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Boolean Algebra

Total questions: 19

Worksheet time: 17mins

Name
Class
Date
1.

Which of the following is true?

a)

A Boolean data type has only two values: A and B

b)

A Boolean data type has only two values: yes and no

c)

A Boolean data type has only two values: true and false

d)

A Boolean data type has only two values: 1 and 0

2.

Which of the following Boolean statements is true?

a)

x > y will give the result false when the value of x is greater than the value of y

b)

x > y will give the result true when the value of x is greater than the value of y

c)

x > y will give the result true when the value of x is less than the value of y

d)

x > y will give the result false when the value of x is less than the value of y

3.

Which one of the following circuits is NOT equivalent to a 2-input XNOR (exclusive NOR) gate?

a)
b)
c)
d)
4.

What is the minimum number of gates required to implement the Boolean function (AB+C) if we have to use only 2-input NOR gates?

a)

2

b)

3

c)

4

d)

5

5.

Which of the following are logic gates?

a)

OR

b)

NOT

c)

XOR

d)

AND

6.

With four signal inputs, how many possible outputs are there?

a)

16

b)

24

c)

4

d)

8

7.

What is the purpose of logic gates?

a)

To allow an electronic system to make a decision based on its outputs

b)

To allow an electronic system to make a decision based on its inputs

c)

To allow a program to make a decision based on its inputs

d)

To allow a program to make a decision based on its outputs only

8.

What is the Boolean Expression of an OR gate?

(a)  

9.

What gate outputs 1 if and only if at least one input is 1?

(a)  

10.

What is the output of an EX-NOR gate?

a)

(AB' + A'B)'

b)

(AB + A'B')

c)

A'B + AB'

d)

(AB + AB)''

11.

What gate can test odd parity?

(a)  

12.

Which gate only has an output of 1 if both inputs are 1?

a)

OR

b)

NAND

c)

AND

d)

NOR

13.

An equivalent representation for the Boolean expression A' + 1 is (a)  

14.

XOR gates can be made from ______________

a)

All NAND gates

b)

All NOR gates

c)

All NOT gates

d)

AND, OR and NOT gates

15.

In boolean algebra, which operation does putting a bar above a letter represent?

a)

NOT

b)

AND

c)

OR

d)

None of the above

16.

Convert the hexadecimal A to binary

(a)  

17.

Select the best definition of a literal

a)

A Boolean variable

b)

The complement of a Boolean variable

c)

1 or 2

d)

The actual understanding of a Boolean variable

18.

Which of the following relationships represents the dual of the Boolean property x + x'y = x + y?

a)

x'(x + y') = x'y'

b)

x(x'y) = xy

c)

x'(xy') = x'y'

d)

x(x' + y) = xy

19.

Simplification of the Boolean expression (A + B)'(C + D + E)' + (A + B)' yields which of the following results?

a)

A + B

b)

A'B'

c)

C + D + E

d)

C'D'E'