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Binary Arithmetic - Coggle Diagram
Binary Arithmetic
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Shifting Binary Numbers
A binary number can easily be doubled or halved by moving all of the bits one place to the left or right. This is called a binary shift.
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Note that any empty spaces are filled with a zero, and any zeros that "fall off the edge" are ignored.
If a 1 is shifted past the end of a bit pattern then this is called an overflow (left) or underflow (right) and would cause a computer error just like in binary addition.
Shifting a binary number two places to the left would actually multiply it by 4, and three places to the left would multiply it by 8. Can you work out why?
