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Why do Boolean functions play a central role in hardware architectures?
Describe Composite Gates.
Describe Multiplexor’s and Demultiplexor’s? What is the importance of the use of the selection
bit and the data bits?
Solution
In electronics, a multiplexer (or mux) is a device that selects one of several analog or digital
input signals and forwards the selected input into a single line. A multiplexer of 2n inputs has n
select lines, which are used to select which input line to send to the output.Multiplexers are
mainly used to increase the amount of data that can be sent over the network within a certain
amount of time and bandwidth. A multiplexer is also called a data selector. Multiplexers can also
be used to implement Boolean functions of multiple variables.
An electronic multiplexer makes it possible for several signals to share one device or resource,
for example one A/D converter or one communication line, instead of having one device per
input signal.
Conversely, a demultiplexer (or demux) is a device taking a single input signal and selecting one
of many data-output-lines, which is connected to the single input. A multiplexer is often used
with a complementary demultiplexer on the receiving end.
An electronic multiplexer can be considered as a multiple-input, single-output switch, and a
demultiplexer as a single-input, multiple-output switch.The schematic symbol for a multiplexer
is an isosceles trapezoid with the longer parallel side containing the input pins and the short
parallel side containing the output pin.The schematic on the right shows a 2-to-1 multiplexer on
the left and an equivalent switch on the right. The wire connects the desired input to the output.

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Why do Boolean functions play a central role in hardware architectur.pdf

  • 1. Why do Boolean functions play a central role in hardware architectures? Describe Composite Gates. Describe Multiplexor’s and Demultiplexor’s? What is the importance of the use of the selection bit and the data bits? Solution In electronics, a multiplexer (or mux) is a device that selects one of several analog or digital input signals and forwards the selected input into a single line. A multiplexer of 2n inputs has n select lines, which are used to select which input line to send to the output.Multiplexers are mainly used to increase the amount of data that can be sent over the network within a certain amount of time and bandwidth. A multiplexer is also called a data selector. Multiplexers can also be used to implement Boolean functions of multiple variables. An electronic multiplexer makes it possible for several signals to share one device or resource, for example one A/D converter or one communication line, instead of having one device per input signal. Conversely, a demultiplexer (or demux) is a device taking a single input signal and selecting one of many data-output-lines, which is connected to the single input. A multiplexer is often used with a complementary demultiplexer on the receiving end. An electronic multiplexer can be considered as a multiple-input, single-output switch, and a demultiplexer as a single-input, multiple-output switch.The schematic symbol for a multiplexer is an isosceles trapezoid with the longer parallel side containing the input pins and the short parallel side containing the output pin.The schematic on the right shows a 2-to-1 multiplexer on the left and an equivalent switch on the right. The wire connects the desired input to the output.