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What is a digital decoder and how is it used in address decoding?

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A digital decoder is a combinational logic circuit that takes an n-bit input and produces a unique m-bit output based on the combination of inputs. The number of output lines is typically 2^m for an m-bit decoder, and each output line corresponds to a specific input combination. In other words, it converts a binary code into an output signal on one of its output lines, where only one output is active for a particular input code.

Digital decoders are commonly used in various applications, such as address decoding in digital systems, memory interfacing, and control circuitry.

Address decoding is an essential process in digital systems, especially when interfacing with memory or peripheral devices. It involves selecting specific devices or memory locations based on the address provided by the microprocessor or controller. A digital decoder is often used in address decoding to enable or select a specific memory or device based on the address lines.

Let's take an example of a 3-to-8 line decoder to illustrate address decoding:

Input: A2, A1, A0 (3-bit address lines)
Output: Y0, Y1, Y2, Y3, Y4, Y5, Y6, Y7 (8 output lines)

The 3-bit input represents an address in binary format (e.g., A2A1A0 = 101), and the corresponding output line (e.g., Y5) is activated based on this address. Only one output line will be active (high logic level) at a time, depending on the specific address input.

Address decoding enables the microprocessor or controller to communicate with specific memory locations or devices connected to it. By decoding the address, the digital system can enable the appropriate memory chip or peripheral, allowing data transfer or control signals to be directed to the desired location.

Overall, digital decoders play a crucial role in address decoding and other applications where the translation of binary codes into specific output signals is required.
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