Explain the functioning of a 38 decoder. You should draw its truth table and explain its logic diagram with the help of an example input
A 3×8 decoder is a combinational logic circuit used to decode a 3-bit binary input into one of eight output lines, each corresponding to a unique combination of the 3 input bits. The decoder has three input lines and eight output lines. The primary function of the 3×8 decoder is to activate exactly one of its output lines for each possible combination of the 3-bit input. In simple terms, for every combination of three input bits, the decoder selects one of the eight outputs, setting it high (1) while all others remain low (0).
Truth Table
The truth table for a 3×8 decoder shows the relationship between the 3 input bits (denoted as A, B, and C) and the 8 output lines (denoted as Y0, Y1, Y2, ..., Y7). The table is structured as follows:
| A | B | C | Y0 | Y1 | Y2 | Y3 | Y4 | Y5 | Y6 | Y7 |
|---|---|---|---|---|---|---|---|---|---|---|
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 |
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 |
| 0 | 1 | _______ _________ ____ ___ ___.