Question

1. what is the result of adding these two binary numbers?

00011011
+ 00001111

39, in binary it is 00100110
38, in binary it is 00011111
42, in binary it is 00101010
42, in binary it is 00101101

Explanation:

Step1: Add binary digits right to left

Start from the rightmost bit, applying binary addition rules ($0+0=0$, $0+1=1$, $1+1=0$ with carryover 1):

$$\begin{align*} &\ \ \ 00011011\\ +&\ \ \ 00001111\\ \hline &\ \ \ 00101010 \end{align*}$$

Step2: Convert binary to decimal

Calculate decimal value of $00101010$:
$$(1 \times 2^5) + (0 \times 2^4) + (1 \times 2^3) + (0 \times 2^2) + (1 \times 2^1) + (0 \times 2^0) = 32 + 8 + 2 = 42$$

Answer:

42, in binary it is 00101010