Question

What is binary representation of (DAD)16​

Answer 1

Explanation:

In numeral system, we know hexadecimal is base-16 and binary is base-2. To convert hexadecimal DAD to binary, you follow these steps:

To do this, first convert hexadecimal into decimal, then the resulting decimal into binary

Start from one's place in hexadecimal : multiply ones place with 16^0, tens place with 16^1, hundreds place with 16^2 and so on from right to left.

Add all the products we got from step 1 to get the decimal equivalent of given hexadecimal value.

Then, divide decimal value we got from step-2 by 2 keeping notice of the quotient and the remainder.

Continue dividing the quotient by 2 until you get a quotient of zero.

Then just write out the remainders in the reverse order to get binary equivalent of decimal number.

First, convert DAD16 into decimal, by using above steps:

= DAD16

= D × 162A × 161D × 160

= 350110

Now, we have to convert 350110 to binary

3501 / 2 = 1750 with remainder 1

1750 / 2 = 875 with remainder 0

875 / 2 = 437 with remainder 1

437 / 2 = 218 with remainder 1

218 / 2 = 109 with remainder 0

109 / 2 = 54 with remainder 1

54 / 2 = 27 with remainder 0

27 / 2 = 13 with remainder 1

13 / 2 = 6 with remainder 1

6 / 2 = 3 with remainder 0

3 / 2 = 1 with remainder 1

1 / 2 = 0 with remainder 1

Then just write down the remainders in the reverse order to get the answer, The hexadecimal number DAD converted to binary is therefore equal to :