Computer Science for IGCSE & O level - Boolean Logic (Section 5)
1
If A = 1, B = 0, and C = 1. What would be the output for the expression: Y = (A AND B) OR C ?
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(B)
1
2
What is the result of (1 + 0) in Boolean algebra?
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(B)
1
3
Which of the following logic expressions is represented by the given logic circuit (refer to the images)?
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(B)
(NOT A AND B) OR (NOT C OR (A AND B))
4
The XNOR gate can be thought of as a combination of which two basic gates?
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(C)
XOR and NOT
5
Which of the following is a universal gate?
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(C)
NAND gate
6
What is the output of a NOR gate if both inputs are 0?
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(B)
1
7
Which of the following are the inputs of the NAND gate?
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(A)
A and B
8
What is the main objective in using a logic expression?
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(B)
To create an alternative method for representing a logic circuit and verify its correctness.
9
In a half-adder circuit, what are the two outputs?
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(C)
Sum and Carry
10
What is the result of the logic operation 1 OR 1?
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(B)
1
11
Which logic gate(s) can produce an output of 0 given inputs of 1 and 1?
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A
C
D
12
If the inputs to a NAND gate are A=1 and B=0, what will be the output?
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(B)
1
13
Which of these Boolean expression represents the XOR operation?
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(C)
A XOR B
14
If A = 1 and B = 0, then what will be the output of a NAND gate?
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(B)
1
15
Which of the following is NOT a fundamental logic gate?
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(D)
XNOR
16
Which of the following operations represents the logical *AND*?
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(B)
A . B
17
What is the output of a two-input NAND gate when the inputs are 1 and 0, respectively?
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(B)
1
18
Which gate has the following truth table: A B | Output: 0 0 | 1, 0 1 | 0, 1 0 | 0, 1 1 | 0?
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(D)
NOR
19
Which of the following correctly describes the behavior of an OR gate?
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(B)
The output is high (1) if at least one of the inputs is high.
20
Which logic gate outputs a high signal (1) if and only if its inputs are different (one is 0 and the other is 1)?
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(B)
XOR gate
21
What does the 'Karnaugh map' help with in Boolean algebra?
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(A)
Simplifying logical expressions
22
What is the complement of a variable A in boolean algebra denoted by?
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(B)
A'
23
What are the main components of a Full-adder?
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(A)
Two half-adders and an OR gate.
24
Based on the examples, what is the most common format used to represent logic operations and circuit functions?
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(D)
Truth tables
25
In a logic circuit, if the output is high (1) when any of the input conditions A, B, or C are present, which type of logic gate is used to achieve this?
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(B)
OR gate
26
Which gate acts as an inverter?
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(C)
NOT gate
27
Which logic gate requires all its inputs to be HIGH for a HIGH output?
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(B)
AND
28
If the output of a logic gate is 1 only when both inputs are 1, what type of gate is it?
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(B)
AND gate
29
What is the role of a 'circuit diagram'?
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(C)
To graphically depict the arrangement of logic gates and their connections.
30
Which of the following statements correctly describes the behavior of a NAND gate?
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(C)
The output is 0 only when all inputs are 1
31
What is the primary function of a logic gate?
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(C)
To implement Boolean algebra functions.
32
What is the simplest logic gate that performs the function of summing two binary digits and producing a sum and a carry?
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(B)
Half Adder
33
Which logic gate is considered an 'inverter'?
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(C)
NOT
34
What is typically the first step in designing a logic circuit, as presented in the examples?
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(C)
Create a truth table.
35
Which gate would be suitable for a circuit to check if two bits are equal?
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(C)
XNOR
36
What is the simplified expression for the logic circuit A.0?
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(B)
0
37
In the examples, what is the key function of the 'NOT' gate?
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(B)
To invert the input signal.
38
In the examples, a logic expression is used to ____ the functionality of a logic circuit.
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(B)
mathematically represent
39
What is the primary function of a logic circuit?
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(C)
To make decisions based on input conditions.
40
What is the purpose of a truth table?
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A
B
41
In a digital circuit, what does a high voltage typically represent?
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(B)
1
42
Which of the following represents De Morgan's law?
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B
C
43
If input A=1 and input B=0, what will be the output of a NOR gate?
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(A)
0
44
In the context of the engine management system example, the output signal Y will be high when the motor speed is greater than 3000 rpm and the bearing temperature is <= 80C, or when the water velocity is > 4m/s. What type of gate is this essentially combining?
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(A)
An OR gate and an AND gate.
45
What is the function of a full adder?
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(B)
Add two binary digits including a carry-in
46
In a logic circuit, what does the term 'parameter' usually refer to?
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(B)
An input condition being monitored.
47
How is the final logic circuit constructed, as demonstrated in the examples?
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(B)
By combining intermediate logic circuits using AND and OR gates.
48
Which logic gate's output is HIGH (1) when either or both of its inputs are HIGH (1)?
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(B)
OR gate
49
Which gate is known as the NOT OR gate?
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(C)
NOR gate
50
Which gate's output is '1' only when all inputs are '0'?
