Binary sum?

Number Theory Level 1

$\large{\begin{array}{ccccc} &1& 1& 0 & 0&1\\ + & &1 & 0 & 1&1\\ \hline \end{array}}$

Compute the binary sum above. Be sure to give your answer in binary.

2 solutions

Aareyan Manzoor
Feb 1, 2016

It is like this: $1_2+0_2=1_2, 1_2+1_2=10_2$ we use classical addition.

Sum the last digit: $1_2+1_2=10_2$ . carry the 1 and repeat this process for all the digits, we will end up with $100100_2$

Guillermo Templado
Jan 24, 2016

11001 converted to decimal is 25 while 1011 converted to decimal is 11. Adding these two decimal numbers gives 36.

Now we convert 36 back to base 2:

$36 = 2^5 + 2^2 \longrightarrow \boxed{100100}$

Try to think in base 2.

Jerry McKenzie - 4 years, 1 month ago

Now I'm going to think in base 3

Guillermo Templado - 4 years, 1 month ago