Question

Find 10111 + 1011 in binary notation then convert to decimal.

Answer 1

100010 ⇒ 34

Step-by-step explanation:

To solve this you first need to convert each individual number to binary

Each digit in a binary number represents a power of 2.

`2^5 + 2^4 + 2^3 + 2^2 + 2^1 + 2^0`

So lets say you have: 010111 (which is the same as 10111)

That is like saying
`0*2^5 +1*2^4+0*2^3+1*2^2+1*2^1+1*2^0`, this is equal to 23.

By repeating the same process for 1011, we get that this is equal to 11

11 + 23 = 34