CONVERT DECIMAL TO BINARY NUMBER
SYSTEM
(a) (271)10 = (?)2
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Answer.) The steps are -
Divide the decimal number by 2
Note the remainder at the right of the dividend .
Divide the quotient again by two
Repeat step till quotient is zero.
Write the remainder in reverse order.
271 /2 = 135 ( as it is not completely divisible) 1
135/2 = 67 (as it is not completely divisible ) 1
67/2 = 33 ( as it is not completely divisible) 1
33/2 = 16 ( as it is not completely divisible) 1
16/2 = 8 ( completely divisible ) 0
8/4=4 ( completely divisible) 0
4/2=2 ( completely divisible ) 0
2/2=1 ( completely divisible) 0
2/1=0 ( not completely divisible) 1
So, 271 (10) = 100001111 (2)
Divide the decimal number by 2
Note the remainder at the right of the dividend .
Divide the quotient again by two
Repeat step till quotient is zero.
Write the remainder in reverse order.
271 /2 = 135 ( as it is not completely divisible) 1
135/2 = 67 (as it is not completely divisible ) 1
67/2 = 33 ( as it is not completely divisible) 1
33/2 = 16 ( as it is not completely divisible) 1
16/2 = 8 ( completely divisible ) 0
8/4=4 ( completely divisible) 0
4/2=2 ( completely divisible ) 0
2/2=1 ( completely divisible) 0
2/1=0 ( not completely divisible) 1
So, 271 (10) = 100001111 (2)
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