Question

Converting binary to decimal (step by step)

Adding binary to get their sum (step by step)

The foundation of number-base

How many bits does it take to represent a number, what does it mean?

Answer 1

\[10011_2=1\times2^4+0\times2^3+0\times2^2+1\times2^1+1\times2^0\\
\qquad\quad=1\times16+0\times8+0\times4+1\times2+1\times1\\
\qquad\quad=16+2+1\\
\qquad\quad=19\]

Answer 2

Sum:
1001 + 1011 =

1001
1011

Working from the right:
1 + 1 = 10 (binary)
You get 0 and carry the 1.
0

0+1+1 = 10
You get 0 and carry the 1.
0

0+0+1 = 1
1

1+1 = 10
You get 0 and carry the 1.
0

1
Answer:
10100