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Implement the functions using a 2x4 and 1x2 decoder using the following arrangement shown. S(X,Y,Z) = E(0,2,3,7) C(x,Y,Z2)- Σ(1,4,5,6)

Implement the functions using a 2x4 and 1x2 decoder using the following arrangement shown. S(X,Y,Z) = E(0,2,3,7) C(x,Y,Z2)- Σ(1,4,5,6)

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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Hello can you make a truth table from this decoder

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Assignment: Implement the functions using a 2x4 and 1x2 decoder using the following arrangement shown. S(X,Y,Z) = E(0,2,3,7) C(x,Y,Z) - Σ(1,4,5,6) A. Do A (1x2) D1 En1 D2 A D3 (2x4) D. в Ds En2 Do A (1x2) Dr En3
Transcribed Image Text:Assignment: Implement the functions using a 2x4 and 1x2 decoder using the following arrangement shown. S(X,Y,Z) = E(0,2,3,7) C(x,Y,Z) - Σ(1,4,5,6) A. Do A (1x2) D1 En1 D2 A D3 (2x4) D. в Ds En2 Do A (1x2) Dr En3
Example. Implement the functions using one 2x4 and two 1x2 Decoder. s(X,Y,Z) = {(0,1,4,7) CIX,Y,2) = {(0,3,5,6) SOLUTION. x v z En1 o X'Yz 0 00 1 1 xvz 0 0 1 10 0 2 XYz 0 1 oo 3 X'Yz 0 1 10 10 XYz 10 0 o XYz 1 0 1o 1 100 En2 En3 1 0 4 1 5 1 6 XYZ' 1 XYZ 1 1 1 o 1 En1 = X'V'Z' + x'Y'Z En1 = X'Y(Z' +2) En1 = X'Y En2 = x'YZ' + X'YZ En3 = XY'Z' + XY'Z + XYZ' + XYZ En2 = X'Y(Z' + 2) En3 = XY'(Z' + Z) + XY(Z' + Z) En2 = X'Y En3 = XY' + XY En3 = X(Y + Y) En3 = X Equivalent Logic Diagram: (Implementation) X YZ A (1x2) Eni D. A (12) En2 D. B (24) D. En3
Transcribed Image Text:Example. Implement the functions using one 2x4 and two 1x2 Decoder. s(X,Y,Z) = {(0,1,4,7) CIX,Y,2) = {(0,3,5,6) SOLUTION. x v z En1 o X'Yz 0 00 1 1 xvz 0 0 1 10 0 2 XYz 0 1 oo 3 X'Yz 0 1 10 10 XYz 10 0 o XYz 1 0 1o 1 100 En2 En3 1 0 4 1 5 1 6 XYZ' 1 XYZ 1 1 1 o 1 En1 = X'V'Z' + x'Y'Z En1 = X'Y(Z' +2) En1 = X'Y En2 = x'YZ' + X'YZ En3 = XY'Z' + XY'Z + XYZ' + XYZ En2 = X'Y(Z' + 2) En3 = XY'(Z' + Z) + XY(Z' + Z) En2 = X'Y En3 = XY' + XY En3 = X(Y + Y) En3 = X Equivalent Logic Diagram: (Implementation) X YZ A (1x2) Eni D. A (12) En2 D. B (24) D. En3
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