Question

Design a Decoder Circuit that can convert a 4-bit Binary Number to a Hexadecimal Output.

Answer 1

• The Binary Decoder is another combinable logic circuit made from individual logic gates and is that the precise opposite to it of an “Encoder” we have a tendency to check.   
• The name “Decoder” suggests that to translate or decrypt coded info from one format into another, thus a digital decoder transforms a collection of digital input signals into the same decimal code at its output.
• Binary Decoders square measure another kind of digital logic device that has inputs of 2-bit, 3-bit or 4-bit codes relying upon the amount of information input lines, thus a decoder that includes a set of 2 or additional bits are going to be outlined as having AN n-bit code, and so it'll be attainable to represent 2n attainable values.
• Thus, a decoder usually decodes a binary price into a non-binary one by setting specifically one in every of its n outputs to logic “1”.
• If a binary decoder receives n inputs it activates one and only 1 of its 2n outputs supported that input with all alternative outputs deactivated.
• A decoder may be a circuit that changes a code into a collection of signals. It’s referred to as a decoder as a result of it will the reverse of secret writing, however we are going to begin our study of encoders and decoders with decoders as a result of their less complicated to style.