Find the complement of the functions F; and F, of Example 2.2 by taking their duals and complementing each literal. 1. F; = x'y;' + x'y'z. The dual of F; is (x' + y + z')(r' + y' + z). %3D Complement each literal:(x + y' + 2)(x + y + z') = Fj. %3D 2. F; = x(y' + yx). The dual of F, is x + (y' + z')(y + ). Complement each literal: x' + (y + 2)(y' + z') = F3.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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EXAMPLE 2.3
Find the complement of the functions F; and F, of Example 2.2 by taking their duals
and complementing each literal.
1. F = x'yz' + x'y'z.
The dual of F, is (x' + y + z')(x' + y' + z).
Complement each literal: (x +y' + z)(x + y + z') = F}.
%3D
%3D
2. F; = x(y'?' + yz).
The dual of F, is x + (y' + z')(y + 2).
Complement each literal: x' + (y + 2)(y' + z') = F}.
Transcribed Image Text:EXAMPLE 2.3 Find the complement of the functions F; and F, of Example 2.2 by taking their duals and complementing each literal. 1. F = x'yz' + x'y'z. The dual of F, is (x' + y + z')(x' + y' + z). Complement each literal: (x +y' + z)(x + y + z') = F}. %3D %3D 2. F; = x(y'?' + yz). The dual of F, is x + (y' + z')(y + 2). Complement each literal: x' + (y + 2)(y' + z') = F}.
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