Consider the following combinational function block involving four Boolean variables x, y, a, b where x, a, b are inputs and y is the output.f (x, y, a, b)( if (x is 1) y = a; else y = b;}Which one of the following digital logic blocks is the most suitable for implementing this function?
Question
Consider the following combinational function block involving four Boolean variables x, y, a, b where x, a, b are inputs and y is the output.f (x, y, a, b)( if (x is 1) y = a; else y = b;}Which one of the following digital logic blocks is the most suitable for implementing this function?
Solution
The most suitable digital logic block for implementing this function is a Multiplexer (MUX).
Here's why:
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A multiplexer is a combinational circuit that selects binary information from one of many input lines and directs it to a single output line. The selection of a particular input line is controlled by a set of selection lines.
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In the given function, the output 'y' is either 'a' or 'b' depending on the value of 'x'. This is exactly what a multiplexer does.
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If we consider 'x' as the selection line, 'a' and 'b' as the input lines, and 'y' as the output line, the function can be implemented.
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When 'x' is 1, 'a' is selected and when 'x' is 0, 'b' is selected. This is the same operation performed by a 2-to-1 multiplexer.
So, a Multiplexer is the most suitable digital logic block for implementing this function.
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