,6,7,8, and 9

 

so  the base 10 number  $$36742 = 3*10^4\;\;+\;\;6*10^3\;\;+\;\;7*10^2\;\;+\;\;4*10^1\;\;+\;\;2*10^0$$

 

Computers actually work in binary. That is base 2.  Each individual signal is either on or off. 0 or 1

So the number 

 

$$\\10011010_2 = 1*2^7\;\;+\;\;1*2^4\;\;+\;\;1*2^3\;\;+\;\;1*2^1 \\\\
= 128+16+8+2=154_{10}\;\;$That means 154 base 10$$$

 

Now to write everynumber out in base 2 would take for ever.  So computer geeks change it to base 16 which is hexidecimal.

For base 16, 16 digits are needed, they are 0,1,2,3,4,5,6,7,8,9,A,B,C,D,E,F

Now I will try and show you why this is useful.   You need to recognise that  $$16=2^4$$ 

Lets look at our base 2 number

 

$$\\10011010_2$$     I am going to seperate this into groups of 4 like this

 

$$\\\underbrace{1001}\underbrace{1010}\; base \;2\\\\
now\: 1001_2 = 8+1=9\; $ base 10, and that is also 9 in base 16 \\
and\; 1010_2 = 8+2=10\; $ base 10, and that is A in base 16 \\
so\\
\mbox {10011010 is 9A as a hexidecimal number}$$

 

Lets just check this.  We already discovered that  10011010 base two = 154 base 10

Lets see what 9A base 16 is in base 10

 

$$\\9A\; (base 16)= 9*16^1+10 = 144+10 = 154\;\;(base 10)\\\\
\mbox{so it has been established that}\\\\
154_{10}=10011010_2=9A_{16}$$

 

I DO HOPE SOMEONE GETS SOMETHING OUT OF THIS POST BECAUSE IT HAS TAKEN AGES TO WRITE IT. 

 

(I have had lots of interuptions)

Melody  Feb 18, 2015
 #3
avatar+78577 
+5
Best Answer

I assume that you would have finished earlier, Melody,  had you not been.... "HEXED"......!!!!

 

CPhill  Feb 18, 2015
 #4
avatar+90988 
0

TOO RIGHT CHRIS !!     LOL

Melody  Feb 18, 2015

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