Computer Science for IGCSE & O level - Boolean Logic (Section 2)
1
Which logic gate will produce a high output if and only if all inputs are low?
Відповідь
(D)
NOR
2
What are the inputs to a half-adder circuit?
Відповідь
(A)
Two binary digits
3
How many inputs does a two-input AND gate have?
Відповідь
(B)
Two
4
In a logic gate, what does a 'high' signal typically represent?
Відповідь
(B)
1
5
What is the simplified form of (A + 0) in Boolean algebra?
Відповідь
(A)
A
6
What is the purpose of a carry bit in binary addition?
Відповідь
(A)
To indicate that an addition resulted in a sum greater than 1
7
Which of the following Boolean expressions does the logic diagram represents?
Відповідь
(A)
((NOT A) AND B) OR C
8
What is the sum and carry-out of a half-adder if the inputs are A=0 and B=1?
Відповідь
(B)
Sum=1, Carry=0
9
In the context of the examples, what is the primary benefit of using a truth table to verify a logic circuit?
Відповідь
(B)
It ensures that the circuit matches the logic statement.
10
In a logic circuit, the output is high (1) if motor speed is > 3000 rpm AND bearing temperature is <= 80°C, OR water velocity is > 4 m/s. Which of the following statements correctly describes the logic?
Відповідь
(C)
The system outputs 1 if both motor speed and bearing temperature meet the conditions, or water velocity meets the condition.
11
Which of the following is equivalent to the Boolean expression NOT (A OR B)?
Відповідь
(A)
NOT A AND NOT B
12
In Boolean algebra, what does the '.' symbol represent?
Відповідь
(B)
AND
13
Which of the following gates is the result of inverting the output of an OR gate?
Відповідь
(C)
NOR gate
14
Which gate is the inverse of an OR gate?
Відповідь
(C)
NOR gate
15
What is the purpose of a circuit diagram?
Відповідь
(C)
To graphically illustrate the components and their connections.
16
If the output of a logic gate is 0 only when all inputs are 1, what type of gate is it?
Відповідь
(B)
NOR
17
What would be the next step after writing down a logic expression from a truth table?
Відповідь
(A)
To create a logic circuit based on the logic expression.
18
In the context of Boolean algebra, what does '1' typically represent?
Відповідь
(C)
True
19
Which logic gate's output is the inverse of the output of an AND gate?
Відповідь
(B)
NAND gate
20
If a logic circuit's output is high (1) only when all input conditions are met, which type of gate is it?
Відповідь
(B)
AND gate
21
What is the output of a NOT gate if the input is 1?
Відповідь
(A)
0
22
What is the complement of the Boolean expression A.B?
Відповідь
(A)
A' + B'
23
What is the output of a 2-input AND gate if the inputs are 1 and 1?
Відповідь
(B)
1
24
What is the term for a number system based on two digits (0 and 1)?
Відповідь
(C)
Binary
25
What is the result of the expression NOT (A AND B) when A=1 and B=0?
Відповідь
(B)
1
26
How many inputs and outputs does a full adder have?
Відповідь
(C)
3 inputs, 2 outputs
27
In digital circuits, what does the term 'high' often represent?
Відповідь
(B)
1
28
What is the output of an OR gate if both inputs A and B are 1?
Відповідь
(B)
1
29
How are the three parameters related in the wood system example?
Відповідь
(D)
The result depends on which combination of the parameters satisfies a specific condition.
30
Which of the following statements about a NOR gate is correct?
Відповідь
(B)
The output is HIGH if both inputs are LOW
31
In the context of logic circuits, what is a 'high' signal typically represented by?
Відповідь
(C)
A binary 1
32
If all input conditions are not met, what will be the output value in many of the scenarios described?
Відповідь
(A)
0
33
How does the number of possible output states increase with each additional input in a logic gate?
Відповідь
(A)
It doubles
34
Which gate yields an output of 0 if *any* of its inputs are 1?
Відповідь
(D)
NOR
35
In the expression Y = (A AND B) OR C, which operation is performed LAST?
Відповідь
(B)
OR
36
What is the result of the Boolean expression 0 + 1?
Відповідь
(B)
1
37
Which of the following is the Boolean expression for a NAND gate?
Відповідь
(D)
(A . B)'
38
What does the term 'logic' refer to in the context of logic circuits?
Відповідь
(B)
The mathematical principles that govern the circuit's behavior.
39
Which of the following is the correct Boolean expression for a 2-input NOR gate?
Відповідь
(D)
NOT (A OR B)
40
What is the function of the logic gates?
Відповідь
(C)
To process binary data
41
What is the role of sensors in the logic circuit (exam-style)?
Відповідь
(B)
To convert real-world conditions into electrical signals for the input.
42
What is used to verify the correctness of the logic circuit?
Відповідь
(B)
The truth table.
43
What is the function of a 'full adder' circuit?
Відповідь
(A)
To add two single-bit binary numbers and a carry-in.
44
What is the most simplified form of the boolean expression: A + A'B?
Відповідь
(A)
A
45
The output of an AND gate is 0 if:
Відповідь
A
B
46
A certain logic gate always gives the output 1 if the inputs are different. Which gate is this?
Відповідь
(B)
XOR gate
47
What is an appropriate approach for the design of a circuit?
Відповідь
(A)
Start with a truth table, then create a logic expression, then draw the circuit.
48
In the logic circuit examples, what is the primary purpose of using a truth table?
Відповідь
(D)
To determine the output values for all possible input combinations.
49
What is the output of a NOT gate if the input is 0?
Відповідь
(B)
1
50
What is a truth table mainly designed to show in the examples?
Відповідь
(B)
All possible outputs of a logic circuit for every input combination.
