1 $Which of the following represents the decimal number $25$ in binary?$

A.

B.

C.

D.

2 $Convert the hexadecimal number to its decimal equivalent.$

A.

$29$

B.

$28$

C.

$31$

D.

$30$

3 $What is the decimal value of the binary number ?$

A.

$5.25$

B.

$5.50$

C.

$5.35$

D.

$5.75$

4 $Which of the following is an unweighted code?$

A.

Excess-3 Code

B.

8421 Code

C.

2421 Code

D.

BCD Code

5 $Convert the binary number to Gray code.$

A.

$1110$

B.

$1011$

C.

$1010$

D.

$1100$

6 $The Gray code $1011$ represents which binary number?$

A.

B.

C.

D.

7 $What is the BCD (8421) representation of decimal number $12$?$

A.

$1100$

B.

$00010010$

C.

$00001100$

D.

$00100001$

8 $What is the Excess-3 code for the decimal number $6$?$

A.

$0110$

B.

$1100$

C.

$1001$

D.

$1000$

9 $The 2's complement of the binary number $10110$ is:$

A.

$01010$

B.

$10111$

C.

$01001$

D.

$01011$

10 $In 8-bit 2's complement representation, what is the range of integers that can be represented?$

A.

-256 to +255

B.

0 to 255

C.

-127 to +128

D.

-128 to +127

11 $Perform the subtraction using 2's complement method.$

A.

B.

C.

D.

12 $Which logic gate is known as the 'Universal Gate'?$

A.

NAND

B.

OR

C.

AND

D.

XOR

13 $The output of an XOR gate is HIGH only when:$

A.

Both inputs are HIGH

B.

Both inputs are LOW

C.

The inputs are the same

D.

The inputs are different

14 $Which boolean law states that ?$

A.

Distributive Law

B.

De Morgan's Law

C.

Absorption Law

D.

Redundancy Law

15 $According to De Morgan's first theorem, is equal to:$

A.

B.

C.

D.

16 $A 4-variable K-Map contains how many cells?$

A.

12

B.

32

C.

16

D.

8

17 $In a K-Map, grouping 4 adjacent $1$s (a quad) eliminates how many variables from the term?$

A.

2

B.

3

C.

0

D.

1

18 $The canonical sum of products (SOP) form consists of terms called:$

A.

Maxterms

B.

Minterms

C.

Sumterms

D.

Midterms

19 $Convert the octal number to binary.$

A.

B.

C.

D.

20 $What is the 9's complement of the decimal number $27$?$

A.

$72$

B.

$82$

C.

$73$

D.

$28$

21 $The boolean expression simplifies to:$

A.

B.

$0$

C.

D.

$1$

22 $Which of the following codes is known as a self-complementing code?$

A.

Excess-3

B.

Octal

C.

8421 BCD

D.

Gray Code

23 $The simplified boolean expression for the K-Map grouping involving corners of a 4-variable map ($0000, 0010, 1000, 1010$) is:$

A.

B.

C.

D.

24 $The symbol represents which form?$

A.

Canonical POS

B.

Simplified SOP

C.

Canonical SOP

D.

Standard POS

25 $In boolean algebra,$

A.

B.

C.

D.

$1$

26 $Which gate is equivalent to an AND gate followed by a NOT gate?$

A.

NAND

B.

XNOR

C.

XOR

D.

NOR

27 $What is the result of adding binary numbers ?$

A.

$10100$

B.

$11000$

C.

$11100$

D.

$10010$

28 $A digital circuit that produces a logic $1$ output when the input number of $1$s is odd is:$

A.

XOR gate

B.

XNOR gate

C.

AND gate

D.

OR gate

29 $If and, what is the value of ?$

A.

$0$

B.

$1$

C.

High Impedance

D.

Indeterminate

30 $The dual of the boolean expression is:$

A.

B.

C.

D.

31 $In a 3-variable K-map, the cells and are considered:$

A.

Opposite

B.

Isolated

C.

Diagonal

D.

Adjacent

32 $Which of the following is equivalent to the Boolean function ?$

A.

B.

C.

D.

33 $Convert the binary fraction to decimal.$

A.

$0.375$

B.

$0.725$

C.

$0.500$

D.

$0.625$

34 $What is the radix of the octal number system?$

A.

8

B.

10

C.

16

D.

2

35 $The boolean expression is equivalent to:$

A.

B.

C.

D.

36 $To perform binary subtraction using 1's complement:$

A.

Add to 1's complement of . If carry generated, add 1 to sum.

B.

Add to .

C.

Subtract directly.

D.

Add to 1's complement of . If carry generated, ignore it.

37 $What is the minimum number of NAND gates required to implement an OR gate?$

A.

3

B.

2

C.

4

D.

1

38 $In K-Map simplification, 'Don't Care' conditions are represented by:$

A.

1

B.

0

C.

X

D.

Z

39 $The Gray code is often used in:$

A.

Arithmetic operations

B.

Shaft position encoders

C.

Error correction

D.

Floating point operations

40 $Which of the following corresponds to the Logic equation ?$

A.

XOR

B.

NOR

C.

XNOR

D.

NAND

41 $What is the 1's complement of $100100$?$

A.

$011011$

B.

$011100$

C.

$100101$

D.

$011010$

42 $Convert decimal $13$ to Excess-3 code.$

A.

$0100$

B.

$01000110$

C.

$10000$

D.

$1101$

43 $The distributive law applies to:$

A.

Only boolean algebra

B.

Neither

C.

Only ordinary algebra

D.

Both boolean and ordinary algebra

44 $If a 3-input NAND gate has inputs, the output is:$

A.

0

B.

1

C.

Undefined

D.

High Impedance

45 $The standard POS form of the expression corresponds to:$

A.

Product of Minterms

B.

Sum of Maxterms

C.

Sum of Minterms

D.

Product of Maxterms

46 $The binary code for Hexadecimal is:$

A.

$1011$

B.

$1100$

C.

$1010$

D.

$1101$

47 $Which theorem allows moving a bubble from the output of an AND gate to the inputs, changing the gate to OR?$

A.

De Morgan's Theorem

B.

Superposition Theorem

C.

Duality Theorem

D.

Consensus Theorem

48 $Overflow in 2's complement addition occurs when:$

A.

Carry out occurs from MSB

B.

Always when carry out is 1

C.

Adding a positive and a negative number

D.

Adding two numbers of same sign yields a result of opposite sign

49 $In a 4-variable K-Map, how are the rows and columns labeled?$

A.

Gray Code ($00, 01, 11, 10$)

B.

Randomly

C.

Binary Sequence ($00, 01, 10, 11$)

D.

Decimal Order

50 $The value of in boolean algebra is:$

A.

B.

C.

$1$

D.

Unit 3 - Practice Quiz