What is Combonational Logic Circuit ?
Combinational Logic Circuit āĻšāϞ āĻāĻ āϧāϰāύā§āϰ āĻĄāĻŋāĻāĻŋāĻāĻžāϞ āϏāĻžāϰā§āĻāĻŋāĻ āϝāĻžāϤ⧠NAND, NOR, or NOT basic logic āĻā§āĻ āĻā§āϞāĻŋ āĻĨāĻžāĻā§, āϝā§āĻā§āϞ⧠āĻāĻŽāύāĻāĻžāĻŦā§ āϏāĻāϝā§āĻā§āϤ āĻĨāĻžāĻā§ āϝ⧠āϤāĻžāϰāĻž āϤāĻžāĻĻā§āϰ āĻāύāĻĒā§āĻ āĻŽāĻžāύā§āϰ āϏāĻŽāύā§āĻŦāϝāĻŧā§āϰ āĻāĻŋāϤā§āϤāĻŋāϤ⧠āύāĻŋāϰā§āĻĻāĻŋāώā§āĻ āĻāĻāĻāĻĒā§āĻ āϤā§āϰāĻŋ āĻāϰā§āĨ¤ āĻāĻ āϏāĻžāϰā§āĻāĻŋāĻāĻā§āϞāĻŋāϤ⧠āĻā§āύāĻ āĻŽā§āĻŽāϰāĻŋ āĻāĻĒāĻžāĻĻāĻžāύ āύā§āĻ, āϝāĻžāϰ āĻŽāĻžāύ⧠āĻāĻāĻāĻĒā§āĻ āĻļā§āϧā§āĻŽāĻžāϤā§āϰ āĻŦāϰā§āϤāĻŽāĻžāύ āĻāύāĻĒā§āĻ āĻŽāĻžāύāĻā§āϞāĻŋāϰ āĻāĻĒāϰ āύāĻŋāϰā§āĻāϰ āĻāϰā§āĨ¤[Combinational Logic Circuit is a type of digital circuit that consists of NAND, NOR, or NOT logic gates, which are connected in such a way that they produce specific outputs based on the combination of their input values. These circuits do not have any memory elements, which means that the output depends solely on the current input values.]
characteristics of Combinational Logic circuit
āĻŦāĻŋāĻāĻŋāύā§āύ āϧāϰāύā§āϰ āĻāĻŽā§āĻŦāĻŋāύā§āĻļāύāĻžāϞ āϞāĻāĻŋāĻ āϏāĻžāϰā§āĻāĻŋāĻ āϰāϝāĻŧā§āĻā§, āϝā§āĻŽāύ Adder,Substractor,Multiplexer,Demultiplexer,Decoder, EncoderāĨ¤
- āϝā§āĻā§āύ⧠āĻŽā§āĻšā§āϰā§āϤā§, āĻāĻŽā§āĻŦāĻŋāύā§āĻļāύāĻžāϞ āϏāĻžāϰā§āĻāĻŋāĻā§āϰ āĻāĻāĻāĻĒā§āĻ āĻļā§āϧā§āĻŽāĻžāϤā§āϰ āĻŦāϰā§āϤāĻŽāĻžāύ āĻāύāĻĒā§āĻ āĻāĻžāϰā§āĻŽāĻŋāύāĻžāϞā§āϰ āĻāĻĒāϰ āύāĻŋāϰā§āĻāϰ āĻāϰā§āĨ¤
- āĻāĻŽā§āĻŦāĻŋāύā§āĻļāύāĻžāϞ āϏāĻžāϰā§āĻāĻŋāĻā§āϰ āĻā§āύ⧠āĻŦā§āϝāĻžāĻāĻāĻĒ āĻŦāĻž āĻĒā§āϰā§āĻŦāĻŦāϰā§āϤ⧠āĻŽā§āĻŽāϰāĻŋ āύā§āĻāĨ¤ āϏāĻžāϰā§āĻāĻŋāĻā§āϰ āĻŦāϰā§āϤāĻŽāĻžāύ āĻ āĻŦāϏā§āĻĨāĻž āĻāύāĻĒā§āĻā§āϰ āĻĒā§āϰā§āĻŦāĻŦāϰā§āϤ⧠āĻ āĻŦāϏā§āĻĨāĻž āĻĻā§āĻŦāĻžāϰāĻž āĻĒā§āϰāĻāĻžāĻŦāĻŋāϤ āĻšāϝāĻŧ āύāĻžāĨ¤
- āĻāĻŽā§āĻŦāĻŋāύā§āĻļāύāĻžāϞ āϞāĻāĻŋāĻ āϏāĻžāϰā§āĻāĻŋāĻā§ āĻāύāĻĒā§āĻā§āϰ x āϏāĻāĻā§āϝāĻž āĻāĻŦāĻ āĻāĻāĻāĻĒā§āĻā§āϰ y āϏāĻāĻā§āϝāĻž āϏāĻŽā§āĻāĻŦāĨ¤

What is Adder ?
āĻ ā§āϝāĻžāĻĄāĻžāϰ ( Adder )āĻšāϞ āĻāĻāĻāĻŋ āĻĄāĻŋāĻāĻŋāĻāĻžāϞ āϏāĻžāϰā§āĻāĻŋāĻ āϝāĻž āĻĻā§āĻāĻŋ āĻŦāĻžāĻāύāĻžāϰāĻŋ āϏāĻāĻā§āϝāĻž āϝā§āĻ āĻāϰā§āĨ¤ āĻŦāĻŋāĻāĻŋāύā§āύ āϧāϰāύā§āϰ āĻ ā§āϝāĻžāĻĄāĻžāϰ āϰāϝāĻŧā§āĻā§, āϝā§āĻŽāύ āĻšāĻžāĻĢ āĻ ā§āϝāĻžāĻĄāĻžāϰ, āĻĢā§āϞ āĻ ā§āϝāĻžāĻĄāĻžāϰ āĻāĻŦāĻ āϰāĻŋāĻĒāϞ āĻā§āϝāĻžāϰāĻŋ āĻ ā§āϝāĻžāĻĄāĻžāϰāĨ¤ āĻāĻāĻžāύ⧠āĻšāĻžāĻĢ āĻ ā§āϝāĻžāĻĄāĻžāϰ āĻāĻŦāĻ āĻĢā§āϞ āĻ ā§āϝāĻžāĻĄāĻžāϰ āϏāĻŽā§āĻĒāϰā§āĻā§ āĻāϞā§āĻāύāĻž āĻāϰāĻž āĻšāϞ [Adder in Digital Electronics is a digital circuit that performs the addition of two binary numbers. There are different types of adders, such as Half Adder, Full Adder, and Ripple Carry Adder. Half Adder and full adder are discussed here .]
Half Adder
Digital Electronics āĻ āĻšāĻžāĻĢ āĻ ā§āϝāĻžāĻĄāĻžāϰ (Half Adder) āĻšāϞ āĻāĻāĻāĻŋ āĻĄāĻŋāĻāĻŋāĻāĻžāϞ āϏāĻžāϰā§āĻāĻŋāĻ āϝāĻž āĻĻā§āĻāĻŋ āĻāĻāĻ āĻŦāĻžāĻāύāĻžāϰāĻŋ āϏāĻāĻā§āϝāĻžāϰ āϝā§āĻ āĻāϰāϤ⧠āĻĒāĻžāϰ⧠āĻāĻŦāĻ āĻāĻāĻāĻŋ āĻāĻāĻāĻĒā§āĻ Sum āĻāĻŦāĻ āĻ āĻĒāϰ āĻāĻāĻāĻĒā§āĻ Carry āĻā§āĻĒāύā§āύ āĻšāϝāĻŧāĨ¤ āĻāĻāĻŋ āĻĻā§āĻāĻŋ āĻāύāĻĒā§āĻ āĻāĻžāϰā§āĻŽāĻŋāύāĻžāϞ āĻāĻŦāĻ āĻĻā§āĻāĻŋ āĻāĻāĻāĻĒā§āĻ āĻāĻžāϰā§āĻŽāĻŋāύāĻžāϞ āύāĻŋāϝāĻŧā§ āĻāĻ āĻŋāϤāĨ¤ āĻāĻāĻāĻĒā§āĻ Sum āĻšāϞ āĻāύāĻĒā§āĻāĻā§āϞāĻŋāϰ XOR, āĻāĻŦāĻ āĻāĻāĻāĻĒā§āĻ carry āĻšāϞ āĻĒā§āϰāĻĨāĻŽ āĻāĻŦāĻ āĻĻā§āĻŦāĻŋāϤā§āϝāĻŧ āĻāύāĻĒā§āĻā§āϰ AND āĻ āĻĒāĻžāϰā§āĻļāĻžāύāĨ¤ [Half Adder is a digital circuit that can add two single binary digits and produce a Sum and carry output. It consists of two input terminals and two output terminals. The Sum output is the XOR of the inputs, and the Carry output is AND Opreration of first and the second input.]


Full Adder
Digital Electronics āĻ Full Adder āĻšāϞ āĻāĻāĻāĻŋ āĻĄāĻŋāĻāĻŋāĻāĻžāϞ āϏāĻžāϰā§āĻāĻŋāĻ āϝāĻž āĻĻā§āĻāĻŋ āĻŦāĻžāĻāύāĻžāϰāĻŋ āĻĄāĻŋāĻāĻŋāĻ āĻāĻŦāĻ āĻāĻāĻāĻŋ āĻā§āϝāĻžāϰāĻŋ āĻāύāĻĒā§āĻ āϝā§āĻ āĻāϰāϤ⧠āĻĒāĻžāϰ⧠āĻāĻŦāĻ āĻāĻāĻāĻŋ āϝā§āĻāĻĢāϞ āĻāĻŦāĻ āĻā§āϝāĻžāϰāĻŋ āĻāĻāĻāĻĒā§āĻ āϤā§āϰāĻŋ āĻāϰāϤ⧠āĻĒāĻžāϰā§āĨ¤ āĻāĻāĻŋ āϤāĻŋāύāĻāĻŋ āĻāύāĻĒā§āĻ āĻāĻžāϰā§āĻŽāĻŋāύāĻžāϞ āĻāĻŦāĻ āĻĻā§āĻāĻŋ āĻāĻāĻāĻĒā§āĻ āĻāĻžāϰā§āĻŽāĻŋāύāĻžāϞ āύāĻŋāϝāĻŧā§ āĻāĻ āĻŋāϤāĨ¤ āϝā§āĻāĻĢāϞ āĻāĻāĻāĻĒā§āĻ āĻšāϞ āĻāύāĻĒā§āĻ āĻāĻŦāĻ āĻā§āϝāĻžāϰāĻŋ āĻāύāĻĒā§āĻā§āϰ XOR āĻāĻŦāĻ āĻā§āϝāĻžāϰāĻŋ āĻāĻāĻāĻĒā§āĻ āĻšāϞ āĻāύāĻĒā§āĻ āĻāĻŦāĻ āĻā§āϝāĻžāϰāĻŋ āĻāύāĻĒā§āĻā§āϰ ORāĨ¤ [Full Adder is a digital circuit that can add two binary digits and a carry input and produce a sum and carry output. It consists of three input terminals and two output terminals. The sum output is the XOR of the inputs and the carry input, and the carry output is the OR of the inputs and the carry input.]


Substractor
Digital Electronics āĻ āϏāĻžāĻŦāĻā§āϰā§āϝāĻžāĻā§āĻāϰ( Substractor) āĻšāϞ āĻāĻāĻāĻŋ āĻĄāĻŋāĻāĻŋāĻāĻžāϞ āϏāĻžāϰā§āĻāĻŋāĻ āϝāĻž āĻĻā§āĻāĻŋ āĻŦāĻžāĻāύāĻžāϰāĻŋ āϏāĻāĻā§āϝāĻžāϰ āĻŦāĻŋāϝāĻŧā§āĻ āϏāĻŽā§āĻĒāĻžāĻĻāύ āĻāϰā§āĨ¤ āĻŦāĻŋāĻāĻŋāύā§āύ āϧāϰāĻŖā§āϰ āĻŦāĻŋāϝāĻŧā§āĻāĻāĻžāϰ⧠āϰāϝāĻŧā§āĻā§, āϝā§āĻŽāύ āĻšāĻžāĻĢ āϏāĻžāĻŦāĻā§āϰā§āϝāĻžāĻā§āĻāϰ, āĻĢā§āϞ āϏāĻžāĻŦāĻā§āϰā§āϝāĻžāĻā§āĻāϰ āĻāĻŦāĻ āĻŦā§āϰ⧠āĻŦā§āϰ⧠āϏāĻžāĻŦāĻā§āϰā§āϝāĻžāĻā§āĻāϰ āĨ¤ [Subtractor is a digital circuit that performs the subtraction of two binary numbers. There are different types of subtractors, such as Half Subtractor, Full Subtractor, and Borrow Borrow Subtractor.]
Half Substractor
Digital Electronics āĻ āĻšāĻžāĻĢ āϏāĻžāĻŦāĻā§āϰā§āϝāĻžāĻā§āĻāϰ(Half Substractor) āĻšāϞ āĻāĻāĻāĻŋ āĻĄāĻŋāĻāĻŋāĻāĻžāϞ āϏāĻžāϰā§āĻāĻŋāĻ āϝāĻž āĻĻā§āĻāĻŋ āĻāĻāĻ āĻŦāĻžāĻāύāĻžāϰāĻŋ āϏāĻāĻā§āϝāĻž āĻŦāĻŋāϝāĻŧā§āĻ āĻāϰāϤ⧠āĻĒāĻžāϰ⧠āĻāĻŦāĻ āĻāĻāĻāĻŋ āĻāĻāĻāĻĒā§āĻ Difference āĻāĻŦāĻ āĻ āĻĒāϰ āĻāĻāĻāĻĒā§āĻ Borrow āĻā§āĻĒāύā§āύ āĻšāϝāĻŧāĨ¤ āĻāĻāĻŋ āĻĻā§āĻāĻŋ āĻāύāĻĒā§āĻ āĻāĻžāϰā§āĻŽāĻŋāύāĻžāϞ āĻāĻŦāĻ āĻĻā§āĻāĻŋ āĻāĻāĻāĻĒā§āĻ āĻāĻžāϰā§āĻŽāĻŋāύāĻžāϞ āύāĻŋāϝāĻŧā§ āĻāĻ āĻŋāϤāĨ¤ āĻāĻāĻāĻĒā§āĻ Difference āĻšāϞ āĻāύāĻĒā§āĻāĻā§āϞāĻŋāϰ XOR, āĻāĻŦāĻ āĻāĻāĻāĻĒā§āĻ Borrow āĻšāϞ āĻĒā§āϰāĻĨāĻŽ āĻāύāĻĒā§āĻā§āϰ NOT āĻāĻŦāĻ āĻĻā§āĻŦāĻŋāϤā§āϝāĻŧ āĻāύāĻĒā§āĻā§āϰ AND āĻ āĻĒāĻžāϰā§āĻļāĻžāύāĨ¤ [Half Subtractor is a digital circuit that can subtract two single binary digits and produce a difference and borrow output. It consists of two input terminals and two output terminals. The difference output is the XOR of the inputs, and the borrow output is the NOT of the first input AND the second input.]


Full Substractor ?
Digital Electronics āĻ āĻĢā§āϞ āϏāĻžāĻŦāĻā§āϰā§āϝāĻžāĻā§āĻāϰ (Full Substractor) āĻšāϞ āĻāĻāĻāĻŋ āĻĄāĻŋāĻāĻŋāĻāĻžāϞ āϏāĻžāϰā§āĻāĻŋāĻ āϝāĻž āĻĻā§āĻāĻŋ āĻŦāĻžāĻāύāĻžāϰāĻŋ āĻĄāĻŋāĻāĻŋāĻ āĻāĻŦāĻ āĻāĻāĻāĻŋ Borrow āĻāύāĻĒā§āĻ āĻŦāĻŋāϝāĻŧā§āĻ āĻāϰāϤ⧠āĻĒāĻžāϰ⧠āĻāĻŦāĻ āĻāĻāĻāĻŋ āĻāĻāĻāĻĒā§āĻ Difference āĻāĻŦāĻ āĻ āĻĒāϰ āĻāĻāĻāĻĒā§āĻ Borrow āĻā§āĻĒāύā§āύ āĻšāϝāĻŧāĨ¤ āĻāĻāĻŋ āϤāĻŋāύāĻāĻŋ āĻāύāĻĒā§āĻ āĻāĻžāϰā§āĻŽāĻŋāύāĻžāϞ āĻāĻŦāĻ āĻĻā§āĻāĻŋ āĻāĻāĻāĻĒā§āĻ āĻāĻžāϰā§āĻŽāĻŋāύāĻžāϞ āύāĻŋāϝāĻŧā§ āĻāĻ āĻŋāϤāĨ¤[Full Subtractor is a digital circuit that can subtract two binary digits and a borrow input and produce a difference and borrow output. It consists of three input terminals and two output terminals. ]


Multiplexer
āĻŽāĻžāϞā§āĻāĻŋāĻĒā§āϞā§āĻā§āϏāĻžāϰ āĻšāϞ āĻāĻāĻāĻŋ āĻĄāĻŋāĻāĻŋāĻāĻžāϞ āϏāĻžāϰā§āĻāĻŋāĻ āϝāĻž āĻ āύā§āĻ āĻāύāĻĒā§āĻ āϏāĻŋāĻāύā§āϝāĻžāϞā§āϰ āĻŽāϧā§āϝ⧠āĻāĻāĻāĻŋ āύāĻŋāϰā§āĻŦāĻžāĻāύ āĻāϰāϤ⧠āĻĒāĻžāϰ⧠āĻāĻŦāĻ āĻāĻāĻŋāĻā§ āĻāĻāĻāĻĒā§āĻā§ āĻĒā§āϰā§āϰāĻŖ āĻāϰāϤ⧠āĻĒāĻžāϰā§āĨ¤ āĻāĻāĻŋ āĻāĻāĻžāϧāĻŋāĻ āĻāύāĻĒā§āĻ āĻāĻžāϰā§āĻŽāĻŋāύāĻžāϞ, āĻāĻāĻāĻŋ āϏāĻŋāϞā§āĻā§āĻ āĻāύāĻĒā§āĻ āĻāĻžāϰā§āĻŽāĻŋāύāĻžāϞ āĻāĻŦāĻ āĻāĻāĻāĻŋ āĻāĻāĻāĻĒā§āĻ āĻāĻžāϰā§āĻŽāĻŋāύāĻžāϞ āύāĻŋāϝāĻŧā§ āĻāĻ āĻŋāϤāĨ¤ āϏāĻŋāϞā§āĻā§āĻ āĻāύāĻĒā§āĻ āύāĻŋāϰā§āϧāĻžāϰāĻŖ āĻāϰ⧠āĻā§āύ āĻāύāĻĒā§āĻ āϏāĻŋāĻāύā§āϝāĻžāϞāĻāĻŋ āĻāĻāĻāĻĒā§āĻā§ āϝāĻžāĻŦā§āĨ¤[Multiplexer is a digital circuit that can select one of many input signals and pass it through to the output. It consists of multiple input terminals, a select input terminal, and an output terminal. The select input determines which input signal is passed through to the output.]
Example: 4×1 MUX
4Ã1 āĻŽāĻžāϞā§āĻāĻŋāĻĒā§āϞā§āĻā§āϏāĻžāϰā§, āĻŽā§āĻ āĻāĻžāϰāĻāĻŋ āĻāύāĻĒā§āĻ āϰāϝāĻŧā§āĻā§, āϝā§āĻŽāύ, I0, I1, I2,, āĻāĻŦāĻ I3, 2āĻāĻŋ āύāĻŋāϰā§āĻŦāĻžāĻāύ āϞāĻžāĻāύ(Selection line), āϝā§āĻŽāύ, S0 āĻāĻŦāĻ S1 āĻāĻŦāĻ āĻāĻāĻ āĻāĻāĻāĻĒā§āĻ, āĻ āϰā§āĻĨāĻžā§, Y. āĻāϰ āϏāĻŽāύā§āĻŦāϝāĻŧā§āϰ āĻāĻŋāϤā§āϤāĻŋāϤ⧠āϝ⧠āĻāύāĻĒā§āĻāĻā§āϞāĻŋ āύāĻŋāϰā§āĻŦāĻžāĻāύ āϞāĻžāĻāύ S0 āĻāĻŦāĻ S1 āĻ āĻāĻĒāϏā§āĻĨāĻŋāϤ āĻĨāĻžāĻā§, āĻāĻ 4āĻāĻŋ āĻāύāĻĒā§āĻā§āϰ āĻŽāϧā§āϝ⧠āĻāĻāĻāĻŋ āĻāĻāĻāĻĒā§āĻā§āϰ āϏāĻžāĻĨā§ āϏāĻāϝā§āĻā§āϤ āĻĨāĻžāĻā§āĨ¤ 4Ã1 āĻŽāĻžāϞā§āĻāĻŋāĻĒā§āϞā§āĻā§āϏāĻžāϰā§āϰ āĻŦā§āϞāĻ āĻĄāĻžāϝāĻŧāĻžāĻā§āϰāĻžāĻŽ āĻāĻŦāĻ āϏāϤā§āϝ āϏāĻžāϰāĻŖā§ āύāĻŋāĻā§ āĻĻā§āĻāϝāĻŧāĻž āĻšāϞāĨ¤ [In the 4Ã1 multiplexer, there is a total of four inputs, i.e., I0, I1, I2, and I3, 2 selection lines, i.e., S0 and S1 and single output, i.e., Y. On the basis of the combination of inputs that are present at the selection lines S0 and S1 , one of these 4 inputs are connected to the output. The block diagram and the truth table of the 4Ã1 multiplexer are given below.]


āĻāĻĒāϰā§āϰ āϏāϤā§āϝ āϏāĻžāϰāĻŖā§ āĻ āύā§āϝāĻžāϝāĻŧā§ āĻāĻāĻāĻĒā§āĻ āĻāϰ āϞāĻāĻŋāĻ āĻāĻā§āϏāĻĒā§āϰā§āĻļāύ āĻšāϞ [According to above truth table logic exoression of output y is]- Y=S1′ S0′ I0+S1′ S0 I1+S1 S0′ I2+S1 S0 I3

Demultiplexer
Demultiplexer āĻšāϞ āĻāĻāĻāĻŋ āĻĄāĻŋāĻāĻŋāĻāĻžāϞ āϏāĻžāϰā§āĻāĻŋāĻ āϝāĻž āĻāĻāĻāĻŋ āĻāύāĻĒā§āĻ āϏāĻŋāĻāύā§āϝāĻžāϞ āύāĻŋāϤ⧠āĻĒāĻžāϰ⧠āĻāĻŦāĻ āĻāĻāĻžāϧāĻŋāĻ āĻāĻāĻāĻĒā§āĻ āϏāĻŋāĻāύā§āϝāĻžāϞ⧠āĻŦāĻŋāϤāϰāĻŖ āĻāϰāϤ⧠āĻĒāĻžāϰā§āĨ¤ āĻāĻāĻŋ āĻāĻāĻāĻŋ āĻāύāĻĒā§āĻ āĻāĻžāϰā§āĻŽāĻŋāύāĻžāϞ, āĻāĻāĻžāϧāĻŋāĻ āύāĻŋāϰā§āĻŦāĻžāĻāĻŋāϤ(select) āĻāύāĻĒā§āĻ āĻāĻžāϰā§āĻŽāĻŋāύāĻžāϞ āĻāĻŦāĻ āĻāĻāĻžāϧāĻŋāĻ āĻāĻāĻāĻĒā§āĻ āĻāĻžāϰā§āĻŽāĻŋāύāĻžāϞ āύāĻŋāϝāĻŧā§ āĻāĻ āĻŋāϤāĨ¤ āύāĻŋāϰā§āĻŦāĻžāĻāĻŋāϤ(select)āĻāύāĻĒā§āĻāĻā§āϞāĻŋ āύāĻŋāϰā§āϧāĻžāϰāĻŖ āĻāϰ⧠āϝ⧠āĻā§āύ āĻāĻāĻāĻĒā§āĻ āĻāĻžāϰā§āĻŽāĻŋāύāĻžāϞ⧠āĻāύāĻĒā§āĻ āϏāĻāĻā§āϤāĻāĻŋ āĻĒāĻžāϏ āĻāϰāĻž āĻšāϝāĻŧā§āĻā§āĨ¤[Demultiplexer is a digital circuit that can take one input signal and distribute it to multiple output signals. It consists of one input terminal, multiple select input terminals, and multiple output terminals. The select inputs determine which output terminal the input signal is passed through to.]
Exmaple: 1×4 DEMUX:
1×4 āĻĄāĻŋ-āĻŽāĻžāϞā§āĻāĻŋāĻĒā§āϞā§āĻā§āϏāĻžāϰā§, āĻŽā§āĻ āĻāĻžāϰāĻāĻŋ āĻāĻāĻāĻĒā§āĻ āϰāϝāĻŧā§āĻā§, āϝā§āĻŽāύ, D0, D1, D2, āĻāĻŦāĻ D3, 2āĻāĻŋ āύāĻŋāϰā§āĻŦāĻžāĻāύ āϞāĻžāĻāύ(selection line), āϝā§āĻŽāύ, S0 āĻāĻŦāĻ S1 āĻāĻŦāĻ āĻāĻāĻāĻŋ āĻāύāĻĒā§āĻ, āĻ āϰā§āĻĨāĻžā§, I. āĻāϰ āϏāĻŽāύā§āĻŦāϝāĻŧā§āϰ āĻāĻŋāϤā§āϤāĻŋāϤ⧠āϝ⧠āĻāύāĻĒā§āĻāĻā§āϞāĻŋ āύāĻŋāϰā§āĻŦāĻžāĻāύ āϞāĻžāĻāύ S0 āĻāĻŦāĻ S1 āĻ āĻāĻĒāϏā§āĻĨāĻŋāϤ āĻĨāĻžāĻā§, āĻāύāĻĒā§āĻāĻāĻŋ āĻāĻāĻāĻĒā§āĻā§āϰ āĻāĻāĻāĻŋāϰ āϏāĻžāĻĨā§ āϏāĻāϝā§āĻā§āϤ āĻĨāĻžāĻā§āĨ¤ 1Ã4 āĻŽāĻžāϞā§āĻāĻŋāĻĒā§āϞā§āĻā§āϏāĻžāϰā§āϰ āĻŦā§āϞāĻ āĻĄāĻžāϝāĻŧāĻžāĻā§āϰāĻžāĻŽ āĻāĻŦāĻ āϏāϤā§āϝ āϏāĻžāϰāĻŖā§ āύā§āĻā§ āĻĻā§āĻāϝāĻŧāĻž āĻšāϞāĨ¤


āĻāĻĒāϰā§āϰ āϏāϤā§āϝ āϏāĻžāϰāĻŖā§ āĻ āύā§āϝāĻžāϝāĻŧā§ āĻāĻāĻāĻĒā§āĻ āĻāϰ āϞāĻāĻŋāĻ āĻāĻā§āϏāĻĒā§āϰā§āĻļāύ āĻšāϞ [According to above truth table logic exoression of output is]-
D0=S0‘S1‘I
D1=S0 S1‘ I
D2=S0‘ S1 I
D3=S0 S1 I

Decoder & Decoding
āĻĄāĻŋāĻā§āĻĄāĻžāϰ āĻšāϞ āĻāĻāĻāĻŋ āĻĄāĻŋāĻāĻŋāĻāĻžāϞ āϏāĻžāϰā§āĻāĻŋāĻ āϝāĻž āĻāĻāĻāĻŋ āĻŦāĻžāĻāύāĻžāϰāĻŋ āĻāύāĻĒā§āĻ āύāĻŋāϤ⧠āĻĒāĻžāϰ⧠āĻāĻŦāĻ āĻāύāĻĒā§āĻ āĻŽāĻžāύā§āϰ āĻāĻĒāϰ āĻāĻŋāϤā§āϤāĻŋ āĻāϰ⧠āĻ āύā§āĻ āĻāĻāĻāĻĒā§āĻ āϏāĻāĻā§āϤā§āϰ āĻŽāϧā§āϝ⧠āĻāĻāĻāĻŋ āϏāĻāĻā§āϤ āĻā§ āϏāĻā§āϰāĻŋāϝāĻŧ āĻāϰāϤ⧠āĻĒāĻžāϰā§āĨ¤ āĻāĻāĻŋ āĻāĻāĻžāϧāĻŋāĻ āĻāύāĻĒā§āĻ āĻāĻžāϰā§āĻŽāĻŋāύāĻžāϞ āĻāĻŦāĻ āĻāĻāĻžāϧāĻŋāĻ āĻāĻāĻāĻĒā§āĻ āĻāĻžāϰā§āĻŽāĻŋāύāĻžāϞ āύāĻŋāϝāĻŧā§ āĻāĻ āĻŋāϤāĨ¤ āĻāύāĻĒā§āĻ āĻŽāĻžāύā§āϰ āϏāĻžāĻĨā§ āϏāĻŽā§āĻĒāϰā§āĻāĻŋāϤ āĻāĻāĻāĻĒā§āĻ āĻāĻžāϰā§āĻŽāĻŋāύāĻžāϞ āϏāĻā§āϰāĻŋāϝāĻŧ āĻšāϝāĻŧ, āĻ āύā§āϝ āϏāĻŽāϏā§āϤ āĻāĻāĻāĻĒā§āĻ āĻāĻžāϰā§āĻŽāĻŋāύāĻžāϞ āύāĻŋāώā§āĻā§āϰāĻŋāϝāĻŧ āĻĨāĻžāĻā§āĨ¤ [Decoder is a digital circuit that can take a binary input and activate one of many output signals based on the input value. It consists of multiple input terminals and multiple output terminals. The output terminal that corresponds to the input value is activated, while all other output terminals remain inactive.]
Example: 2×4 decoder
2×4 āϞāĻžāĻāύā§āϰ āĻĄāĻŋāĻā§āĻĄāĻžāϰā§, āĻŽā§āĻ āϤāĻŋāύāĻāĻŋ āĻāύāĻĒā§āĻ āϰāϝāĻŧā§āĻā§, āϝā§āĻŽāύ, I0, āĻāĻŦāĻ I1 āĻāĻŦāĻ E āĻāĻŦāĻ āĻāĻžāϰāĻāĻŋ āĻāĻāĻāĻĒā§āĻ, āϝā§āĻŽāύ, D0, D1, D2 āĻāĻŦāĻ D3āĨ¤ āĻāύāĻĒā§āĻāĻā§āϞāĻŋāϰ āĻĒā§āϰāϤāĻŋāĻāĻŋ āϏāĻāĻŽāĻŋāĻļā§āϰāĻŖā§āϰ āĻāύā§āϝ, āϝāĻāύ āϏāĻā§āώāĻŽ ‘E’ 1 āϤ⧠āϏā§āĻ āĻāϰāĻž āĻšāϝāĻŧ, āϤāĻāύ āĻāĻ āĻāĻžāϰāĻāĻŋ āĻāĻāĻāĻĒā§āĻā§āϰ āĻŽāϧā§āϝ⧠āĻāĻāĻāĻŋ āĻšāĻŦā§ 1āĨ¤ āĻŦā§āϞāĻ āĻĄāĻžāϝāĻŧāĻžāĻā§āϰāĻžāĻŽ āĻāĻŦāĻ 2 āĻĨā§āĻā§ 4 āϞāĻžāĻāύā§āϰ āĻĄāĻŋāĻā§āĻĄāĻžāϰā§āϰ āϏāϤā§āϝ āϏāĻžāϰāĻŖā§ āύā§āĻā§ āĻĻā§āĻāϝāĻŧāĻž āĻšāϝāĻŧā§āĻā§āĨ¤


āĻāĻĒāϰā§āϰ āϏāϤā§āϝ āϏāĻžāϰāĻŖā§ āĻ āύā§āϝāĻžāϝāĻŧā§ āĻāĻāĻāĻĒā§āĻ āĻāϰ āϞāĻāĻŋāĻ āĻāĻā§āϏāĻĒā§āϰā§āĻļāύ āĻšāϞ [According to above truth table logic exoression of output is]-
D3=E.I1.I0
D2=E.I1.I0‘
D1=E.I1‘.I0
D0=E.I1‘.I0‘

Encoder & Encoding
āĻāύāĻā§āĻĄāĻžāϰ āĻšāϞ āĻāĻāĻāĻŋ āĻĄāĻŋāĻāĻŋāĻāĻžāϞ āϏāĻžāϰā§āĻāĻŋāĻ āϝāĻž āĻāĻāĻžāϧāĻŋāĻ āĻāύāĻĒā§āĻ āϏāĻŋāĻāύā§āϝāĻžāϞ āύāĻŋāϤ⧠āĻĒāĻžāϰ⧠āĻāĻŦāĻ āϏā§āĻā§āϞāĻŋāĻā§ āĻāĻāĻ āĻŦāĻžāĻāύāĻžāϰāĻŋ āĻāĻāĻāĻĒā§āĻ āϏāĻŋāĻāύā§āϝāĻžāϞ⧠āϰā§āĻĒāĻžāύā§āϤāϰ āĻāϰāϤ⧠āĻĒāĻžāϰā§āĨ¤ āĻāĻāĻŋ āĻāĻāĻžāϧāĻŋāĻ āĻāύāĻĒā§āĻ āĻāĻžāϰā§āĻŽāĻŋāύāĻžāϞ āĻāĻŦāĻ āĻāĻāĻāĻŋ āĻāĻāĻ āĻāĻāĻāĻĒā§āĻ āĻāĻžāϰā§āĻŽāĻŋāύāĻžāϞ āύāĻŋāϝāĻŧā§ āĻāĻ āĻŋāϤāĨ¤ āĻāύāĻĒā§āĻ āϏāĻŋāĻāύā§āϝāĻžāϞā§āϰ āĻŦāĻžāĻāύāĻžāϰāĻŋ āĻŽāĻžāύ āĻāĻāĻāĻĒā§āĻ āϏāĻŋāĻāύā§āϝāĻžāϞā§āϰ āĻāύā§āϝ āĻāĻāĻāĻŋ āĻŦāĻžāĻāύāĻžāϰāĻŋ āĻŽāĻžāύ⧠āϰā§āĻĒāĻžāύā§āϤāϰāĻŋāϤ āĻšāϝāĻŧāĨ¤ [Encoder is a digital circuit that can take multiple input signals and convert them into a single binary output signal. It consists of multiple input terminals and a single output terminal. The binary value of the input signals is converted into a binary value for the output signal.]


āĻāĻĒāϰā§āϰ āϏāϤā§āϝ āϏāĻžāϰāĻŖā§ āĻ āύā§āϝāĻžāϝāĻŧā§ āĻāĻāĻāĻĒā§āĻ āĻāϰ āϞāĻāĻŋāĻ āĻāĻā§āϏāĻĒā§āϰā§āĻļāύ āĻšāϞ [According to above truth table logic exoression of output is]-
E2=I4+I5+I6+I7
E1=I2+i3+I6+I7
E0=I7+I5+I3+I1



