Question

Hi Users !!!

(i) Convert 1101 0111 0101 11_{2} to Hexa Decimal

(ii) Convert A13B_{16} to Decimal

Answer is needed with explanation !!! ✌✌

Data Representation || Class 11 CBSE || Computer Science

Answer 1

Heya !!

Here is your answer.

(i). 35D7

(ii). 41275

For calculation, refer the attachment.

Hope it helps.

Answer 2

(1) 

Given decimal number is 1101 0111 0101 11.

Now,

(1)

= > 0 1 1 1 

= 1 * 2^0 + 1 * 2^1 + 1 * 2^2 + 1 * 2^3

= 0 + 2 + 4 + 1

= 7


(2)

= > 1 1 0 1

= 1 * 2^3 + 1 * 2^2 + 0 * 2^1 + 1 * 2^0

= 8 + 4 + 0 + 1

= 13

= D


(3)

= > 0 1 0 1

= 0 * 2^3 + 1 * 2^2 + 0 * 2^1 + 1 * 2^0

= 4 + 1

= 5


(4)

= > 0 0 1 1

= 0 * 2^3 + 0 * 2^2 + 1 * 2^1 + 1 * 2^1

= 0 + 0 + 2 + 1

= 3.


Therefore hexadecimal equivalent = (35D7)


(2) 


Given hexadecimal number = A13B

Note: Multiply Every digit with 16 power of digit location


= > A 1 3 B

= A * 16^3 + 1 * 16^2 + 3 * 16^1 + B * 16^0

= 10 * 4096 + 256 + 48 + 11

= 40960 + 256 + 48 + 11

= 41275.



Therefore the Decimal Equivalent = 41275.



Hope this helps!