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in this video i formulize how you can calculate the number range for binary patterns in the previous video in the playlist we looked to see what value this nibble gave us where everything is a zero and we worked out that it was indeed a zero in our number system we went on to show what a nibbles value was when every position was a one and we worked out that to be fifteen we can now talk about the range of values that you could expect to see within a nibble and the range will go from zero and every other number up to the value of 15. where 15 is the biggest value you can expect to see in a nibble we then in a previous video discussed combinations that are possible with a nibble and we use this formula 2 to the n where n is the number of bits and of course for a nibble the number of bits are four and two to the four is clearly 16. consider the range the maximum value is one less than the number of combinations which we know to be 16 so the number of combinations are 16 and we can see t