Can somebody give me a clear calculation and explanation why 2 is 10 in binary digits?

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Athiq

  • Apr 18th, 2006
 

It is very simple,do you no about hexadecimal values.ok cool i will give you a list of hexadecimal values..

Binary------>Hexadecimal

0000-------->0

0001-------->1

0010-------->2

0011-------->3

0100-------->4

0101-------->5

0110-------->6

0111-------->7

1000-------->8

1001-------->9

1010-------->A

1011-------->B

1100-------->C

1101-------->D

1110-------->E

1111-------->F

The above table explains you why 2 called 10 in binary.

I will give you a small example.

Write 2 and 5 in hexadecimal form

In hexa 11 can be written as 1011 this is in binary and in hexa A.

In hexa 15 can be written as 1111 this is in binary and in hexa F.

Now you compare the above table.....

Hope you understand this...If their is any doubts feel free to ask

 

 

 

 

sunilverma

  • Apr 18th, 2006
 

Decimal is a numbering system with base 10 i.e. it has ten digits, in any numbering system, total number of possible digitd always equals the base of that numbering system, thus 10 possible digits in decimal 0,1,2,3,4,5,6,7,8,9.

To start counting you start from 0 and increment the ones position till you reach the last possible digit, after that you increment the tens position and reset the ones position to zero and count again...

On similar pattern: total number of digits in binary (base 2) will be 2 i.e. 0,1 so when you start counting...

0 = 0

1 = 1 <- max binary digit

2 = 10 <- increase the tens (ideally you should call it twos) position and reset ones position to 0.

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Vignesh

  • Jun 25th, 2006
 

hi... im a final year B.Tech Student..

'2' is of base 10 - it is a decimal number.

binary number has a base 2 - ie all the binary no.s have only 1s n 0s

a conversion mechanism can be used.. since the base10 no has to be converted into a base2,

divide '2' by 2.. the quotient is 1 and remainder is 0.. 1 cannot be further divided.. so write the answer in reverse order which becomes 10.

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navaneethan

  • Jul 26th, 2006
 

In decimal system upto ten numbers are possible(0-9).In binary only two(0-1). So the first number is 0 in both, next 1,1 next 10,1. Because the possiblity of the next greatest number to 1 in binary is 10.

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Dinesh kr Singh

  • Apr 18th, 2007
 

Hi
It has a very simple principle to convert decimal into binary
1) write decimal nos. like 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 1 6 17.........99 100...
2) cut those are not 0 OR 1
3) rest are binaries


For Example:-   0 1 2 3 4 5 6 7 8 9 10 11 12 13 ........ 99 100 101 102.....  109 110 111
by cutting non 0 & 1s rest we left are     0 1 10 11 100 101 110 111  only in the given

now compare these with decimals
0 ---->  0
1----->  1
2----->  10
3 ---->  11
4----->  100
5----->  101
6----->   110
7------>  111

& so on
hope now u must hav got ur answer
for further querries reply it.

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sonali

  • Apr 27th, 2007
 

to find binary of any number:
 
divide the number by 2 till u get remainder 1.& note down the remainder for each. this remainder is your corresponding binary. but while writing final answer u have to write from last remainder to first.

here is example:
14 = 1110

14/2=7      remainder = 0
7/2= 3       remainder=1
3/2=1        remainder=1
1                remainder=1

as i said while writing write from bottom to top that is 1110

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Laxman Paudel

  • Apr 30th, 2007
 


Remember,  Binary means two i.e 0 & 1. and Decimal means 10 i.e 0 to 9.  

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tituxjec

  • Mar 6th, 2009
 

Do not take it as '10' rather take it as '1' and then '0'. Refer to binary notation and you will be more clear

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sujit

  • Jan 27th, 2012
 

Binary counting is like "16 8 4 2 1" so if no. is 2 then it will 00010 but you can write is "10" if the no. will be 7 then binary will be 111 and if it will be 18 then 10010, so whatever no. you are taking is "1" and rest will b "0"

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