Construct a truth table for the following Boolean expressions: a. ABC + ABC b. ABC + ABC + ABC c . A (BC + BC) d . (A + B) (A + C) (A + B)
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Construct a truth table for the following Boolean expressions:
a. ABC + ABC
b. ABC + ABC + ABC
c . A (BC + BC)
d . (A + B) (A + C) (A + B)
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- Simplify these Boolean expressions as much as possible: a) ((A+D)'(C'+B')'+C)' b) A'B+CA'D+B'+D' c) (A+(AB)'+C(AB)')(A+BA'+B')Simplifies the following Boolean algebraic expressions. ABC (ABC’ + AB’C + A’BC) XY (X’YZ’ + XY’Z’ + X’Y’Z’) XY + XYZ’ + XYZ’ + XYZComputer science Obtain the Dual of the following boolean expressions. (i) AB +A(B+C)+ B'(B + D) (ii) A+B+ A'B'C (iii) A'B + A'BC' +A'BCD + A'BC'D'E
- Boolean Logic Draw the truth table for the following functions: F(A,B)=AB+(A+B) F(A,B,C)=AB+BC+CA F(A,B,C,D)=ABC+ABD+BC¯D Digital Circuits Draw the truth tables for the following Boolean expressions. xy+yz+xz x¯y+yz¯+x¯z (x⊕y)+(y⊕z)+(x⊕z) (xy)¯⊕z Draw circuit diagrams implementing each of the above expressions. You may simplify the expressions or not, as you choose. You may use any of the six fundamental logic gates (AND, OR, NOT, NAND, NOR and XOR).Draw a DAG for the following expression:A = (A + B) * (- (B/D) + (D - E))Construct a truth table based on the following Boolean expressions below: F = (A' + B' + C') (A + B + C) (A' + B' + C) (A + B + C')
- B). Using Boolean algebra, simplify the following Boolean expressions: i. Z=A’C(A’BD)’+A’BC’D’+AB’C ii. (B +BC)(B +B’C)(B+D)Draw the truth table of the boolean expression X = A.B.C + A'.C' + A'.B'. Do, not simplify the expression and draw the truth table directly.2. Look for the dual of the following Boolean expressions:a. xyz + x'y'z'b. xz' + x⋅0 +x'⋅1
- digital logic Give three possible ways to express the following Boolean function with eight or fewer literals:F = A’BC’D + AB’CD + A’B’C’+ ACD’Answer the following questions based on the boolean expression below: A'B(C B) + AB(C B)' A)Draw the logic diagram b) Construct the truth table1) The simplified version of the Boolean function, F(x,y,z)= x’y’z+x’yz+x’yz’+xy’z’+xyz+xyz’ , can be written as: 2) The simplified version of the Boolean function, F(x,y,z)= x’y’z+x’y’z+x’yz+x’yz’+xy’z’+xyz’ , can be written as: