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in this video were going to talk about how to convert an octal number into a binary number so lets say if we have 56 in the base 8 system that is in the octal system how can we convert that to a number in a binary system that is in the base two system so what you want to do first is separate the five and the six now you want to break it down to these numbers four two and one for each one two to the zero power is one two to the first power is two two squared is four now to convert five into a binary number need to realize that five is the sum of four and one so because we use four and one were going to replace that with a one we didnt use two so were going to replace that with a zero now six is the sum of four and two since we use the 4 and 2 were going to replace that with a 1. we didnt use the 1 so lets replace that with a 0. so 56 in the octal system is equal to 1 0 1 1 1 in the binary system and so this is the final answer for this problem and thats how you can convert a nu