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1.8) Simplify the Boolean expression (A+B+C)(D+E)' + (A+B+C)(D+E) and choose the best answer. _____ A +B +C D + E A'B'C' D'E' None of the

1.8) Simplify the Boolean expression (A+B+C)(D+E)' + (A+B+C)(D+E) and choose the best answer. _____

A +B +C

D + E

A'B'C'

D'E'

None of the above

1.9) Which of the following relationships represents the dual of the Boolean property x + x'y = x + y? _____

x'(x + y') = x'y'

x(x'y) = xy

xx'+y=xy

x'(xy') = x'y'

x(x' + y) = xy

2.0) Given the function F(X,Y,Z) = XZ + Z(X'+ XY), the equivalent minimum SOP Boolean representation for F is: _____

Z+YZ

Z+XYZ

Z

X + YZ

None of the above

2.1) Simplification of the Boolean expression (A + B)'(C + D + E)' + (A + B)' yields which of the following results? _____

a. b. c. d. e.

2.2) Given expression

a. b. c. d. e.

A + B A'B' C +D +E C'D'E' A'B'C'D'E'

that F = A'B'+ C'+ D'+ E', which of the following represent the only correct for F'? _____

F'= A+B+C+D+E F'= ABCDE F'= AB(C+D+E) F'= AB+C'+D'+E' F'= (A+B)CDE

2.3) An equivalent representation for the Boolean expression A' + 1 is _____ .

a. A b. A' c. 1 d. 0

2.4) Simplification of the Boolean expression AB + ABC + ABCD + ABCDE + ABCDEF yields which of the following results? _____

ABCDEF

AB

AB+CD+EF

A +B +C +D + E + F

A + B(C+D(E+F))

2.5) Demorgan's Theorem: evaluate

a) (AB)= _____ b) (A+B)=_____ c) (AB+C)=_____ d) ((AB)C)=_____ e) (AB)=_____ f) (A+B)=_____

2.6) Draw gate level circuit for this Boolean expression AB(C+D)+(AB)(C+D)

2.7) prove that this expression (above) is or is not in the simplest form, if it isnt find the simplest form

2.8) Evaluate the expression AB) , think about this question carefully. _____

2.9) Simplify to minimum SOP by any method F=ABCD+ABCD+ABCD+ABCD+ABCD+ABCD

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