Question

51.
If (11011), = 10, then
number in the blank space is
(1) 30
(2) 33
(3) 22
(4) 27​

Answer 1

Answer:

Option 4 - The required number blank spaces are $(11011)_2=(27)_{10}$

Step-by-step explanation:

Given : If (11011) = 10

To find : Number in the blank space is?

Solution :

According to question,

11011 is a binary number (base 2). We have to convert it into decimal number (base 10).

Converting binary into number so as in base 10,

Step 1 - Write down the number.

$(11011)_2$

Step 2 - Multiply the digit by the value of the place holder with power of 2.

$11011=1\times 2^4+1\times 2^3+0\times 2^2+1\times 2^1+1\times 2^0$

Step 3 - Add all terms together.

$11011=16+8+0+2+1$

$11011=27$

Therefore, The required number blank spaces are $(11011)_2=(27)_{10}$

So, Option 4 is correct.