Question

If (11011)^2 =(_________)^10 then number in the blank space is
(a)22
(b)27
(c)30
(d)33​

Answer 1

Answer:

27

Step-by-step explanation:

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

Binary number can be converted into decimal number by adding up the binary digits multiplied by their power of 2.

thus 11011 written as decimal number

= 1 × 2^0 + 1 × 2^1 + 0 × 2^2 + 1 × 2^3 + 1 × 2^4

= 1 + 2 + 8 + 16

= 27

Answer 2

Answer:

27

(11011)₂ = (27)₁₀

Step-by-step explanation:

Correct Question is

(11011)₂ =  ( ?  )₁₀

We need o convert binary number into Decimal Number

(11011)₂ = (1 * 2⁴  +  1 * 2³   + 0 *  2²   +  1 * 2¹  +  1 * 2⁰ )₁₀

=> (11011)₂ = (1 * 16  +  1 * 8   + 0 *  4   +  1 *2  +  1 * 1 )₁₀

=> (11011)₂ = (16  + 8   + 0   + 2  +   1 )₁₀

=>  (11011)₂ = (27)₁₀

Blank space will be replaced by 27

(11011)₂ = (27)₁₀