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Worksheets

Digital Logic Circuits

Total questions: 90

Worksheet time: 47mins

Name
Class
Date
1.
Which is typically the longest: bit, byte, nibble, word?
a)
Bit
b)
Byte
c)
Nibble
d)
Word
2.
What decimal number does 25 represent?
a)
10
b)
31
c)
25
d)
32
3.
What are the symbols used to represent digits in the binary number system?
a)
0,1
b)
0 through 8
c)
0,1,2
d)
1,2
4.
The output of an AND gate is LOW ________.
a)
all the time
b)
when any input is HIGH
c)
when all inputs are HIGH
d)
when any input is LOW
5.

Convert binary 111111110010 to hexadecimal.

a)

EE216

b)

FF216

c)

2FE16

d)

FE216

6.
What is the hexadecimal equivalent to the decimal
number 2610?

a.  8H
b.  1AH
c.  A1H
d.  20H
a)
A.
b)
B.
c)
C.
d)
D.
7.
What is the decimal equivalent to the binary number 11012?
a.  1110
b.  1310
c.  1410
d. 1210
a)
A.
b)
B.
c)
C.
d)
D.
8.
What is the decimal equivalent to the binary number 1101102?
a.  5410
b.  5010
c.  5510
d.  5110
a)
A.
b)
B.
c)
C.
d)
D.
9.
What is the binary equivalent to the decimal number 1710?
a.  11012
b.  11112
c.  100012
d.  100112
a)
A.
b)
B.
c)
C.
d)
D.
10.

Convert 110101111 to an octal number

a)

6578

b)

6678

c)

3678

d)

6448

11.

The conversion of decimal number (37.8125) to Binary is

a)

100101.1101

b)

11010.0101

c)

101010.1010

d)

010101.0101

12.

Find Octal number equivalent of the Decimal number (214.640625)

a)

326.51

b)

320.15

c)

326.10

d)

326.25

13.

Convert the decimal number 3509 to Hexadecimal

a)

DB5

b)

BD5

c)

5BD

d)

ABC

14.

110001.101 is equal to .......... in Decimal

a)

49.625

b)

50.625

c)

94.625

d)

49.865

15.

101.110.110.11 is equivalent to ------------ in Octal system

a)

56.66

b)

66.66

c)

65.66

d)

66.56

16.

The Hexadecimal equivalent of 1101100010011011 is

a)

D89B

b)

BD98

c)

89BD

d)

DB89

17.

Binary equivalent of the Octal number 725.63 is

a)

111010101.110011

b)

10101010.101010

c)

01010101.0101

d)

None

18.

Find Hexadecimal equivalent of the Octal number 7689.35

a)

ABCD.23

b)

DCBA.EF

c)

ABCD.EF

d)

None

19.

9B2.1A is equivent to ........... in Decimal

a)

2482.1015

b)

2345.1015

c)

2542.1015

d)

None

20.

ABCD.EF is equivalent to ............. in Binary

a)

1010101111001101.11101111

b)

ABCD.EF

c)

10101010101010.1010101010

d)

0101010101.01010101

21.

1's Complement of 1000 is

a)

0111

b)

1000

c)

1010

d)

0101

22.

2's complement of 1000 is

a)

1000

b)

0111

c)

1010

d)

None

23.

How many AND gates are required to realize Y = CD + EF + G?

a)

4

b)

5

c)

3

d)

2

24.
a)

A

b)

B

c)

C

d)

D

25.

How many AND gates are required to realize Y = CD + EF + G?

a)

4

b)

5

c)

3

d)

2

26.
a)

A

b)

B

c)

C

d)

D

27.
a)

A

b)

B

c)

C

d)

D

28.

symbol for a NOT gate?

a)
b)
c)
d)
29.

State the name of this logic gate....

a)

AND

b)

NOT

c)

NOR

d)

OR

30.

Complete the truth table for the logic gate!

a)
b)
31.

One input of a NAND gate is low (logic level 0) and the other input is high (logic level 1).

The output state is?

a)

1

b)

0

32.

The two inputs of a NAND gate are both low (logic level 0). The output state is...

a)

1

b)

0

33.

symbol for a NAND gate is....

a)
b)
c)
d)
34.

What gate is this truth table for?

a)

AND

b)

NOT

c)

OR

d)

THE

35.

Which truth table is this?

a)

XOR

b)

NOR

c)

NAND

d)

NOT

36.

Which are the UNIVERSAL GATES?

a)

XOR Gate & NOT Gate

b)

AND Gate & OR Gate

c)

NAND Gate & NOR Gate

d)

All of the above

37.

In the case of OR gate,no matter what the no. of inputs a

a)

1 at any input causes the output to be at logic 1

b)

1 at any input causes the output to be at logic 0

c)

0 any input causes the output to be at logic 0

d)

0 at any input causes the output to be at logic 1.

38.

The NOR Gate is OR Gate followed by ...............

a)

OR Gate

b)

NOT Gate

c)

AND Gate

d)

None of the above

39.

NAND Gate is called a universal logic element, because

a)

It is used by everybody

b)

Any logic function can be realised by NAND Gate alone

c)

Many digital computers use NAND Gate

d)

All the minimisation techniques are applicable to optimum NAND Gate realisation

40.

Which Logic gate does this Truth Table represent?

a)

AND Gate

b)

OR Gate

c)

NOT Gate

d)

NAND Gate

41.

Which logic gate is shown?

a)

NOR Gate

b)

XOR Gate

c)

XNor Gate

d)

AND Gate

e)

NAND gate

42.

Which Logic gate does this Truth Table represent?

a)

AND Gate

b)

OR Gate

c)

NOT Gate

d)

NAND Gate

43.

Which logic gate is shown?

a)

NOR Gate

b)

XOR Gate

c)

XNor Gate

d)

AND Gate

e)

NAND gate

44.

Which logic gate is shown?

a)

NOR gate

b)

NAND gate

c)

OR gate

d)

NOT gate

45.

Which logic gate is shown?

a)

AND gate

b)

OR gate

c)

NOT gate

d)

NOR gate

46.

What gate is represented by the truth table shown?

a)

NOR gate

b)

NOT gate

c)

AND gate

d)

XOR gate

47.

Which logic gate is shown?

a)

AND gate

b)

XOR gate

c)

OR gate

d)

NOT gate

48.

Which logic gate is represented by the truth table shown?

a)

AND gate

b)

Xor gate

c)

XNOR gate

d)

NAND gate

49.

Which logic gate does the truth table shown represent?

a)

OR gate

b)

NAND gate

c)

XNOR gate

d)

XOR gate

50.

1101 + 1001 = ?

a)

11001

b)

11001

c)

101010

d)

10110

51.

Full Adder can be formed by cascading two half adders

a)

True

b)

False

52.

Which among the following is a combinational circuit

a)

Flip Flop

b)

Latch

c)

Counter

d)

Encoder

53.

The combinational circuit used for routing the input value to the output line based on the select signal combination

a)

Multiplexer

b)

Demultiplexer

c)

Encoder

d)

Decoder

54.

Which among the following is the BCD representation of the decimal number 12

a)

1100

b)

0001 0010

c)

1101

d)

0001 0011

55.

Which flip flop is used for designing counters

a)

T flip flop

b)

SR flip flop

c)

D flip flop

d)

T latch

56.

The excess-3 code of 0010

a)

0101

b)

0011

c)

0100

d)

0110

57.

Which among the following gates is an inequality detector

a)

XOR Gate

b)

XNOR Gate

c)

NAND Gate

d)

NOR Gate

58.

Minterms are:

a)

Sum of Products

b)

Product of Sums

c)

Cannot be determined

59.

Combinational digital circuits are capable of storing atleast one bit of data

a)

True

b)

False

c)

Depends on the design

d)

Cannot be determined

60.

Which among these are non-weighted codes

a)

Excess-3 Code

b)

BCD Code

c)

Gray Codes

d)

Binary Codes

61.

Which among these is called a 'unit distance code'?

a)

Gray Code

b)

Excess-3 Code

c)

BCD Code

d)

Alphanumeric Code

62.

Binary code is also called 8421 code

a)

True

b)

False

63.

How many LEDs does a 7 segment display have

a)

7

b)

8

c)

14

d)

1

64.

From a given tautology, another tautology can be derived by interchanging

a)

0 and 1

b)

AND and OR

c)

0 and 1; AND and OR

d)

impossible to always drive

65.

If # is a Boolean operation defined as x # y = x'y + xy'.

Consider z = x # y, then z # x is?

a)

x

b)

y

c)

0

d)

1

66.
a)

a

b)

b

c)

c

d)

d

67.

How many minimum number of gates required to implement the Boolean function (A + BC) if you have to use only 2-input NOR gate?

a)

2

b)

3

c)

4

d)

5

68.

Consider the following Boolean function of four variables

f(A, B, C, D)=Σ(1, 3, 4, 5, 6, 7, 12, 14)f\left(A,\ B,\ C,\ D\right)=\Sigma\left(1,\ 3,\ 4,\ 5,\ 6,\ 7,\ 12,\ 14\right)  

The function is

a)

independent of 1 variable

b)

independent of 2 variables

c)

independent of 3 variables

d)

independent of all variables

69.

Operator $ is defined as x $ y = x' + y. Let z = x $ y. The value of z $ x

a)

x' + y

b)

x

c)

0

d)

1

70.

The Boolean variables x, y, z that satisfy Boolean expression xy+x'y=1 and xz+y=0 is

a)

1, 0, 0

b)

0, 1, 1

c)

1, 0, 1

d)

0, 0, 1

71.

The output of the given MUX can be represented by

a)

AB + BC' + C'A + BC

b)

A + B + C

c)

A + B

d)

A'B'C + A'BC' ABC

72.

The Boolean expression for the output f is?

a)
b)
c)
d)
73.

Find out the Boolean expression of f

a)

(P+Q)'

b)

(Q+R)'

c)

(P+R)'

d)

(P+Q+R)'

74.

A subtractor is not usually present in a computer system because

a)

it is expensive

b)

it is not possible to design it

c)

the adder will take care of subtraction

d)

comparator can take care of subtraction

75.

The output F is given by

a)

1

b)

0

c)

X

d)

X'

76.

Which of the following expressions does NOT represent exclusive NOR of x and y?

a)

xy+x'y'

b)

x <XOR> yx\ <XOR>\ y'

c)

x' <XOR> y

d)

x' <XOR> y'

77.

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)

A = B = C = 1

b)

B = C = 1; A = 0

c)

A = C = 1; B = 0

d)

A = B = 1; C = 0

78.

The working of a staircase switch is a typical example of the logical operation

a)

OR

b)

AND

c)

Exclusive - OR

d)

Exclusive - NOR

79.

What is the minimal form of the given k-map?

a)

b'd'

b)

b'd'+b'c'

c)

b'd'+ab'c'd

d)

b'd'+b'c'+c'd'

80.

The total number of Boolean functions of three variables X, Y, and Z such that f (X, Y, Z) = f (X', Y', Z') is

a)

8

b)

16

c)

32

d)

64

81.

In order to make the given circuit a tautology, the '?' box should be replaced with.

Note: This is a multi select type question.

a)

an OR gate

b)

an AND gate

c)

a NAND gate

d)

a NOR gate

82.

The Boolean expression for the given diagram

a)

a tautology

b)

an inconsistency

c)

independent of A

d)

independent of B

83.

The truth table represents the function

a)

X

b)

X + Y

c)

X <XOR> Y

d)

Y

84.

To realize the given truth table from the circuit shown in the figure, the input to J in terms of A and B would have to be

a)

A'

b)

B

c)

(AB)'

d)

A'B

85.

The logic function f(A, B, C, D) implemented by the circuit shown below is

a)

D' (A⊕C)

b)

D'(A⊕B)

c)

D(A⊙C)

d)

D(A⊙B)

86.

For the given multiplexer, Y is equal to

a)

AC'D'+A'BC+A'D

b)

AB'C'+AC'D'+A'D

c)

A'B'C'+ACD'+A'D'

d)

AC'D'+A'B'D+AD'

87.

Consider the circuit given. The minimized expression for F is

a)

C'

b)

I0

c)

C

d)

I0'

88.

What is the output of given circuit?

a)

A + B

b)

A . B

c)

A' . B '

d)

( A . B )'

89.

A + A' B + A B ' = ???

a)

A + B

b)

A ' + B

c)

A + B '

d)

A . B

90.

What is the output of given circuit?

a)

A + B

b)

A . B

c)

A ' + B '

d)

A ' . B '