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Digital Electronics
Combinational Circuits
Dr. G.S.Virdi
Former Chief Scientist
CSIR-Central Electronics Engineering Research Institue-Pilani
India
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Todays Thought
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Combinational Logic Circuits
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K-Map
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K-Map
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Logic Diagram G.S. Virdi
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ADDERS
1.Half Adder
2.Full Adder
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Thus in half adder the output obtained from the EX-OR gate
is the sum of the two numbers while that obtained by AND
gate is the carry. There will be no forwarding of carry addition
because there is no logic gate to process that. Thus, this is
called the Half Adder circuit.
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Thus the Full Adder is the circuit that consists of two EX-
OR gates, two AND gates, and one OR gate. Full Adder is the
adder that adds three inputs and produces two outputs
which consist of two EX-OR gates, two AND gates, and one
OR gate. The first two inputs are A and B and the third input
is an input carry as C-IN. The output carry is designated as
C-OUT and the normal output is designated as S which is
SUM
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Difference between the Half adder and full adder:
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SUBTRACTORS
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SUBTRACTORS
1. Half Subtractor
2. Full Subtractor
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Half Subtractor
The half subtractor is also a building block for subtracting two binary
numbers. It has two inputs and two outputs. This circuit is used to subtract
two single bit binary numbers A and B. The 'diff' and 'borrow are two
output states of the half subtractor.
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The Half Subtractor is used to subtract only two numbers. To overcome
this problem, a full subtractor was designed. The full subtractor is used to
subtract three 1-bit numbers A, B, and C, which are minuend, subtrahend,
and borrow, respectively. The full subtractor has three input states and two
output states i.e., diff and borrow.
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BCD Adder
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Decimal or BCD Adder
The BCD-Adder is used in the computers and the calculators that perform
arithmetic operation directly in the decimal number system. The BCD-Adder
accepts the binary-coded form of decimal numbers. The Decimal-Adder requires a
minimum of nine inputs and five outputs.
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Magnitude Comparator
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Multiplexer and DeMultipluxer
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 Multiplexer refers to a type of combinational circuit that
accepts multiple inputs of data but provides only a single
output.
The demultiplexer refers to the type of combinational circuit
that accepts just a single input but directs it through multiple
outputs
Multiplexer and De Multipluxer
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Multiplexer
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De Multipluxer
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4 X 1 Multiplexer
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De Multipluxer
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Encoders and Decoders
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Encoder and Decoder?
The encoder is a device or a transducer or a circuit. The encoder will convert the
information from one format to another format i.e like electrical signals to counters or
a PLC. The feedback signal of the encoder will determine the position, count, speed,
and direction. The control devices are used to send the command to a particular
function.
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The decoder is a circuit used to change the code into a set of signals. The
name its self tells the decoder because it has the reverse of encoding.
The decoders are very simple to design.
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Design 3 x 8 Decode
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Seven Segment Display Decode
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