{"id":7961,"date":"2022-05-25T17:36:38","date_gmt":"2022-05-25T12:06:38","guid":{"rendered":"https:\/\/www.goseeko.com\/blog\/?p=7961"},"modified":"2026-04-22T05:49:08","modified_gmt":"2026-04-22T00:19:08","slug":"what-is-decoder","status":"publish","type":"post","link":"https:\/\/www.goseeko.com\/blog\/what-is-decoder\/","title":{"rendered":"What is Decoder?"},"content":{"rendered":"\n

Decoders are combinational circuits that convert binary data into 2N output lines. The binary data is sent via N input lines. On the output lines, the binary data<\/a> is encoded in a 2N-bit code.<\/p>\n\n\n\n

2 to 4 line decoder:<\/strong><\/h2>\n\n\n\n

Three inputs (A0, A1, and E) and four outputs make up the two to four line decoder (Y0, Y1, Y2, and Y3). When the enable ‘E’ is set to 1, one of these four outputs will be 1 for each combination of inputs. The block diagram and truth table for the 2 to 4 line decoder are presents below.<\/p>\n\n\n\n

Block Diagram<\/strong><\/p>\n\n\n\n

<\/p>\n\n\n\n

Truth table<\/strong><\/p>\n\n\n\n

The Boolean functions for each output from the Truth table can written as follows:<\/p>\n\n\n

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\"Decoder<\/figure><\/div>\n\n\n

The terms Y0, Y0, Y2, and Y3 are logically express as follows:<\/p>\n\n\n\n

Y3=E.A1.A0<\/p>\n\n\n\n

Y2=E.A1.A0′<\/p>\n\n\n\n

Y1=E.A1′.A0<\/p>\n\n\n\n

Y0=E.A1′.A0′<\/p>\n\n\n\n

Circuit Diagram<\/strong><\/p>\n\n\n\n

The following is the logical circuit for the above expressions:<\/p>\n\n\n\n

<\/p>\n\n\n\n

3 to 8 line Decoder<\/strong><\/h2>\n\n\n\n

Binary to Octal Decoder is another name for the 3 to 8 line decoder. A 3 to 8 line decoder has eight outputs, including Y0, Y1, Y2, Y3, Y4, Y5, Y6, and Y7, as well as three outputs, A0, A1, and A2. In this circuit, the enable input ‘E’ is utilize. When enable ‘E’ is set to 1, one of these four outputs will be 1, just like a two-to-four-line decoder. The block diagram and truth table for the 2 to 4 line decoder are presented below.<\/p>\n\n\n\n

Block Diagram<\/strong><\/p>\n\n\n

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\"\"<\/figure><\/div>\n\n\n

Truth Table<\/p>\n\n\n

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\"\"<\/figure><\/div>\n\n\n

A logical formulation for the terms D0, D1, D2, D3, D4, D5, D6, and D7 is as follows:<\/p>\n\n\n\n

D0=A0′.A1′.A2′<\/p>\n\n\n\n

D1=A0.A1′.A2′<\/p>\n\n\n\n

D2=A0′.A1.A2′<\/p>\n\n\n\n

D3=A0.A1.A2′<\/p>\n\n\n\n

D4=A0′.A1′.A2<\/p>\n\n\n\n

D5=A0.A1′.A2<\/p>\n\n\n\n

D6=A0′.A1.A2<\/p>\n\n\n\n

D7=A0.A1.A2<\/p>\n\n\n\n

Circuit Diagram<\/strong><\/p>\n\n\n\n

The following is a logical circuit:<\/p>\n\n\n\n

<\/p>\n\n\n\n

Application <\/strong><\/h2>\n\n\n\n