Computer Science for IGCSE & O level - Boolean Logic (Section 1)
1
Which logic gate provides the inverse of the output from an AND gate?
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(B)
NAND gate
2
What is the result of the expression (A AND B) OR (NOT A AND NOT B) in the provided image?
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(D)
A XNOR B
3
Which gate's output is 0 only when both of its inputs are 1?
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(A)
AND gate
4
Which of the following are considered universal gates?
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C
D
5
Which of the following logic gates implements the Boolean expression: Y = A ⋅ B ?
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(B)
AND
6
If A = 0 and B = 1, what is the output of an XOR gate?
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(B)
1
7
Which gate is often used for binary addition?
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(C)
XOR
8
Which type of logic gate implements the Boolean expression A AND B?
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(A)
AND gate
9
Which operation is the inverse of the OR operation?
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(B)
NOR
10
What does the acronym 'RPM' stand for in the context of the engine management system example?
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(A)
Revolutions Per Minute
11
In Boolean algebra, what is the meaning of A * B (or A AND B)?
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(B)
A and B
12
Which of the following logic circuits represents the given Boolean expression: Y = A OR (B AND C)?
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(A)
A circuit with an AND gate, whose inputs are B and C. And the output of this gate is fed in an OR gate along with A.
13
What is the result of A + 1 in Boolean algebra?
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(C)
1
14
What does 'binary value' refer to in the context of logic circuits?
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(A)
A value that can be either a 0 or a 1.
15
Which of the following is equivalent to (A')' ?
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(A)
A
16
How many truth table rows are required for a 3-input logic gate?
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(D)
8
17
Which gate produces an output of '1' if and only if both inputs are '1'?
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(B)
AND
18
What does the term 'digital logic' refer to?
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(B)
The use of discrete voltage levels to represent information
19
If the output is 1 for A=0, B=1, and C=0, which of the following Boolean expressions could represent the corresponding logic circuit?
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(B)
(NOT A AND B) OR (NOT C)
20
In the context of logic circuits, what does 'binary' refer to?
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(B)
A number system with a base of 2
21
In a logic circuit designed to monitor the output of an engine management system, the output signal will go high (1) if either the exhaust temperature exceeds 400°C AND the air pressure is greater than 10 bar OR the water temperature is greater than 100°C.
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(D)
The output signal will be high if the exhaust temperature exceeds 400°C and the air pressure is greater than 10 bar or the water temperature is greater than 100°C.
22
What are the outputs of a 2 input XOR gate when inputs are '0, 0', '0, 1', '1, 0' and '1, 1' respectively?
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(A)
0, 1, 1, 0
23
What is the output of a XOR gate when the inputs are both the same?
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(A)
0
24
What is the effect of a NOT gate on an input signal?
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(B)
It complements the input signal (inverts it).
25
Which logic gate is represented by the expression (A + B)'?
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(B)
NOR
26
Given the following Boolean expression: Y = (A AND B) OR (NOT C). Which of the following logic circuits would correctly implement it?
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(B)
A circuit with three inputs A, B and C, where A and B are AND'd, and C is NOT'd, and the two results are OR'd.
27
Which gate provides the logical product operation?
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(A)
AND gate
28
In a digital circuit, what is the most common system for representing logic states?
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(B)
Binary
29
What does the term 'intermediate' refer to when discussing truth tables and circuit design?
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(B)
Results within the truth table used to develop the final output.
30
What is the output of an XOR gate if both inputs are 0?
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(A)
0
31
Which gate combines the inputs to produce an output if all inputs are true?
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(B)
AND
32
Which gate is equivalent to an AND gate followed by a NOT gate?
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(B)
NAND gate
33
What is the output of a NOR gate with inputs A=1 and B=1?
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(A)
0
34
Based on the truth table for a half-adder, if the inputs are A=1 and B=1, what are the values of the sum and carry outputs?
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(C)
Sum = 0, Carry = 1
35
What is the role of an OR gate?
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(C)
To output 1 when at least one input is 1.
36
Consider the engine management system scenario (Task 2). If the exhaust temperature is 400°C, air pressure is 11 bar and water velocity is 5 m/s, will the output (Y) be 1?
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(A)
Yes
37
Which gate's output is high only when all the inputs are low?
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(B)
NOR
38
What happens to the output of an AND gate if one of the inputs is permanently connected to '0'?
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(A)
Output is always 0
39
Which of the following is the correct symbol of the NOT gate?
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(B)
A triangle pointing to the right with a circle
40
What is the output of a NOT gate if the input is 1?
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(A)
0
41
What is the function of the 'carry' output in a full adder circuit?
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(A)
To indicate if a sum overflows.
42
Which is the logical expression for a NOR gate?
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(B)
¬ (A + B)
43
Which of the following gates is known as the 'exclusive OR' gate?
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(C)
XOR
44
Which logic gate is also known as an inverter?
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(C)
NOT
45
If A = 0 and B = 1, then what is the output of an OR gate?
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(B)
1
46
Which gate outputs a '1' only if the inputs are different?
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(C)
XOR
47
Based on the examples, what are the possible outputs in the circuits shown?
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(B)
0 and 1
48
Which logic gate's output is LOW only when all inputs are HIGH?
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(C)
NAND
49
What is the role of an OR gate in the examples shown?
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(C)
It outputs 1 if at least one input is 1.
50
What is the output of a two-input AND gate if both inputs are 0?
