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How do you multiply in binary?

Updated: 4/28/2022
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13y ago

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It's pretty much just like multiplying in base-10 by hand, but you will not have any 'carrying over' to do, since the only possibilities are 0 & 1: 0x0 = 0, 0x1=0, 1x0=0, 1x1=1 (except when you add up the column of numbers after multiplying). An example: Five times six = thirty. So Five is 101 and Six is 110.

00101

x0110

-----

00000

0101

101

--------

11110 ---> in base-10: 16 + 8 + 4 + 2 = 30.

that did not have any carry overs, but if you had to add two or more ones (1+1=10), then a one would carry over to the next column.

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