What is the decimal equivalent for the binary number 1001101

What is the decimal equivalent for the binary number 10011011?

A. 153

B. 155

C. 183

D. 185

Solution

Given, binary number is 10011011.

As we start multiplying the powers of 2 for each binary digit from right to left(2^0 to 2^7) as:

(1*2^7)+(0*2^6)+(0*2^5)+(1*2^4)+(1*2^3)+(0*2^2)+(1*2^1)+(1*2^0)

we get,

155.

So, option B is the correct answer.