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