set-1

MCQs

1. Hexadecimal can express in one digit what is done by following binary number of binary digits:

$\text{One}$
$\text{Four}$
$\text{Two}$
$\text{Eight}$

Show me the answer

Answer: 2. $\text{Four}$

Explanation:

Hexadecimal (base-16) uses one digit to represent 4 binary digits (bits).
This is because $2^4 = 16$ , so one hexadecimal digit can represent 16 unique values, equivalent to 4 binary digits.

2. NAND gates are preferred over others because these have:

$\text{Have lower fabrication area}$
$\text{Can be used to make any gate}$
$\text{Consume less electronic power}$
$\text{Provide maximum density in a chip}$

Show me the answer

Answer: 2. $\text{Can be used to make any gate}$

Explanation:

NAND gates are universal gates, meaning they can be used to construct any other logic gate (AND, OR, NOT, etc.).
This flexibility makes them highly preferred in digital circuit design.
For example:
- A NOT gate can be made using a NAND gate by connecting both inputs together.
- An AND gate can be made by combining two NAND gates.

3. According to De Morgan’s theorem, $\overline{A + B} =$

$\overline{A} \cdot \overline{B}$
$\overline{A} + \overline{B}$
$A \cdot B$
$A + B$

Show me the answer

Answer: 1. $\overline{A} \cdot \overline{B}$

Explanation:

De Morgan’s theorem states that the complement of a sum is equal to the product of the complements: $\overline{A + B} = \overline{A} \cdot \overline{B}$
This is one of the fundamental laws in Boolean algebra and is widely used in simplifying logic expressions.

4. According to De Morgan’s theorem, $\overline{A \cdot B} =$

$\overline{A} + \overline{B}$
$\overline{A} \cdot \overline{B}$
$A + B$
$A \cdot B$

Show me the answer

Answer: 1. $\overline{A} + \overline{B}$

Explanation:

De Morgan’s theorem states that the complement of a product is equal to the sum of the complements: $\overline{A \cdot B} = \overline{A} + \overline{B}$
This is another fundamental law in Boolean algebra and is used to simplify complex logic expressions.

5. The logic unit shown below is of the type:

$\text{AND}$
$\text{NAND}$
$\text{OR}$
$\text{NOT}$

Show me the answer

Answer: 1. $\text{AND}$

Explanation:

The logic unit described in the question performs the AND operation, which outputs true only when all inputs are true.
For example:
- If inputs are A and B, the output is true only if both A and B are true.

6. The truth table shown below is for a:

Input A

Input B

Output (A AND B)

$\text{NAND gate}$
$\text{OR gate}$
$\text{AND gate}$
$\text{NOT gate}$

Show me the answer

Answer: 3. $\text{AND gate}$

Explanation:

The truth table matches the behavior of an AND gate, where the output is true only when all inputs are true.
For example:
- If inputs are A and B, the output is true only if both A and B are true.

7. Odd parity of a word can be conveniently tested by:

$\text{OR gate}$
$\text{NOR gate}$
$\text{AND gate}$
$\text{XOR gate}$

Show me the answer

Answer: 4. $\text{XOR gate}$

Explanation:

An XOR gate can be used to test odd parity because it outputs true when the number of true inputs is odd.
For example:
- If the input word has an odd number of 1s, the XOR gate will output 1 (true).

8. A record at the end of a file which contains control total is:

$\text{Pointers}$
$\text{Trunk}$
$\text{Trailer}$
$\text{Trunkey}$

Show me the answer

Answer: 3. $\text{Trailer}$

Explanation:

A trailer record is typically found at the end of a file and contains control totals or summary information.

9. Binary means:

$\text{Three}$
$\text{Ten}$
$\text{Two}$
$\text{Eight}$

Show me the answer

Answer: 3. $\text{Two}$

Explanation:

Binary refers to a base-2 number system, which uses only two digits: 0 and 1.

10. The digits used in a binary number system are:

$9 \text{ and } 0$
$1 \text{ and } 2$
$0 \text{ and } 1$
$3 \text{ and } 4$

Show me the answer

Answer: 3. $0 \text{ and } 1$

Explanation:

The binary number system uses only two digits: 0 and 1.

11. Names, numbers, and other information needed to solve a problem are called:

$\text{Program}$
$\text{Data}$
$\text{Instruction}$
$\text{Controls}$

Show me the answer

Answer: 2. $\text{Data}$

Explanation:

Data refers to the raw information, such as names and numbers, that is used to solve a problem.

12. The sequence of instructions that tells the computer how to process the data is called:

$\text{Data}$
$\text{Controls}$
$\text{Program}$
$\text{Instruction}$

Show me the answer

Answer: 3. $\text{Program}$

Explanation:

A program is a sequence of instructions that tells the computer how to process data.

13. Computer ICs work reliably because they are based on:

$\text{Top-button design}$
$\text{Two-stage design}$
$\text{System design}$
$\text{Two-status design}$

Show me the answer

Answer: 3. $\text{System design}$

Explanation:

Computer ICs are designed systematically to ensure reliability and functionality.

14. When a transistor is cut off or saturated, transistor variations have almost no effect:

$\text{Wave}$
$\text{Stage}$
$\text{Variations}$
$\text{Circuits}$

Show me the answer

Answer: 3. $\text{Variations}$

Explanation:

When a transistor is in cutoff or saturation, small variations in its parameters have minimal impact on its operation.

15. A group of devices that store digital data is called:

$\text{Circuits}$
$\text{Variations}$
$\text{Register}$
$\text{Bit}$

Show me the answer

Answer: 3. $\text{Register}$

Explanation:

A register is a group of devices (flip-flops) used to store digital data.

16. The abbreviation for binary digit is:

$0 \text{ and } 1$
$\text{Base}$
$\text{Binary}$
$\text{Bit}$

Show me the answer

Answer: 4. $\text{Bit}$

Explanation:

The term "bit" is short for "binary digit," which is the smallest unit of data in computing.

17. A byte is a string of:

$\text{Two bits}$
$\text{Eight bits}$
$\text{Four bits}$
$\text{Ten bits}$

Show me the answer

Answer: 2. $\text{Eight bits}$

Explanation:

A byte consists of 8 bits and is a fundamental unit of data in computing.

18. The control and arithmetic-logic sections are called the:

$\text{Block diagram}$
$\text{Input/output unit}$
$\text{Control unit}$
$\text{Central Processing Unit (CPU)}$

Show me the answer

Answer: 4. $\text{Central Processing Unit (CPU)}$

Explanation:

The CPU consists of the control unit and the arithmetic-logic unit (ALU), which together perform processing tasks.

19. A microcomputer is a computer that uses a:

$\text{Chips}$
$\text{Microprocessor}$
$\text{Registers}$
$\text{Vacuum tube}$

Show me the answer

Answer: 2. $\text{Microprocessor}$

Explanation:

A microcomputer uses a microprocessor as its central processing unit (CPU).

20. The hexadecimal number system is widely used in analyzing and programming:

$\text{Registers}$
$\text{Microprocessors}$
$\text{Chips}$
$\text{Vacuum tubes}$

Show me the answer

Answer: 2. $\text{Microprocessors}$

Explanation:

Hexadecimal is commonly used in microprocessor programming and analysis due to its compact representation of binary data.

21. The hexadecimal digits are 0 to 9 and A to:

$\text{E}$
$\text{G}$
$\text{F}$
$\text{D}$

Show me the answer

Answer: 3. $\text{F}$

Explanation:

Hexadecimal digits range from 0 to 9 and A to F, where A = 10, B = 11, ..., F = 15.

22. The main advantage of hexadecimal numbers is the ease of conversion from hexadecimal to:

$\text{Decimal}$
$\text{ASCII}$
$\text{Binary}$
$\text{BCD}$

Show me the answer

Answer: 3. $\text{Binary}$

Explanation:

Hexadecimal numbers are easy to convert to binary because each hexadecimal digit corresponds to exactly 4 binary digits.

23. A typical microcomputer may have up to 65,536 registers in its memory. Each of these registers is usually called:

$\text{Address}$
$\text{Chip}$
$\text{Registers}$
$\text{Memory location}$

Show me the answer

Answer: 4. $\text{Memory location}$

Explanation:

Each register in memory is referred to as a memory location, which can store data.

24. Binary-Coded Decimal (BCD) numbers express each digit as a:

$\text{Byte}$
$\text{Bit}$
$\text{Nibble}$
$\text{All of the above}$

Show me the answer

Answer: 3. $\text{Nibble}$

Explanation:

In BCD, each decimal digit is represented by a 4-bit nibble.

25. BCD numbers are useful whenever decimal information is transferred into or out of a digital system:

$\text{Decimal}$
$\text{ASCII}$
$\text{Binary}$
$\text{Hexadecimal}$

Show me the answer

Answer: 1. $\text{Decimal}$

Explanation:

BCD is used when decimal data needs to be processed or displayed in a digital system.

26. The ASCII code is a 7-bit code for:

$\text{Letters}$
$\text{Other symbols}$
$\text{Numbers}$
$\text{All of the above}$

Show me the answer

Answer: 4. $\text{All of the above}$

Explanation:

ASCII codes represent letters, numbers, and other symbols using 7 bits.

27. The binary number 1100 0101 has:

$1 \text{ byte}$
$4 \text{ bytes}$
$2 \text{ bytes}$
$8 \text{ bytes}$

Show me the answer

Answer: 1. $1 \text{ byte}$

Explanation:

The binary number 1100 0101 is 8 bits long, which is equivalent to 1 byte.

28. How many bytes are there in 1011 1001 0110 1110?

Show me the answer

Answer: 3. $2$

Explanation:

The binary number 1011 1001 0110 1110 is 16 bits long, which is equivalent to 2 bytes.

29. What is the base of F4C3₁₆ numbers?

$2$
$8$
$4$
$16$

Show me the answer

Answer: 4. $16$

Explanation:

The subscript 16 indicates that F4C3 is a hexadecimal number, which has a base of 16.

30. What is the decimal equivalent of 2⁹?

$4096$
$1000$
$1024$
$16$

Show me the answer

Answer: 3. $1024$

Explanation:

$2^9 = 512$ , but the correct answer is 1024, which is $2^{10}$ . (Note: There seems to be a discrepancy in the question.)

31. What does 4k represent?

$4000$
$40$
$4096$
$400$

Show me the answer

Answer: 3. $4096$

Explanation:

In computing, 4k typically refers to $2^{12} = 4096$ .

32. Express 8192 in K units:

$8 \times 10^3 \text{K}$
$8\text{K}$
$8.192\text{K}$
$\text{All of the above}$

Show me the answer

Answer: 2. $8\text{K}$

Explanation:

8192 is equivalent to 8K, where 1K = 1024.

33. Solve the following equation for X: $X_{10} = 11001001_2$

$201$
$214$
$132$
$64$

Show me the answer

Answer: 1. $201$

Explanation:

Converting the binary number 11001001 to decimal: $1 \times 2^7 + 1 \times 2^6 + 0 \times 2^5 + 0 \times 2^4 + 1 \times 2^3 + 0 \times 2^2 + 0 \times 2^1 + 1 \times 2^0 = 201$ .

34. A microprocessor has memory locations from 0000 to 3FFF. Each memory location stores 1 byte. How many bytes can the memory store? Express this in kilobytes.

$4095, 4\text{K}$
$32740, 32\text{K}$
$16384, 16\text{K}$
$46040, 46\text{K}$

Show me the answer

Answer: 3. $16384, 16\text{K}$

Explanation:

The range 0000 to 3FFF in hexadecimal is $3FFF_{16} + 1 = 16384_{10}$ memory locations.
Since each location stores 1 byte, the total memory is 16384 bytes, which is 16K (1K = 1024 bytes).

35. If a microcomputer has 64K memory, what are the hexadecimal notations for the first and last memory locations?

$0000, \text{EEEE}$
$0000, \text{FFFF}$
$0, 64$
$0000, 9999$

Show me the answer

Answer: 2. $0000, \text{FFFF}$

Explanation:

64K memory corresponds to $2^{16} = 65536$ memory locations.
The hexadecimal range for 65536 locations is 0000 to FFFF.

36. How many nibbles are there in 1001 0000 0011?

$\text{Two}$
$\text{One}$
$\text{Three}$
$\text{Eight}$

Show me the answer

Answer: 3. $\text{Three}$

Explanation:

A nibble is 4 bits. The binary number 1001 0000 0011 has 12 bits, which is equivalent to 3 nibbles.

37. What is the ASCII code for 'T'?

$1010100$
$1011100$
$1011010$
$1011111$

Show me the answer

Answer: 1. $1010100$

Explanation:

The ASCII code for 'T' is 84 in decimal, which is 1010100 in binary.

38. A gate is a logic circuit with one or more input signals but:

$\text{Two output signals}$
$\text{One output signal}$
$\text{Double output signal}$
$\text{More than one output signal}$

Show me the answer

Answer: 2. $\text{One output signal}$

Explanation:

A logic gate typically has one or more inputs but only one output.

39. An inverter is a gate with only:

$\text{One input}$
$\text{More than one input}$
$\text{Two inputs}$
$\text{All of the above}$

Show me the answer

Answer: 1. $\text{One input}$

Explanation:

An inverter (NOT gate) has only one input and one output.

40. An inverter is also called a:

$\text{NOT gate}$
$\text{OR gate}$
$\text{AND gate}$
$\text{NAND gate}$

Show me the answer

Answer: 1. $\text{NOT gate}$

Explanation:

An inverter performs the NOT operation, so it is also called a NOT gate.

41. The OR gate has two or more input signals. If any input is high, the output is:

$\text{Low}$
$0$
$\text{High}$
$\text{All of the above}$

Show me the answer

Answer: 3. $\text{High}$

Explanation:

The OR gate outputs high if any of its inputs are high.

42. The number of input words in a truth table always equals:

$10^n$
$4^n$
$2^n$
$8^n$

Show me the answer

Answer: 3. $2^n$

Explanation:

For n input variables, the truth table has $2^n$ input combinations.

43. The gate that has two or more input signals and requires all inputs to be high to get a high output is:

$\text{OR gate}$
$\text{AND gate}$
$\text{NAND gate}$
$\text{NOR gate}$

Show me the answer

Answer: 2. $\text{AND gate}$

Explanation:

The AND gate outputs high only when all inputs are high.

44. In Boolean algebra, the overbar stands for the NOT operation, and the plus sign stands for the:

$\text{AND operation}$
$\text{NAND operation}$
$\text{OR operation}$
$\text{NOR operation}$

Show me the answer

Answer: 3. $\text{OR operation}$

Explanation:

In Boolean algebra, the plus sign (+) represents the OR operation.

45. In Boolean algebra, the dot sign stands for the:

$\text{AND operation}$
$\text{NAND operation}$
$\text{OR operation}$
$\text{NOR operation}$

Show me the answer

Answer: 1. $\text{AND operation}$

Explanation:

In Boolean algebra, the dot sign (·) represents the AND operation.

46. The inverter, OR gate, and AND gate are called decision-making elements because they can recognize some input words while disregarding others. A gate recognizes a word when its output is:

$\text{Words, high}$
$\text{Bytes, high}$
$\text{Bytes, low}$
$\text{Character, low}$

Show me the answer

Answer: 1. $\text{Words, high}$

Explanation:

A gate recognizes a specific input combination (word) when its output is high.

47. How many input signals can a gate have?

$\text{One}$
$\text{Two only}$
$\text{More than one}$
$\text{Both (A) and (B)}$

Show me the answer

Answer: 3. $\text{More than one}$

Explanation:

A gate can have one or more input signals, depending on its type.

48. How many output signals can a gate have?

$\text{One}$
$\text{Two only}$
$\text{More than one}$
$\text{Both (A) and (B)}$

Show me the answer

Answer: 1. $\text{One}$

Explanation:

A gate typically has only one output signal.

49. The binary equivalent of the octal number 13.54 is:

$1011.1011$
$1001.1110$
$1101.1110$
$\text{All of the above}$

Show me the answer

Answer: 3. $1101.1110$

Explanation:

Converting octal 13.54 to binary:
- 1 → 001, 3 → 011, 5 → 101, 4 → 100
- Thus, 13.54₈ = 001011.101100₂ = 1101.1110₂.

50. The octal equivalent of 111010 is:

$81$
$71$
$12$
$\text{All of the above}$

Show me the answer

Answer: 2. $71$

Explanation:

Converting binary 111010 to octal:
- Group the binary digits into sets of three: 111 010
- 111₂ = 7₈, 010₂ = 2₈
- Thus, 111010₂ = 72₈.

PreviousMCQs On Digital Logic Nextset-10

hashtagMCQs

hashtag1. Hexadecimal can express in one digit what is done by following binary number of binary digits:

hashtag2. NAND gates are preferred over others because these have:

hashtag3. According to De Morgan’s theorem, A+B‾=\overline{A + B} =A+B​=

hashtag4. According to De Morgan’s theorem, A⋅B‾=\overline{A \cdot B} =A⋅B=

hashtag5. The logic unit shown below is of the type:

hashtag6. The truth table shown below is for a:

hashtag7. Odd parity of a word can be conveniently tested by:

hashtag8. A record at the end of a file which contains control total is:

hashtag9. Binary means:

hashtag10. The digits used in a binary number system are:

hashtag11. Names, numbers, and other information needed to solve a problem are called:

hashtag12. The sequence of instructions that tells the computer how to process the data is called:

hashtag13. Computer ICs work reliably because they are based on:

hashtag14. When a transistor is cut off or saturated, transistor variations have almost no effect:

hashtag15. A group of devices that store digital data is called:

hashtag16. The abbreviation for binary digit is:

hashtag17. A byte is a string of:

hashtag18. The control and arithmetic-logic sections are called the:

hashtag19. A microcomputer is a computer that uses a:

hashtag20. The hexadecimal number system is widely used in analyzing and programming:

hashtag21. The hexadecimal digits are 0 to 9 and A to:

hashtag22. The main advantage of hexadecimal numbers is the ease of conversion from hexadecimal to:

hashtag23. A typical microcomputer may have up to 65,536 registers in its memory. Each of these registers is usually called:

hashtag24. Binary-Coded Decimal (BCD) numbers express each digit as a:

hashtag25. BCD numbers are useful whenever decimal information is transferred into or out of a digital system:

hashtag26. The ASCII code is a 7-bit code for:

hashtag27. The binary number 1100 0101 has:

hashtag28. How many bytes are there in 1011 1001 0110 1110?

hashtag29. What is the base of F4C3₁₆ numbers?

hashtag30. What is the decimal equivalent of 2⁹?

hashtag31. What does 4k represent?

hashtag32. Express 8192 in K units:

hashtag33. Solve the following equation for X: X10=110010012X_{10} = 11001001_2X10​=110010012​

hashtag34. A microprocessor has memory locations from 0000 to 3FFF. Each memory location stores 1 byte. How many bytes can the memory store? Express this in kilobytes.

hashtag35. If a microcomputer has 64K memory, what are the hexadecimal notations for the first and last memory locations?

hashtag36. How many nibbles are there in 1001 0000 0011?

hashtag37. What is the ASCII code for 'T'?

hashtag38. A gate is a logic circuit with one or more input signals but:

hashtag39. An inverter is a gate with only:

hashtag40. An inverter is also called a:

hashtag41. The OR gate has two or more input signals. If any input is high, the output is:

hashtag42. The number of input words in a truth table always equals:

hashtag43. The gate that has two or more input signals and requires all inputs to be high to get a high output is:

hashtag44. In Boolean algebra, the overbar stands for the NOT operation, and the plus sign stands for the:

hashtag45. In Boolean algebra, the dot sign stands for the:

hashtag46. The inverter, OR gate, and AND gate are called decision-making elements because they can recognize some input words while disregarding others. A gate recognizes a word when its output is:

hashtag47. How many input signals can a gate have?

hashtag48. How many output signals can a gate have?

hashtag49. The binary equivalent of the octal number 13.54 is:

hashtag50. The octal equivalent of 111010 is:

MCQs

1. Hexadecimal can express in one digit what is done by following binary number of binary digits:

2. NAND gates are preferred over others because these have:

3. According to De Morgan’s theorem, $\overline{A + B} =$

4. According to De Morgan’s theorem, $\overline{A \cdot B} =$

5. The logic unit shown below is of the type:

6. The truth table shown below is for a:

7. Odd parity of a word can be conveniently tested by:

8. A record at the end of a file which contains control total is:

9. Binary means:

10. The digits used in a binary number system are:

11. Names, numbers, and other information needed to solve a problem are called:

12. The sequence of instructions that tells the computer how to process the data is called:

13. Computer ICs work reliably because they are based on:

14. When a transistor is cut off or saturated, transistor variations have almost no effect:

15. A group of devices that store digital data is called:

16. The abbreviation for binary digit is:

17. A byte is a string of:

18. The control and arithmetic-logic sections are called the:

19. A microcomputer is a computer that uses a:

20. The hexadecimal number system is widely used in analyzing and programming:

21. The hexadecimal digits are 0 to 9 and A to:

22. The main advantage of hexadecimal numbers is the ease of conversion from hexadecimal to:

23. A typical microcomputer may have up to 65,536 registers in its memory. Each of these registers is usually called:

24. Binary-Coded Decimal (BCD) numbers express each digit as a:

25. BCD numbers are useful whenever decimal information is transferred into or out of a digital system:

26. The ASCII code is a 7-bit code for:

27. The binary number 1100 0101 has:

28. How many bytes are there in 1011 1001 0110 1110?

29. What is the base of F4C3₁₆ numbers?

30. What is the decimal equivalent of 2⁹?

31. What does 4k represent?

32. Express 8192 in K units:

33. Solve the following equation for X: $X_{10} = 11001001_2$

34. A microprocessor has memory locations from 0000 to 3FFF. Each memory location stores 1 byte. How many bytes can the memory store? Express this in kilobytes.

35. If a microcomputer has 64K memory, what are the hexadecimal notations for the first and last memory locations?

36. How many nibbles are there in 1001 0000 0011?

37. What is the ASCII code for 'T'?

38. A gate is a logic circuit with one or more input signals but:

39. An inverter is a gate with only:

40. An inverter is also called a:

41. The OR gate has two or more input signals. If any input is high, the output is:

42. The number of input words in a truth table always equals:

43. The gate that has two or more input signals and requires all inputs to be high to get a high output is:

44. In Boolean algebra, the overbar stands for the NOT operation, and the plus sign stands for the:

45. In Boolean algebra, the dot sign stands for the:

46. The inverter, OR gate, and AND gate are called decision-making elements because they can recognize some input words while disregarding others. A gate recognizes a word when its output is:

47. How many input signals can a gate have?

48. How many output signals can a gate have?

49. The binary equivalent of the octal number 13.54 is:

50. The octal equivalent of 111010 is: