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Many times on a large scale digital system, a single line carries two or more different digital signals. This is true that only one signal can be placed at a time on the line. Hence, we need a device that allows us to select the signal we want to place on the line at different instances. Such circuit is known as a Multiplexer. A Multiplexer selects the input on any one of ‘n’ input lines and feeds this input to one output line. Multiplexers reduce the number of integrated circuit packages required by a particular circuit design thereby reducing the cost of the system.
Let us assume we have four lines, C0, C1, C2 and C3, (The four input lines are known as the Data Inputs) which are to be multiplexed on a single line, Output (f). As we have four inputs, we need two additional inputs to the multiplexer, known as the Select Inputs, to select which of the C inputs will appear at the output. We call these select lines A and B.
The circuit symbol for the above multiplexer is:
The gate implementation of a 4-line to 1-line multiplexer is shown below:
Consider the function:
Expanding to standard sum of products form:
The resulting multiplexer implementation is:
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