Question

write expression for Boolean function Y(A, B, C) = ∑ m(0,2,4,7) in standard SOP in terms of its independent variables?​

Answer 1

The Sum of Product (SOP) expression comes from the fact that two or more products (AND) are summed (OR) together. That is the outputs from two or more AND gates are connected to the input of an OR gate so that they are effectively OR’ed together to create the final AND-OR logical output. For example, the following Boolean function is a typical sum-of-product expression:

Thank You

Answer 2

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• A¯B¯CD¯+A¯BCD¯+AB¯C¯D¯+AB¯CD¯
• A¯B¯CD¯+A¯BCD¯+AB¯C¯D¯+AB¯CD¯= A¯CD¯ + AB¯D¯ (After minimizing)
• A¯B¯CD¯+A¯BCD¯+AB¯C¯D¯+AB¯CD¯= A¯CD¯ + AB¯D¯ (After minimizing)Now take a=1,b=0,c=0,d=0; and some other values if required
• A¯B¯CD¯+A¯BCD¯+AB¯C¯D¯+AB¯CD¯= A¯CD¯ + AB¯D¯ (After minimizing)Now take a=1,b=0,c=0,d=0; and some other values if requiredSubstitute in the equation above and in the options
• A¯B¯CD¯+A¯BCD¯+AB¯C¯D¯+AB¯CD¯= A¯CD¯ + AB¯D¯ (After minimizing)Now take a=1,b=0,c=0,d=0; and some other values if requiredSubstitute in the equation above and in the optionsIn this way i am getting is C .