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.
Trang 1Name: Thái Đình Chinh
Class: SE17C01 – CEA201
ID: DE170147
Given truth table as following:
a Define Boolean expression of F (F is the function of A, B, C, D)
b Using Boolean algebra, provide the simplified expression
c Using Karnaugh map, provide the simplified expression
d Design the intergrated circuit following the simplified expression of c
-Let do it !!
Apply knowledge from Ch11: Digital Logic
a Define Boolean expression of F:
F = + + + + + + +
Trang 2b 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 ) =
1 So apply it with the example above
=> F =
c Using Karnaugh map, provide the simplified expression
=> 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