Name Thái Đình Chinh Class SE17C01 – CEA201 ID DE170147 Given truth table as following A B C D F 0 0 0 0 1 0 0 0 1 1 0 0 1 0 0 0 0 1 1 0 0 1 0 0 0 0 1 0 1 1 0 1 1 0 1 0 1 1 1 1 1 0 0 0 1 1 0 0 1 0 1 0.
Name: Thái Đình Chinh Class: SE17C01 – CEA201 ID: DE170147 Given truth table as following: a b c d A B C D F 0 0 0 1 0 0 0 1 0 0 0 1 1 1 1 1 0 1 0 1 0 1 1 0 1 1 1 1 0 1 1 Define Boolean expression of F (F is the function of A, B, C, D) Using Boolean algebra, provide the simplified expression Using Karnaugh map, provide the simplified expression Design the intergrated circuit following the simplified expression of c -Let it !! Apply knowledge from Ch11: Digital Logic a Define Boolean expression of F: F= + + + ++ ++ b Using Boolean algebra, provide the simplified expression: From a we have: F = + + + + + + + => F = ( + ) + ( + ) + ( + ) + ( + ) => F = ( ( + D)) + (.( + D)) + ( ( + B)) + ( ( + A)) => F = Because of follow the Boolean algebra we have a basic postulates that ( + A ) = So apply it with the example above => F = c Using Karnaugh map, provide the simplified expression 00 00 01 1 01 11 10 11 10 1 => F = + + + ( In Karnaugh map, it is simple to understand it is like in Boolean algebra but is represented by a matrix, and uses simple calculations to represent.) d Design the intergrated circuit following the simplified expression of c