1 $Which logic gate provides a HIGH output only when all of its inputs are HIGH?$

A.

OR Gate

B.

NAND Gate

C.

AND Gate

D.

XOR Gate

2 $The output of an exclusive-OR (XOR) gate with inputs and is HIGH when:$

A.

B.

C.

and

D.

and

3 $Which of the following gates is considered a 'Universal Gate'?$

A.

XOR

B.

AND

C.

OR

D.

NAND

4 $According to De Morgan's first theorem, the complement of a product of variables is equal to:$

A.

The product of their complements

B.

The sum of their complements

C.

The sum of the variables

D.

The difference of their complements

5 $Simplify the Boolean expression .$

A.

B.

C.

D.

6 $In a 3-variable Karnaugh Map (K-Map), how many cells are there?$

A.

4

B.

8

C.

12

D.

16

7 $Which code is used to label the rows and columns of a K-Map to ensure adjacent cells differ by only one bit?$

A.

Binary Code

B.

BCD Code

C.

Gray Code

D.

ASCII Code

8 $What is the Boolean expression for an XNOR gate with inputs A and B?$

A.

B.

C.

D.

9 $A grouping of 4 adjacent 1s (a quad) in a K-Map eliminates how many variables from the term?$

A.

1

B.

2

C.

3

D.

4

10 $What is the dual of the Boolean expression ?$

A.

B.

C.

D.

11 $Which of the following represents the Consensus Theorem?$

A.

B.

C.

D.

12 $In Boolean algebra, a product term containing all variables of the function in either complemented or uncomplemented form is called a:$

A.

Maxterm

B.

Minterm

C.

Standard Sum

D.

Don't Care

13 $How is a 'Don't Care' condition denoted in a K-Map?$

A.

1

B.

0

C.

X

D.

Z

14 $Which law states that ?$

A.

Commutative Law

B.

Associative Law

C.

Idempotent Law

D.

Distributive Law

15 $If a 4-variable K-Map has 1s in cells 0, 1, 2, 3, 4, 5, 6, 7, the simplified expression depends on:$

A.

Only the MSB

B.

Only the LSB

C.

3 variables

D.

1 variable

16 $The relationship between a Minterm () and its corresponding Maxterm () is:$

A.

B.

C.

D.

17 $Standard SOP form is also known as:$

A.

Canonical Disjunctive Normal Form

B.

Canonical Conjunctive Normal Form

C.

Product of Sums

D.

Simplified Form

18 $To implement the expression using only NOR gates, how many NOR gates are required?$

A.

1

B.

2

C.

3

D.

4

19 $What is the output of a logic circuit represented by ?$

A.

B.

C.

D.

20 $In a K-Map, 'wrapping' allows grouping cells from:$

A.

Top row with bottom row

B.

Left column with right column

C.

Both A and B

D.

Diagonal corners

21 $The canonical POS form of a Boolean function is represented using the symbol:$

A.

B.

C.

D.

22 $Which of the following is an invalid group size in a K-Map?$

A.

1

B.

2

C.

6

D.

8

23 $What is the simplification of ?$

A.

B.

$0$

C.

$1$

D.

24 $The NAND gate is logically equivalent to:$

A.

AND gate followed by NOT gate

B.

OR gate followed by NOT gate

C.

NOT gate followed by AND gate

D.

NOT gate followed by OR gate

25 $An Essential Prime Implicant is a Prime Implicant that:$

A.

Covers at least one 1 not covered by any other prime implicant

B.

Contains the largest number of 1s

C.

Has the fewest literals

D.

Includes all Don't Cares

26 $How many rows does the truth table of a 4-input logic gate have?$

A.

4

B.

8

C.

16

D.

32

27 $The simplified Boolean function for a 2-input XOR gate using NAND gates only requires a minimum of how many NAND gates?$

A.

3

B.

4

C.

5

D.

6

28 $What does the expression equate to using De Morgan's Law?$

A.

B.

C.

D.

29 $Which logic family is represented by the equation ?$

A.

NOR

B.

NAND

C.

OR

D.

AND

30 $In a 4-variable K-Map, the cell corresponding to minterm () is adjacent to:$

A.

B.

C.

D.

31 $The expression for 3 variables represents:$

A.

B.

C.

D.

32 $Simplifying results in:$

A.

B.

C.

D.

33 $A NOT gate is also known as a(n):$

A.

Rectifier

B.

Inverter

C.

Buffer

D.

Flip-flop

34 $Which property allows ?$

A.

Commutative

B.

Distributive

C.

Associative

D.

Absorption

35 $The implementation of the function using NAND gates requires a structure known as:$

A.

NAND-NAND

B.

NOR-NOR

C.

AND-OR-INVERT

D.

OR-AND

36 $For a function, the minterm represents which Boolean product?$

A.

B.

C.

D.

37 $In a POS (Product of Sums) expression, a Maxterm involves:$

A.

ANDing of variables

B.

ORing of variables

C.

Exclusive ORing

D.

NANDing

38 $What is the output of ?$

A.

0

B.

1

C.

D.

39 $What is the output of ?$

A.

0

B.

1

C.

D.

40 $Redundant groups in a K-Map should be:$

A.

Kept for safety

B.

Eliminated

C.

Converted to Don't Cares

D.

Doubled

41 $The Absorptive Law simplifies to:$

A.

B.

C.

D.

42 $Which of the following represents the Product of Sums (POS) canonical form for a 2-variable XOR function ()?$

A.

B.

C.

D.

43 $If, then is:$

A.

0

B.

1

C.

D.

44 $Which gate is equivalent to an OR gate with inverted inputs (Bubbled OR)?$

A.

NOR

B.

NAND

C.

AND

D.

XOR

45 $What is the result of ?$

A.

B.

C.

D.

46 $In a 4-variable K-Map, the four corners () form a group that simplifies to:$

A.

B.

C.

D.

47 $What is the complement of the function ?$

A.

B.

C.

D.

48 $A prime implicant that is included in the final simplified expression is called:$

A.

Essential Prime Implicant

B.

Redundant Prime Implicant

C.

Selective Prime Implicant

D.

Chosen Prime Implicant

49 $Which of the following expressions corresponds to the logic diagram of a 2-input NOR gate?$

A.

B.

C.

Both A and B

D.

None of the above

50 $The number of NAND gates required to implement the function is:$

A.

2

B.

3

C.

4

D.

5

Unit 2 - Practice Quiz