Chapter 07 - Multilevel Logic-2x2(1)

Bcd and or x1 x2 xn x1 x2xn 7 11 a bc

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Unformatted text preview: m to several other two-level forms: F = A + BC′ + B′CD = [(A + BC′ + B′CD)′ ]′ AND-OR (X1 + X2 + … + Xn)′ = X1′ X2′…Xn′ (7-11) = [A′ • (BC′)′ • (B′CD)′]′ NAND-NAND (X1 X2…Xn)′ = X1′ + X2′ + … + Xn′ (7-12) = [A′ • (B′ + C) • (B + C′ + D′)]′ OR-NAND = A + (B′ + C)′ + (B + C′ + D′)′ NOR-OR Section 7.3 (p. 197) Section 7.3 (p. 197) Design of Two-Level NOR-Gate Circuits If we want a two-level circuit containing only NOR gates, we should start with the minimum product-of-sums form for F instead of the minimum sum-of-products. After obtaining the minimum product-of-sums from a Karnaugh map, F can be written in the following twolevel forms: F = (A + B + C)(A + B′ + C′)(A + C′ + D) OR-AND = {[(A + B + C)(A + B′ + C′)(A + C′ + D)]′ }′ Figure 7-11a: Eight Basic Forms for Two-Level Circuits = [(A + B + C)′ + (A + B′ + C...
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