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WorksheetsDigital Electronics (Weekend Assignment - 3)
Total questions: 20
Worksheet time: 48mins
From a given tautology, another tautology can be derived by interchanging
0 and 1
AND and OR
0 and 1; AND and OR
impossible to always drive
If # is a Boolean operation defined as x # y = x'y + xy'.
Consider z = x # y, then z # x is?
x
y
0
1
a
b
c
d
How many minimum number of gates required to implement the Boolean function (A + BC) if you have to use only 2-input NOR gate?
2
3
4
5
Consider the following Boolean function of four variables
f(A, B, C, D)=Σ(1, 3, 4, 5, 6, 7, 12, 14)
The function is
independent of 1 variable
independent of 2 variables
independent of 3 variables
independent of all variables
Operator $ is defined as x $ y = x' + y. Let z = x $ y. The value of z $ x
x' + y
x
0
1
The Boolean variables x, y, z that satisfy Boolean expression xy+x'y=1 and xz+y=0 is
1, 0, 0
0, 1, 1
1, 0, 1
0, 0, 1
The output of the given MUX can be represented by
AB + BC' + C'A + BC
A + B + C
A + B
A'B'C + A'BC' ABC
The Boolean expression for the output f is?
Find out the Boolean expression of f
(P+Q)'
(Q+R)'
(P+R)'
(P+Q+R)'
A subtractor is not usually present in a computer system because
it is expensive
it is not possible to design it
the adder will take care of subtraction
comparator can take care of subtraction
The output F is given by
1
0
X
X'
Which of the following expressions does NOT represent exclusive NOR of x and y?
xy+x'y'
x <XOR> y′
x' <XOR> y
x' <XOR> y'
The give Karnaugh Map of 4 Boolean function F is given. A, B, C are don't care conditions. What value of A, B, C will result in the minimal expression?
A = B = C = 1
B = C = 1; A = 0
A = C = 1; B = 0
A = B = 1; C = 0
The working of a staircase switch is a typical example of the logical operation
OR
AND
Exclusive - OR
Exclusive - NOR
What is the minimal form of the given k-map?
b'd'
b'd'+b'c'
b'd'+ab'c'd
b'd'+b'c'+c'd'
The total number of Boolean functions of three variables X, Y, and Z such that f (X, Y, Z) = f (X', Y', Z') is
8
16
32
64
In order to make the given circuit a tautology, the '?' box should be replaced with.
Note: This is a multi select type question.
an OR gate
an AND gate
a NAND gate
a NOR gate
The Boolean expression for the given diagram
a tautology
an inconsistency
independent of A
independent of B
The truth table represents the function
X
X + Y
X <XOR> Y
Y
