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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 circuit that takes a binary input and produces an output based on the specific input pattern. In other words, it converts a binary code into an output that represents a specific state or enables a particular output line.

In address decoding, digital decoders are commonly used in digital systems, such as microprocessors, microcontrollers, and memory devices, to enable or select specific memory locations or peripheral devices based on the address provided by the CPU (Central Processing Unit) or controller.

Here's how address decoding works using a digital decoder:

Address Input: When a CPU or controller initiates a memory access or I/O operation, it provides an address in binary format. The number of address lines depends on the size of the memory or devices being addressed. For example, if there are 16 address lines, the address can range from 0000000000000000 to 1111111111111111 (in binary) for a total of 2^16 (64K) addressable locations.

Decoder Function: The digital decoder receives the binary address as input and generates outputs based on the address pattern. Each output line of the decoder corresponds to a specific memory location or peripheral device.

Enable or Select: The decoder activates the output line corresponding to the address provided by the CPU or controller. This process is often referred to as "address decoding."

Memory or Device Selection: The selected output line from the decoder is then used to enable the specific memory location or peripheral device associated with that address. This allows the CPU or controller to read data from or write data to the chosen memory location or device.

The number of output lines in the digital decoder is determined by the total number of addressable locations or devices in the system. For example, if there are 16 address lines, the decoder will have 2^16 (64K) output lines.

Address decoding is essential in digital systems because it allows the CPU or controller to communicate with specific memory locations or peripheral devices efficiently. It enables the system to manage different components and their addresses, ensuring that data is read from and written to the correct locations.
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