Question

In: Computer Science

determine the number of high outputs for a 4 x 16 decoder with active low outputs

determine the number of high outputs for a 4 x 16 decoder with active low outputs

Solutions

Expert Solution

Circuit Design of 4 to 16 Decoder Using 3 to 8 Decoder

By adding two or more smaller combination circuits, a decoder circuit of the higher combination is obtained. From two 3 to 8 decoder circuits or three 2 to 4 decoder circuits, a 4 to 16 decoder circuit is obtained.

The permissible pin serves as the input for both decoders while two 3 to 8 decoder circuits are merged. If the pin is high at one 3 to 8 decoder circuits, then at another 3 to 8 decoder circuit, it is low.

Truth Table

E A B C Y0 Y1 Y2 Y3 Y4 Y5 Y6 Y7 Y8 Y9 Y10 Y11 Y12 Y13 Y14 Y15
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1
0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0
0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0
0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0
0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0
0 1 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0
0 1 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0
0 1 1 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0
1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0
1 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0
1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0
1 0 1 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0
1 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0
1 1 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0
1 1 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

Circuit Diagram of 4 to 16 Decoder

venereology answered 4 months ago
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