Computer Science for IGCSE & O level - Boolean Logic (Section 3)
1
Which of the following is an application of logic gates?
отговор
(D)
All of the above
2
In digital circuits, what does 'HIGH' voltage typically represent?
отговор
(B)
1
3
Which of the following best describes the operation of a NAND gate?
отговор
(A)
An AND gate followed by a NOT gate.
4
In the engine management system example, which combination of conditions would *NOT* trigger the warning light to activate?
отговор
(B)
Motor speed = 2500 rpm, bearing temperature = 85°C, water velocity = 6 m/s
5
What is the simplified expression for (A + B)' using DeMorgan's Theorem?
отговор
(B)
A' * B'
6
Which of the following statements best describes the purpose of a logic gate?
отговор
(B)
To combine one or more inputs to produce an output based on a specific rule.
7
Based on the image, which Boolean expression matches the following truth table:
| A | B | Output |
|---|---|--------|
| 0 | 0 | 0 |
| 0 | 1 | 1 |
| 1 | 0 | 1 |
| 1 | 1 | 0 |
отговор
(C)
A XOR B
8
What is the output of the logic expression A . 1?
отговор
(C)
A
9
Which gate is used to determine the sum of two binary digits?
отговор
(C)
XOR gate
10
What is the purpose of a truth table when designing a logic circuit?
отговор
(A)
To test and confirm the intended logic of the circuit.
11
What is the relationship between the inputs and the output in a NOT gate?
отговор
(B)
The output is the inverse of the input
12
If the output of a logic gate is always 1, regardless of the input, what type of logic gate is it?
отговор
(D)
None of the above
13
If A = 1, what is the value of A'?
отговор
(A)
0
14
What operation does the OR gate perform in Boolean algebra?
отговор
(B)
Logical addition
15
What is the role of a logic expression in the context of circuit design?
отговор
(B)
To represent the circuit's operation using mathematical notation.
16
Which of the following statements is true about the XOR gate?
отговор
(C)
Output is HIGH if inputs are different
17
If the input to an AND gate are A=1 and B=0, what will be the output?
отговор
(A)
0
18
In the engine management system example, the output Y is '1' under specific conditions. If the motor speed = 3000 rpm and bearing temperature is 90°C, and water velocity is 5 m/s, what is the output?
отговор
(B)
0
19
In the engine management system, what would be the output (Y) if: Motor speed = 3000 rpm, Bearing Temperature = 75°C, Water velocity = 5 m/s?
отговор
(B)
1
20
If a circuit is meant to turn on an output when either input A or input B is true, what type of gate would most likely be utilized?
отговор
(B)
OR gate
21
What is the main advantage of using NAND gates in building logic circuits?
отговор
(B)
They can be used to construct all other basic logic gates.
22
What does the XOR gate's output represent?
отговор
(B)
The logical difference between the inputs.
23
What does the '¬' symbol represent in Boolean algebra?
отговор
(C)
NOT
24
Which gate is referred to as 'Inverter'?
отговор
(C)
NOT gate
25
What does the term 'logic level' refer to in digital electronics?
отговор
(B)
The voltage of a signal
26
Which of the following Boolean expression is equivalent to the NAND gate?
отговор
(B)
(A . B)'
27
What is the main advantage of using a truth table to assist in circuit design, based on the given examples?
отговор
(B)
It helps verify the correctness of the circuit by defining all outputs.
28
What does a NOT gate do?
отговор
(A)
Inverts the input
29
What type of operation is represented by (A AND B)'?
отговор
(A)
NAND
30
In the context of logic circuits, what is a truth table used for?
отговор
(C)
To show the outputs of a logic circuit for different input combinations.
31
What is the inverse of the AND gate?
отговор
(B)
NAND gate
32
What is the output of the logic expression: A . 0?
отговор
(A)
0
33
Which of the following options represents the NOT operation?
отговор
A
B
C
34
In the context of Boolean algebra, the OR operation can be best described as:
отговор
(B)
Only the output is 1 when any one or both inputs are 1
35
A logic circuit has three inputs: A, B, and C. The output is high (1) if and only if A and B are both high. Which logic gate would you need, along with another gate or two?
отговор
(A)
AND
36
What is the name of the gate which gives the inverted output of an OR gate?
отговор
(C)
NOR gate
37
What is the purpose of a truth table in digital logic?
отговор
(B)
To show the possible outputs of a logic gate for all possible input combinations.
38
What is the output of an AND gate if input A is 1 and input B is 0?
отговор
(A)
0
39
What is the output of a NAND gate if both inputs are 1?
отговор
(A)
0
40
How can we express NOT (A AND B) in Boolean algebra?
отговор
(C)
A' + B'
41
Which of the following logic gates is represented by the Boolean expression: Y = A + B?
отговор
(B)
OR
42
Which of the following are true about the use of NAND gates in building circuits?
отговор
A
B
C
43
How many inputs does an OR gate typically have?
отговор
(B)
2
44
Which of the following operations does an XOR gate perform?
отговор
A
D
45
Which of the following correctly describes the function of a half-adder circuit?
отговор
(B)
It adds two binary digits and produces a sum and a carry-out.
46
What type of gate inverts the input signal?
отговор
(C)
NOT
47
In the turbine example, what is the output of the system?
отговор
(C)
A binary value.
48
In the context of Boolean algebra, which operation is represented by the '+' symbol?
отговор
(B)
OR
49
In the turbine example, the value of K (the output) is determined by which condition?
отговор
(A)
Whether turbine speed is greater than 1000rpm and/or the bearing temperature is 80°C.
50
What is the relationship between the inputs and outputs of a logic circuit best described by?
