Examples of decimal to binary conversion

decimal to binary conversion examples

EXAMPLE 1:

(  78  )₁₀  =  (   ?  )₂

Solution:

answer is (  1 0 0 1 1 1 0  )₂

EXAMPLE 2:

(  0.6875 )₁₀ = (  ?  )₂

Solution:

0.6875 * 2 =  1.375      integer 1

0.375 * 2  =  0.75          integer 0

0.75 * 2    =   1.5            integer 1

0.5 *  2     =      1            integer 1

So,answer is ( 0. 1 0 1 1 )₂

EXAMPLE 3:

(  25.625  )₁₀ =(    ?   )₂

Solution:
integer part,

fractional part,
0.625 * 2 = 1.25      integer 1
0.25 * 2 = 0.5          integer 0
0.5  * 2 =   1            integer 1

So,  ( 0. 1 0 1 )₂

Now, answer will be  ( 1 1 0 0 1 . 1 0 1 ) ₂

EXAMPLE 4:

(  38.375  )₁₀  =  (  ?  )

Solution :
integer part ,fractional part,
0.375 * 2  =  0.75   integer 0
0.75 * 2    =  1.5     integer 1
0.5  * 2     =  1        integer 1

answer is  (  1 0 0 1 1 0 . 1  1 0 )₂

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