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WorksheetsBoolean Theorems
Total questions: 15
Worksheet time: 20mins
In a positive logic circuit
Logic 0 and 1 represented by 0v (ground) and positive voltage (+VCC respectively )
Logic 0 and 1 represented by negative and positive voltages respectively
Logic 0 voltage level is higher than logic 1 voltage level
Logic 0 voltage level is lower than logic 1 voltage level
In negative logic ,the logic 1 state corresponds to
High voltage level
Low voltage level
Negative voltage level
Ground level
The following equation corresponds to De Morgan’s theorem in booloen algebra
(A+B)(A+B)=A+AB+B
(A+B)(A+B)=AA+AB+BB+BA
(AB)’=A’+B’
None of the above
The Boolean algebra is based on the premises that
Differential equations can be solved by analog circuits
There are two states
Data can be stored and retrieved
None of these
Boolean algebra is different from ordinary algebra in which way?
Boolean algebra can represent more than 1 discrete level between 0 and 1.
Boolean algebra have only 2 discrete levels:0 and 1
Boolean algebra can describe up to levels of logic levels
They are actually the same
Three managers have a key of a safe with them, and it requires any two keys to open the safe. If A, B and C denote the presence of the three managers respectively in front of the safe, write down the switching expression denoting the condition for opening the safe?
A.B + B.C + C.A
(A + B + C) . (A’ + B’ + C’)
(A + B + C) + B.C + C.A + A.B.C
All of these
The switching expression F = X’.Y + Y’.Z’ + X.Y + Y’.Z after minimization becomes
F = X + Y’
F = X + Y
F = 0
F = 1
The dual of the switching expression (X + (Y . 1)) + (Z + 0) is
(X . (Y + 0)) . (Z . 1)
(X . (Y + 1)) . (Z . 0)
(X + (Y + 0)) . (Z + 1)
None of these
The Boolean expression (A + B)'.(A'+ B')' simplifies to
A
B
0
1
The Boolean expression (X + Y).(X + Y') simplifies to
X
Y
XY
X'Y'
Which of the following statements is not correct?
AB + A'C + BC = AB + A'C
A + AB = A
(A + B) (A' + C) (B + C) = (A + B) (A' + C)
AB + A'C = (A + C') (A' + B')
Which of the following expression is dual of
(AB + CD) = (A + C) (A + D) (B + C) (B + D)
(AC + BD) = (A + C) (A + D) (B + C) (B + D)
(AB + CD) = (A + B) (A + D) (B + C) (C + D)
(AD + BC) = (A + B) (A + C) (B + C) (B + D)
Which of the following represents the complement of the function X + YZ
X’(Y+Z)’
X’Y’ +Z’
X’(Y’+Z’)
X’ + Y’Z’
Simplify the Boolean function x(x'+y) to a minimum number of literals.
xx'
xy
xy'
x'y'
Simplify the Boolean function x + (x'y) to a minimum number of literals.
xy
x'y'
x+y
0
