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Digital Logic Design Quiz 1

Total questions: 20

Worksheet time: 14mins

Name
Class
Date
1.

True or False:

NOT gates can only have one input

a)

True

b)

False

2.

Which logic gate is represented by this truth table?

a)
b)
c)
d)
3.

Which truth table is correct for this logic gate?

a)
b)
c)
d)
e)
4.

"The burglar alarm will go off if either the door or the window or both are opened". This is an example of which type of Logic?

a)

AND

b)

OR

c)

NOT

d)

NOR

5.

Determine the output expression for output X if given

A =1

B = 0

C = 1

a)

X= 0

b)

X= 1

6.

What will the circuit's output be?

a)

1

b)

0

7.

Derive expression for Y

a)

(A⋅B)+C‾‾\overline{\left(A\cdot B\right)+\overline{C}}

b)

(A⋅B)‾+C‾\overline{\left(A\cdot B\right)}+\overline{C}

c)

(A⋅B)‾+C‾‾\overline{\left(A\cdot B\right)}+\overline{\overline{C}}

d)

A⋅B+C‾‾A\cdot\overline{B+\overline{C}}

8.

List the pulse train at the output of this logic gate

a)

a = 1,b = 0,c = 0,d = 1,e = 0,f = 0,g = 1

b)

a = 0,b = 1,c = 1,d = 0,e = 0,f = 1,g = 1

c)

a = 1,b = 0,c = 0,d = 1,e = 1,f = 0,g = 0

d)

a = 0,b = 0,c = 0,d = 1,e = 1,f = 0,g = 1

9.

What is the output?

a)

True

b)

False

10.

Which is the truth table for the OR gate?

a)
b)
c)
d)
e)
11.

Logic statement for Y1Y_1  

a)

A⋅BA\cdot B  

b)

A+BA+B  

c)

A⋅B⋅C⋅DA\cdot B\cdot C\cdot D  

d)

C⋅DC\cdot D  

e)

A+B+C+DA+B+C+D  

12.

Derive Q from the logic circuit given

a)

A  AND  BA\ \ AND\ \ B  

b)

A  OR  BA\ \ OR\ \ B  

c)

B  OR  CB\ \ OR\ \ C  

d)

B  AND  CB\ \ AND\ \ C  

e)

B  AND  C  AND  (B  OR  C)B\ \ AND\ \ C\ \ AND\ \ \left(B\ \ OR\ \ C\right)  

13.

There are .............cells in a 3 variable K map

a)

2

b)

5

c)

9

d)

8

14.

The Boolean function A + BC is a reduced form of

a)

AB + BC

b)

(A + B)(A+C)

c)

A'B+B'C

d)

None

15.

K-MAP is used for..........

a)

Boolean functions minimizations

b)

Boolean functions maximization

c)

Boolean functions minimization without using boolean laws

d)

None

16.

What is the simplified expression?

a)

B' + D

b)

B'D

c)

B + D'

d)

AB + CD

17.

What is the Logic Expression (equation) for this truth table?

a)

Z = XY' + X'Y + XY

b)

Z = (XY')(X'Y)

c)

Z = AB' + A'B

d)

Z = XY' + X'Y

18.
What is the simplified expression?
a)
AB
b)
A'B+AB
c)
B
d)
AC+AB
19.

1. The Demorgan’s law (AB)' = -----------

a)

A'+B'

b)

A+B

c)

A+B'

d)

A'+B

20.

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

a)

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

b)

x(x'y) = xy

c)

x'(xy') = x'y'

d)

x(x' + y) = xy