Let's explore the fundamental building blocks of digital logic - the basic logic gates.The AND gate is our first basic logic gate. It only outputs 1 when both inputs are 1.As we can see in the truth table, the AND gate only produces a 1 output when both inputs A and B are 1. In all other cases, the output is 0.Next, let's look at the OR gate. It outputs 1 when at least one input is 1.The OR gate's truth table shows that it outputs 1 whenever either input A or input B is 1, or when both are 1.Finally, we have the NOT gate, also called an inverter. It simply reverses the input value.The NOT gate's truth table is the simplest: it turns 0 to 1, and 1 to 0.Combinational circuits are built by connecting multiple logic gates together.In this example, we have a circuit with three inputs: A, B, and C.The output depends only on the current input values, not on any previous states.Let's see how signals flow through the circuit.The behavior of any combinational circuit can be completely described using a truth table.Each row in the truth table shows the output for a specific combination of inputs.With three inputs, we need eight rows to show all possible combinations.The output column shows the result of processing these inputs through our logic gates.Let's examine a half adder circuit, which adds two binary digits.The XOR gate produces the sum, while the AND gate generates the carry output.Here's the truth table showing all possible combinations of inputs and their corresponding outputs.Now let's look at a binary comparator circuit, which compares two binary numbers.The XNOR gate outputs 1 when both inputs are the same, indicating equality.The OR gate combines the results to indicate when the inputs are not equal.These fundamental circuits are essential building blocks in modern computer systems, used in arithmetic logic units, memory systems, and digital signal processing.
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