Question

convert (9AD)16=(?)2​

Answer 1

Answer:

9AD16 in binary

100110101101^2

Explanation:

In numeral system, we know hexadecimal is base-16 and binary is base-2.

To convert hexadecimal 9AD to binary, you follow these steps:

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

1. 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.
2. Add all the products we got from step 1 to get the decimal equivalent of given hexadecimal value.
3. Then, divide decimal value we got from step-2 by 2 keeping notice of the quotient and the remainder.
4. Continue dividing the quotient by 2 until you get a quotient of zero.
5. Then just write out the remainders in the reverse order to get binary equivalent of decimal number.

First, convert 9AD16 into decimal, by using above steps:

= 9AD16

= 9 × 162A × 161D × 160

= 247710

Now, we have to convert 247710 to binary

2477 / 2 = 1238 with remainder 1

1238 / 2 = 619 with remainder 0

619 / 2 = 309 with remainder 1

309 / 2 = 154 with remainder 1

154 / 2 = 77 with remainder 0

77 / 2 = 38 with remainder 1

38 / 2 = 19 with remainder 0

19 / 2 = 9 with remainder 1

9 / 2 = 4 with remainder 1

4 / 2 = 2 with remainder 0

2 / 2 = 1 with remainder 0

1 / 2 = 0 with remainder 1

Then just write down the remainders in the reverse order to get the answer, The hexadecimal number 9AD converted to binary is therefore equal to : 100110101101^2

HOPE THIS HELPS BRO! =D