(Calendar Example) Consider a different encoding for the number of days in a month if we have a…

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(Calendar Example) Consider a different encoding for the number of days in a month if we have a display that uses d28 to turn on the first 28 numbers, d29 to turn on just the 29th, d30 to turn on just the 30th, and d31 to turn on just the 31st. In this case, the output for April would be d28 = 1, d29 = 1, d30 = 1, d31 = 0 and the output for February of a non-leap year would be d28 =1 with all the others equal to 0. Show the effect of this new encoding by rederiving the equations for the four outputs.