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?
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(D)
NOR
2
What are the inputs to a half-adder circuit?
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(A)
Two binary digits
3
How many inputs does a two-input AND gate have?
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(B)
Two
4
In a logic gate, what does a 'high' signal typically represent?
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(B)
1
5
What is the simplified form of (A + 0) in Boolean algebra?
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(A)
A
6
What is the purpose of a carry bit in binary addition?
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(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?
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(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?
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(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?
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(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?
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(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)?
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(A)
NOT A AND NOT B
12
In Boolean algebra, what does the '.' symbol represent?
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(B)
AND
13
Which of the following gates is the result of inverting the output of an OR gate?
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(C)
NOR gate
14
Which gate is the inverse of an OR gate?
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(C)
NOR gate
15
What is the purpose of a circuit diagram?
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(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?
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(B)
NOR
17
What would be the next step after writing down a logic expression from a truth table?
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(A)
To create a logic circuit based on the logic expression.
18
In the context of Boolean algebra, what does '1' typically represent?
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(C)
True
19
Which logic gate's output is the inverse of the output of an AND gate?
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(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?
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(B)
AND gate
21
What is the output of a NOT gate if the input is 1?
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(A)
0
22
What is the complement of the Boolean expression A.B?
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(A)
A' + B'
23
What is the output of a 2-input AND gate if the inputs are 1 and 1?
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(B)
1
24
What is the term for a number system based on two digits (0 and 1)?
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(C)
Binary
25
What is the result of the expression NOT (A AND B) when A=1 and B=0?
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(B)
1
26
How many inputs and outputs does a full adder have?
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(C)
3 inputs, 2 outputs
27
In digital circuits, what does the term 'high' often represent?
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(B)
1
28
What is the output of an OR gate if both inputs A and B are 1?
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(B)
1
29
How are the three parameters related in the wood system example?
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(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?
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(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?
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(C)
A binary 1
32
If all input conditions are not met, what will be the output value in many of the scenarios described?
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(A)
0
33
How does the number of possible output states increase with each additional input in a logic gate?
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(A)
It doubles
34
Which gate yields an output of 0 if *any* of its inputs are 1?
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(D)
NOR
35
In the expression Y = (A AND B) OR C, which operation is performed LAST?
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(B)
OR
36
What is the result of the Boolean expression 0 + 1?
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(B)
1
37
Which of the following is the Boolean expression for a NAND gate?
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(D)
(A . B)'
38
What does the term 'logic' refer to in the context of logic circuits?
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(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?
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(D)
NOT (A OR B)
40
What is the function of the logic gates?
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(C)
To process binary data
41
What is the role of sensors in the logic circuit (exam-style)?
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(B)
To convert real-world conditions into electrical signals for the input.
42
What is used to verify the correctness of the logic circuit?
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(B)
The truth table.
43
What is the function of a 'full adder' circuit?
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(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?
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(A)
A
45
The output of an AND gate is 0 if:
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A
B
46
A certain logic gate always gives the output 1 if the inputs are different. Which gate is this?
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(B)
XOR gate
47
What is an appropriate approach for the design of a circuit?
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(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?
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(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?
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(B)
1
50
What is a truth table mainly designed to show in the examples?
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(B)
All possible outputs of a logic circuit for every input combination.
