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Book Edition: 9th EditionFormat: Hardcover[PDF]Digital Electronics A Practical Approach with VHDL https files pearsoned de/ps/ext/0499 712 ISBN 978-1-29202-561-2 Digital Electronics A Practical Approach with VHDL William Kleitz Ninth Edition Digital Electronics Kleitz Ninth EditionDigital. Hack Hay Day Apk Free Download on this page.

2.7 NAND and NOR logic networks Introduce the use of NAND and NOR gates in the synthesis of logic circuits Attractive due to their simpler electronic circuits implementation than AND and OR functions Q: Can be used directly in the synthesis of logic circuits? Graphical symbols for NAND and NOR gates (Figure 2.20) A bubble at the output side of the gate symbols represents the complemented output signal. DeMorgan’s theorem in terms of logic gates x x 1 x 1 1 x x 2 x 2 2 (a) 𝑥 1 𝑥 2 = 𝑥 𝑥 2 A NAND gate is equivalent to the OR gate with inversions at its inputs. A NAND of variables x1 and x2 is equivalent to first inverting each of the variables and then ORing them. Download Rally Pro Jar.

The NOR of variables x1 and x2 is equivalent to first complementing each of the variables and then ANDing them. X 1 x x 1 1 x x 2 x 2 2 (b) 𝑥 1 + 𝑥 2 = 𝑥 𝑥 2 A NOR gate is equivalent to the AND gate with inversions at its inputs Figure 2.22. Using NAND gates to implement a sum-of-products. X 1 2 3 4 5 1 Double inversion has no effect on the network behavior.

2 Transform a AND-OR networks into a network of NAND gates Replace each connection between AND and OR gate by inversions of signals. Mpeg4 Pinnacle Codec. Replace OR gate with inverted inputs by a NAND gate. Replace each connection between the AND and an OR gate by a connection that includes two inversions of signals The OR gate with inversions at its inputs is equivalent to a NAND gate. Can implement any AND-OR network as a NAND-NAND network having the same topology. Same topology! Figure Using NAND gates to implement a sum-of-products.

Using NOR gates to implement a product-of sums. X 1 2 3 4 5 Can implement any OR-AND network as a NOR-NOR network having the same topology with the similar transformation procedure. Figure Using NOR gates to implement a product-of sums. Example 2.6 Let us implement the function using NOR gates only Combining property 14b. (x + y) (x + 𝑦 ) = x Let us implement the function using NOR gates only 𝑓 𝑥 1, 𝑥 2, 𝑥 3 = 𝑚(2, 3, 4,6, 7) = 𝑀(0,1,5) The POS expression 𝑓=(x1 + x2 + x3) (x1+x2+ 𝑥 3 )( 𝑥 1 +x2+ 𝑥 3 ) // apply combining property 14b to // M0 and M1; M1 and M5 = 𝑥 1 + 𝑥 2 ( 𝒙 𝟐 + 𝒙 𝟑 ) x1 x2 x3 F 1 Figure 2.24 NOR-gate realization of the function in Example 2.4.