I don't understand when 100 appear in add what I should do. what the carry for the next step? They are marked with red and blue colors
how to add in binary
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Let's go step by step:
First we add the values in the 1's column:
1 + 1 + 1 + 0 = 11. We carry the 2's column of the result and continue:Now we add the values of the 2's column (including the carry):
1 + 1 + 0 + 1 + 1 = 100. I think this is where your confusion started, because the sum has 3 columns instead of 2. We can just carry both extra columns:Continuing on to add the values of the 4's column:
0 + 0 + 1 + 0 + 1 = 10. We have a1to carry over to the 8's column, but there's already a carried1there! So we add the two carries:1 + 1 = 10. Essentially, we shift the carry in the 8's column over the 16's column:We add the 8's column (
0 + 0 + 1 + 1 + 0 = 10) and once again we have a "collision" of our carried values. So just like before, we add the carries, resulting in a "shift":Add the 16's column and carries:
After adding the 32's column:
All that remains is our carry in the 64's column: