Karnaugh maps

This diagram shows the logic circuit for a half adder.

Complete the truth table for this half adder circuit.

Describe the difference between a half adder circuit and a full adder circuit.

This Karnaugh map represents a different logic circuit.

Use this Karnaugh map to find the simplified expression for this circuit.

You should annotate the Karnaugh map to show the groups that you have used to find the simplified expression.

Write your simplified expression here.

A computer scientist has created the following logic circuit shown in Fig. 6.

Give the Boolean expression that represents the logic circuit shown in Fig. 6. Do not attempt to simplify the expression.

Complete the truth table for the logic circuit shown in Fig. 6.

The following Karnaugh map represents another logic circuit.

Use this Karnaugh map to find the simplified expression for this circuit.

You should highlight the map as appropriate and write the expression here.

Use the Karnaugh map to find a simplified Boolean expression that is equivalent to (¬ A ¬ B) (A ¬ B)

State the purpose of a D-type flip-flop circuit.

Describe the inputs and outputs used by a D-type flip-flop circuit, explaining how the inputs are used to control the outputs.

Draw a logic gate diagram to represent the Boolean expression

Q ≡ ¬A∨B

A half adder has the truth table shown below:

Draw a half adder using logic gates.

Draw the logic gates represented by the Karnaugh Map below. Show your working.