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converting between the binary and decimal number systems is super super easy when you lay it out like this so we want to convert between binary and decimal and we choose a random binary number like one zero one zero the way that weamp;#39;re going to do this is we start out at the rightmost number and we label that at the bottom with a zero and then going towards the left we go 0 1 2 3 and just continue counting out for however big the binary number is now below that index or whatever we assign that particular number weamp;#39;re going to write 2 to whatever that number is now what weamp;#39;re going to do next is weamp;#39;re going to look at the initial binary number we can see that thereamp;#39;s a one above the number eight and a one above the number two which means for our particular number that is on for eight and two or for example we have an 8 and a 2. so when we want to convert this number to a decimal number itamp;#39;s super simple we just add up every single multiple