Worksheet: Combinations of Logic Gates

In this worksheet, we will practice determining the output of logic circuits that consist of combinations of different types of logic gates.

Q1:

The diagram shows a logic circuit consisting of multiple logic gates. All of the logic gates are AND gates.

How many different possible combinations of inputs are there for this circuit?

How many of the possible combinations of inputs to this circuit produce an output of 0?

How many of the possible combinations of inputs to this circuit produce an output of 1?

Q2:

The diagram shows a logic circuit consisting of multiple logic gates. The table shows the output for some of the different possible combinations of inputs.

Input AInput BInput CInput DOutput
0000𝑝
0110𝑞
1011𝑟
1101𝑠

What is the value of 𝑝 in the table?

What is the value of 𝑞 in the table?

What is the value of 𝑟 in the table?

What is the value of 𝑠 in the table?

Q3:

Input AInput BInput CInput DOutput
0000𝑝
0001𝑞
0011𝑟
01000
0110𝑠
01111

The diagram shows a logic circuit consisting of multiple logic gates. The table shows the output for some of the different possible combinations of inputs.

What is the value of 𝑝 in the table?

What is the value of 𝑞 in the table?

What is the value of 𝑟 in the table?

What is the value of 𝑠 in the table?

Q4:

The diagram shows a logic circuit consisting of multiple logic gates.

How many different possible combinations of inputs are there for this circuit?

How many of the possible combinations of inputs to this circuit produce an output of 0?

How many of the possible combinations of inputs to this circuit produce an output of 1?

Q5:

The diagram shows a logic circuit consisting of multiple logic gates. The table shows the output for some of the different possible combinations of inputs.

Input AInput BInput CInput DOutput
0000𝑝
0011𝑞
01001
0111𝑟
10001
1011𝑠
11001
11110

What is the value of 𝑝 in the table?

What is the value of 𝑞 in the table?

What is the value of 𝑟 in the table?

What is the value of 𝑠 in the table?

Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.