in Digital Logic retagged by
917 views
2 votes
2 votes

The Decimal equivalent of the Hexadecimal number $(A09D)_{16}$ is

  1. $31845$
  2. $41117$
  3. $41052$
  4. $32546$
in Digital Logic retagged by
by
917 views

2 Comments

Option B
0
0
Here, instead of actually evaluating the value, we observe that the unit digit in each option is different, therefore we can very quickly eliminate non-possible answers by finding the unit digit of the expression ( A09D) --- finding the unit digit is very easy

Since A stands for 10, so we can ignore it, so focus on 9 and D, i.e unit digit of 3 + 9x16 is 3+ 4 i.e 7,,so the right answer has to have 7 as unit digit, we observe that it is option C
1
1

1 Answer

4 votes
4 votes
Best answer
$(A09D)_{16}= 10*16^3+0*16^2+9*16^1+13*16^0 = 41117$

So B is correct.
selected by
Answer: