Digital Systems
Review
Truth Table
Logic
Karnaugh map
expression
diagram
Input : n
The Condition : 2n
Maximum 5 Inputs
✅\( Z(A,B,C) = A^{'}B^{'}C^{'}+ABC\)
at :::: \(m_{0},m_{7} ==> Z = 1\)
others ::::: \( ==> Z=0\)
Don't Care
✅ ممكن أحطها ب 0 او 1 على حسب اللى هيساعدنى فالإختصارات
Gats
AND (*)
NOT (')
OR (+)
XOR(⊕)
Combinational Circuit
Combinational circuit is a circuit in which we combine the different gates in the circuit, for example encoder, decoder, multiplexer and demultiplexer
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Full Adder
Half Adder
inputs = 2
outputs = 2
is designed to add two single bit binary number A and B
It can add two one-bit numbers A and B, and carry c
inputs = 3
outputs = 2
Multiplexers
Decoder
A decoder is a combinational circuit. It has n input and to a maximum \(m = 2n\) outputs
Encoder
Encoder is a combinational circuit which is designed to perform the inverse operation of the decoder. An encoder has n number of input lines and m number of output lines
Sequential Circuits
sequential circuit has memory so output can vary based on input. This type of circuits uses previous input, output, clock and a memory element
