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[Applause] what is binary shifting and why would you want to shift them well the short answer is that binary shifting is either multiplying or dividing by two but letamp;#39;s look into more detail to see exactly whatamp;#39;s going on letamp;#39;s start off by thinking about decimal numbers when we think about decimal numbers we start off with our units our tens our hundreds and our thousands and so on whatamp;#39;s basically happening when we have place value here is that each time we move to the left we multiply by 10 because decimal is base 10 it uses 10 digits the numbers not tonight so each time we move one place to the left we multiply by 10 if I was to have the number 23 letamp;#39;s try that again letamp;#39;s maybe try a different number then letamp;#39;s have the number 32 so thatamp;#39;s two units and three tens now if I wanted to multiply that by ten all I have to do is to move each of these digits one place to the left so the three moves one place to the left and