Digital Electronics

Digital Electronics

Multiple Choice

Let us review our boolean algebra from the previous contest. Simplify this expression.

• A

• B

• A + B

• AB

• NOT A

What are Digital Electronics?

Digital electronics are not too different from boolean algebra, however, instead of using operators and symbols, we use 'logic gates.'

These logic gates represent the various boolean operators, such as but not including, OR, NOT, and XOR.

The buffer gate takes in the input and simply outputs itself.

So, the output is simply the input.

Buffer
Gate

The not gate simply negates the output.

If A was 1, the output is 0.

Not

Gate

These slides are only there to see how the gates look.

Refer to the Boolean Algebra slides if you don't know what AND does.

And

Gate

Nand is the same as And but the output is negated.

Nand

Gate

These slides are only there to see how the gates look.

Refer to the Boolean Algebra slides if you don't know what OR does.

Or

Gate

Nor is the same as Or but the output is negated.

Nor

Gate

These slides are only there to see how the gates look.

Refer to the Boolean Algebra slides if you don't know what XOR does.

Xor

Gate

These slides are only there to see how the gates look.

Refer to the Boolean Algebra slides if you don't know what XNOR does.

Xnor

Gate

Example

Let us examine this example of a circuit.

We are asked to find out all values of

A, B, and C which make the output false.

A and B first go through a NAND gate,

which is simply . Then, and C go through an OR gate. So the boolean expression is simply: . I shall leave it to you to solve the above problem with your Boolean Algebra skills.

​NAND gate

OR

gate

Multiple Choice

Simplify the boolean expression which is equivalent to this digital electronics circuit.

• A

• B

• C

• 0

• 1

Multiple Choice

How many gates are in this circuit

How many values make this digital circuit true?

• 4

• 3

• 2

• 1

• 0