What can be implemented by using a 3/8 decoder?

This decoder can be used for decoding any 3-bit code to provide eight outputs, corresponding to eight different combinations of the input code. This is also called a 1 of 8 decoder, since only one of eight output lines is HIGH for a particular input combination.

How would you implement a Boolean expression using decoder?

So a decoder followed by an OR gate is enough to build a Boolean expression . A decoder with a,b as inputs and 2 outputs of decoder I.e., 2nd and 3rd connected to OR gate would give f function . A 3*8 decoder can be implemented using 2 2*4 decoder with one of input be enable for the 2 decoders .

How do you implement a 3/8 decoder Adder?

The A, B and Cin inputs are applied to 3:8 decoder as an input. ii. The outputs of decoder m1, m2, m4 and m7 are applied to OR gate as shown in figure to obtain the sum output.

What is decoder function?

A decoder is a device that generates the original signal as output from the coded input signal and converts n lines of input into 2n lines of output. An AND gate can be used as the basic decoding element because it produces a high output only when all inputs are high.

What is the Boolean expression representing F?

Practicing the following questions will help you test your knowledge.

How do you make an 8 to 1 multiplexer?

To implement the 8×1 multiplexer, we need two 8×1 multiplexers and one 2×1 multiplexer. The 8×1 multiplexer has 3 selection lines, 4 inputs, and 1 output. The 2×1 multiplexer has only 1 selection line. For getting 16 data inputs, we need two 8 ×1 multiplexers.

Can decoders be used for implementing functions?

Thus, a Decoder can be used to implement a function of n variables simply by connecting the outputs of the Decoder that correspond to the minterms of a function to a multi-input OR gate. Consider the Decoder circuit shown in Figure 7 which implements two separate functions of three variables.

What is meant by decoder explain 3 to 8 line decoder with diagram and truth table?

This decoder circuit gives 8 logic outputs for 3 inputs and has a enable pin. The circuit is designed with AND and NAND logic gates. It takes 3 binary inputs and activates one of the eight outputs. 3 to 8 line decoder circuit is also called a binary to an octal decoder.

How to implement a Boolean expression using a 3*8 decoder?

So a decoder followed by an OR gate is enough to build a Boolean expression . A decoder with a,b as inputs and 2 outputs of decoder I.e., 2nd and 3rd connected to OR gate would give f function . A 3*8 decoder can be implemented using 2 2*4 decoder with one of input be enable for the 2 decoders .

How to implement the Boolean expression f(A B B C) = ∑ M?

Implement the boolean expression F (A, B, C) = ∑ m (0, 2, 5, 6) using 4 : 1 multiplexer. In the given boolean expression, there are 3 variables. We should use 2 3 : 1 = 8 : 1 multiplexer. But as per the question, it is to be implemented with 4 : 1 mux. For 4 : 1 multiplexer, there should be 2 selection lines.

How do you implement a Boolean function with 3 input variables?

Implementation for 3 Input Variables. Implement the Boolean function by using basic logic gates. F = (A + B + C) . (A + B +C) . (A + B + C) In the given Boolean Function, we have two compliment terms, A and B. So, to represent the compliment input, we are using the NOT gates at the input side. And to represent the sum term, we use OR gates.

How to implement the Boolean function using NAND logic gates?

Implement the Boolean function by using a NAND logic gate. F (A, B, C, D, E) = A + (B’ + C) (D’ + BE’) In NAND gate implementation, we use NAND gates at both input and output side. Observe the designed logic diagram below. The step by step procedure to implement the given Boolean function using NAND gates is shown below.