1. Simplify the following Boolean expressions to a minimumnumber of literals: a. xy + xy ′ b. ( x + y ) ( x + y ′ ) c. xyz + x ′ y + xyz ′ d. ( x + y ) ′ ( x ′ + y ′ ) ′
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1. Simplify the following Boolean expressions to a minimumnumber of literals:
a. xy + xy ′
b. ( x + y ) ( x + y ′ )
c. xyz + x ′ y + xyz ′
d. ( x + y ) ′ ( x ′ + y ′ ) ′
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- Computer Science 4、Write the truth table for each of the following logic functions: (1) F = AB′+B′C+CD′+CA′ (2) F = (A′+B+C′)(A′+B′+D)(B+C+D′)(A+B+C+D) (3) F = AB+AB′C′+A′BC (4) F = XY′+YZ+ZB). 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)Simplify the following expressions using Boolean Algebra:Z = (C + D)’ + A’ C D’ + A B’ C’ + A’ B ‘C D + A C D’
- Construct a truth table based on the following Boolean expressions below: F = (A' + B' + C') (A + B + C) (A' + B' + C) (A + B + C')Simpilify the following expressions by means of boolean algebra. xyz +x'yz+x'yz'+xyz'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)
- Simplify the boolean expression given below - YZ + XZ + YZThe following function is given. Implement it using a 3x8 multiplexer F (A, B, C, D) = ∏ (0, 2, 5, 9, 11, 14 d (don’t care) (A, B, C, D) = ∑ (3, 8, 10, 15) Draw truth tables, Karnaugh maps, logic diagramsBoolean 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).