1: Digital Circuits

Basics of the Digital Circuit

Analog signals can be found everywhere in nature, but digital signals are man- made.

1: Digital Circuits

Boolean Algebra

1: Digital Circuits

Example

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Logic Gate NOT

Logic Gate AND

Logic Gate OR

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Logic Gate XOR

Let's see examples with lamp circuits.

1: Digital Circuits

The lamp will glow when both of its two input terminals are at different logic levels with respect to each other.

If the outputs of the logic gates OR,

Logic Gate NAND

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Logic Gate NOR

Logic Gate XNOR

Logical operations and expressions

1: Digital Circuits

When drawing a logic circuit for a function, it is important to start from the outputs and continue to the inputs. Let's look at the following example:

1: Digital Circuits

Now we will look at how the function Y = (A + B) ⋅ (A + C) is designed with logic gates and how we can simplify it to Y = (A + B ⋅ C) to save gates.

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What is the main difference between digital and electrical circuits?

Which logic gate outputs 1 only when it has different inputs (e.g. A = 0 and B = 1).

Match the items in the first column with those in the second.

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Identify the names of these logic gates and complete the truth table, then write the Boolean expression for each of these logic gates and the Boolean Algebra relationship between the entries

1: Digital Circuits

Use the function Y = A ⋅ B + A ⋅ B to draw the circuit from the output to the inputs.

Use Boolean Algebra to convert the function Y = A ⋅ [B + C ⋅ (D + E)] its simplest form.

Convert the function Y = A ⋅ (B + C) to a sum of least terms and draw a truth table.

1: Digital Circuits

Write the Boolean expression for each logic gate represented by the logic diagram below, using symbols.