WorksheetsBoolean Algebra Quiz
Total questions: 27
Worksheet time: 14mins
What is the binary equivalent of the decimal number 25?
11001
10110
10011
11101
Which of the following is NOT a valid hexadecimal digit?
A
G
F
9
What is the octal equivalent of the binary number 110110?
32
66
54
56
Which base is used in the hexadecimal number system?
2
8
10
16
According to De Morgan's Theorem, what is the complement of (A + B)?
A' + B'
A . B
A' . B'
A + B'
Which Boolean law states that A + 0 = A?
Idempotent Law
Domination Law
Identity Law
Complement Law
What is the result of A + A'?
0
1
A
A'
Which law is represented by A . (B + C) = A . B + A . C?
Associative Law
Distributive Law
Absorption Law
Idempotent Law
Which logic gate outputs HIGH only if all inputs are HIGH?
OR
AND
NAND
XOR
The output of an XOR gate is HIGH when:
Both inputs are HIGH
Both inputs are LOW
Inputs are different
Inputs are the same
What is the complement of an AND gate?
OR gate
NOR gate
NAND gate
XOR gate
Which logic gate has an output of LOW when at least one input is HIGH?
NOR
AND
NAND
OR
Which gate can be used to implement any Boolean function?
AND
OR
NOR
XOR
In which form is a Boolean expression represented in the Sum of Product (SOP) method?
AND of OR terms
OR of AND terms
XOR of AND terms
NOR of OR terms
Which of the following is an example of SOP?
(A + B) . (A + C)
AB + AC
A + BC
A . (B + C)
What is the primary advantage of SOP over other forms?
Requires fewer gates
Easier to simplify
Directly implementable using AND-OR logic
Requires fewer logic levels
In Product of Sum (POS), a Boolean function is expressed as:
OR of AND terms
AND of OR terms
XOR of AND terms
NOR of AND terms
Which of the following is an example of POS?
(A + B) . (A + C)
AB + AC
A + BC
(A . B) + (A . C)
What is the decimal equivalent of the binary number 10101?
19
20
21
22
How many bits are required to represent the decimal number 31 in binary?
4
5
6
7
Which of the following is a valid representation of 15 in hexadecimal?
F
E
1F
0F
What is the binary equivalent of the hexadecimal number 3A?
111010
110110
00111010
110011
Which Boolean law is represented by the equation A + A = A?
Idempotent Law
Absorption Law
Identity Law
Associative Law
What is the complement of the Boolean expression A . (A + B)?
A + B
A' + B'
A'
A' . B'
The Absorption Law states that:
A + A . B = A
A + A' = 1
A + 0 = A
A . A' = 0
What is the result of (A + B)' using De Morgan's theorem?
A' . B'
A' + B'
A + B
A . B
The Boolean expression for a NOR gate with inputs A and B is:
A + B
(A + B)'
A . B
(A . B)'
