Todays deals on Nand Gate?

9 TELEDYNE C76AI-1 AC INPUT 12 RCA CD4011UBE NAND GATE 7 MOTOROLA MC34051P TRANS $295.00

1000 PCS HEF4011BP HEF4011 CD4011 DIP-14 NAND GATE $287.99

1000 PCS HD74HC00P DIP-14 74HC00N Quad 2-input NAND Gates /FREE Register Mail $269.99

250 PCS 74HCT03D 74HCT03 SOP-14 Quad 2-input NAND gate $209.99

500 PCS HD74LS00P 74LS00 DIP-14 QUAD 2-INPUT NAND GATE $189.99

250 PCS CD4012BE CD4012 DIP-14 CMOS NAND GATES $189.99

150PC 74LVC10AD 74LVC10 SOP-14 Triple 3-input NAND gate $183.99

500 PCS 74HC00N 74HC00 DIP-14 Quad 2-input NAND gate /FREE Registered Mail $167.99

2500 PC’S P/N MC74HC30DR2 IC GATE NAND 8 INPUT HS 14 SOIC CMOS $149.00

300 PCS 74HC30D 74HC30 SOP-14 8-input NAND gate $148.99

1000 PCS 74HC00D 74HC00 SOP-14 Quad 2-input NAND gate $143.99

500 PCS CD4011BE DIP-14 CD4011 CMOS NAND GATES /FREE registered mail $133.79

100 x Motorola MC14011B Quad 2-input NAND gates $48.60

100PCS 74LS20 DIP14 DIP-14 HITACHI Dual 4-Input Positive NAND Gates IC $83.60

100PCS 74LS01 DIP14 DIP-14 HITACHI Quadruple 2-Input Positive NAND Gate IC $83.60

100PCS 74LS30 DIP14 DIP-14 HITACHI 8 Input Positive NAND Gates IC $83.60

200,HEF4011BP CD4011 4011 QUAD 2-INPUT NAND GATE $63.00

100PCS CD4012 4012 DUAL 4-Input NAND GATE TI DIP14 DIP-14 IC $57.48

TI SN54LS12J TRIPLE 3-INPUT NAND GATE NEW PARTS QTY-25 $49.95

200pcs CD4011 CD4011BE 4011 QUAD 2-INPUT NAND GATE IC $52.99

100PCS 74LS00 DIP14 DIP-14 HITACHI Quad 2-Input NAND Gate IC $47.41

250 PCS 74HC00D 74HC00 SOP-14 Quad 2-input NAND gate $44.99

M38510/07009BEA 13-Input Positive NAND Gate 54S133 $40.00

BANNER BN2-2 NAND GATE 8-PIN BASE +15V NIB!!! $35.00

120 PCS HD74HC00P DIP-14 74HC00N Quad 2-input NAND Gates /FREE Registered Mail $42.99

100PCS HD74HC00P DIP-14 74HC00 HC00 2-input NAND Gates NEW Integrated Circuit $41.80

100 PCS 74HC00 SOP-14 HC00 SMD SOP14 TI Quad 2-input NAND gate $37.62

200 PCS 74HC00D SOP-14 74HC00 SMD Quad 2-input NAND gate $35.99

100 PCS HD74HC00P DIP-14 74HC00 HC00 2-input NAND Gates $34.99

Qty. 20 New Texas Inst. 74S37N NAND Gate Logic IC’s $25.00

FAIRCHILD CMOS DATA BOOK 1977 4000B Series NAND NOR GATES JK FLIP FLOP REGISTER $28.95

50 PCS 74HCT03D SOP-14 74HCT03 SMD Quad 2-input NAND gate $29.99

SCI 080-2459 Dual NAND GATE BOARD PCB AULT 180-2459 $24.99

944FMQB NAND-NOR Gate $24.00

5962-8870801CA 8-Input Positive NAND Gate $22.00

50pcs CD4023BE CD4023 CMOS NAND Gates (6 PK) $25.99

MOTOROLA * MC830P * 4-INPUT NAND-FUNCTION LOGIC GATE $19.95

WC944D WESTERN ELECTRIC 4-Input NAND-Function Logic Gate VINTAGE 1968 NOS $19.95

Banner Nand Gate Relay BN2-2 $25.00

70 Pcs 74LS10 Triple 3 Input NAND Gate IC’s GS New $25.00

RAYTHEON RC946P DTL IC DIP QUAD 2 NAND / NOR GATE H T F $17.90

100pcs CD4011 CD4011BM 4011 SMD QUAD 2-INPUT NAND GATE IC SOP-14 $23.79

5962-86833012A, Mil Spec NAND Gate, 54ALS00M/B2AJC $19.76

100 PCS CD4011BM SOP-14 CD4011 SMD-14 CMOS NAND Gates $23.29

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50 PCS 74HC30D SOP-14 74HC30 SMD 8-input NAND gate NEW $22.99

60 PCS HEF4011BP HEF4011 CD4011 DIP-14 NAND GATE $22.99

50 PCS HD74HC10P DIP-14 74HC10 Triple 3-input NAND gate $20.99

50 74HC03 Quad 2-input NAND gate $18.99

SN54LS133J – SN54LS133 13-INPUT NAND GATE IC $16.99

10 pcs of 74LVC1G00 Single 2-input NAND gate IC $14.99

10 Rochester Elec. 7412N DIP14 Triple 3 Input NAND Gate $12.99

50pcs CD4011 14-DIP IC CD4011BE CMOS NAND GATE $19.99

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52 TI 74LS26 2 Input Open Collector 14 SOIC NAND Gates $12.99

50 PCS CD4012BE DIP-14 CD4012 CMOS NAND GATES $19.99

14 TI CD74HCT00E Quad 2 Input NAND Gate IC’S $12.99

5 National JM38510/00104BCA Quad Nand Gate IC’s $12.99

50 RCA MC14011UB 14DIP CMOS Quad NAND Gate IC’s $19.99

25 TI SN7410N Triple 3-Input Positive-Nand Gates IC’s $12.99

MC100E104 QUINT 2-INPUT AND/NAND GATE IC $14.89

55 PCS CD4011BE DIP-14 CD4011 CMOS NAND GATES /FREE registered mail $19.62

50pcs CD4011 14-DIP IC CD4011BE CMOS NAND GATE $19.49

50 PCS 74HC00N DIP-14 74HC00 HC00 2-input NAND Gates $18.99

MC846L MC846 L 2-INPUT NAND-FUNCTION LOGIC GATE $14.99

50 PCS HD74HC00P DIP-14 HC74HC00 74HC00 HC00 2-input NAND Gates $18.99

M38510/00109BCA Quad 2-Input Positive NAND Gates $15.00

JM38510/00104 BCA QUADRUPLE 2-INPUT POSITIVE-NAND GATES 2 pcs $14.99

JM38510/37002BCA TRIPLE 3-INPUT POSITIVE NAND GATES $14.99

50 PCS CD4011BM SMD CD4011 CMOS NAND Gates $18.89

23x MC74HC00N Quad 2-Input NAND Gate $18.80

100 PCS 74HC00D SOP14 74HC00 SMD Quad 2-input NAND gate $18.49

100 PCS 74HC00D SOP14 74HC00 SMD Quad 2-input NAND gate $18.49

50,HEF4011BP CD4011 4011 QUAD 2-INPUT NAND GATE $17.20

50 PCS CD4011BE DIP-14 CD4011 CMOS NAND GATES $17.12

50 PCS CD4011BE DIP-14 CD4011 CMOS NAND GATES $17.12

ICs,Motorola MC54F02J F/FAST SERIES,DUAL 4-INPUT,NAND GATE,CDIP14,25 pcs $10.99

4023 Triple 3 Input NAND Gate 5 pieces $3.84

6 New TI SN7420N Dual 4Input Positive Nand Gates $6.00

74LS03 Quad 2 Input NAND Gate Logic IC (Pack of 4) $1.56

CD4011BE CMOS NAND Gates (Lot of 100) 4011 CMOS Logic ICs – BIN $13.00

MC862P MDTL TRIPLE 3-INPUT NAND GATE (Lot of 2) $13.00

SN54LS30J – SN54LS30 8-INPUT NAND GATE IC $12.00

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20pcs CD4012 CD4012BE DUAL 4-Input NAND GATE $15.99

20pcs CD4012 CD4012BE DUAL 4-Input NAND GATE $15.99

INTEGRATED CIRCUITS, NATIONAL CD4023BCN 14 DIP NAND GATE TRIPLE 3-INPUT,33 PCS $9.99

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Lot (10) National Semiconductor 54AC10DMQB triple 3 input NAND gate FULL MIL! $9.73

74S03N NAND Gate 4-Element 2-IN Bipolar 14-Pin PDIP $1.57

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7401N 7401PC IC, NAND Gate 4-Element 2-IN Bipolar DIP 14-Pin $1.57

7410N 7410PC NAND Gate 3-Element 3-IN Bipolar 14-Pin PDIP $1.57

74132N 74132PC NAND Gate 4-Element 2-IN Bipolar 14-Pin PDIP $1.57

7438N 7438PC NAND Gate 4-Element 2-IN Bipolar 14-Pin PDIP $1.57

100 pcs TI# SN74F30DR IC 8-IN NAND GATE 14-SOIC NEW $15.29

MC858L MDTL QUAD 2-INPUT NAND POWER GATE (Lot of 4) $12.00

74AS1000D 74AS1000M NAND Gate 4-Element 2-IN Bipolar 14-Pin SOIC $1.57

20pcs CD4023BE CD4023 CMOS NAND Gates (6 PK) $14.99

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Nand Gate Questions

Boolean Algebra

One of the primary requirements when dealing with digital circuits is to find ways to make them as simple as possible. This constantly requires that complex logical expressions be reduced to simpler expressions that nevertheless produce the same results under all possible conditions. The simpler expression can then be implemented with a smaller, simpler circuit, which in turn saves the price of the unnecessary gates, reduces the number of gates needed, and reduces the power and the amount of space required by those gates.

One tool to reduce logical expressions is the mathematics of logical expressions, introduced by George Boole in 1854 and known today as Boolean Algebra. The rules of Boolean Algebra are simple and straight-forward, and can be applied to any logical expression. The resulting reduced expression can then be readily tested with a Truth Table, to verify that the reduction was valid.

This has a very great role to play in abstract algebra. In fact, in abstract algebra, Boolean algebra is an algebraic that captures essential properties of both set operation and logic operations. Specifically, it deals with the set operations of intersection, union, complement and the logic operations of AND, or, NOT.

Like any lattice, a Boolean algebra (A, land, lor) gives rise to a partially ordered set (A, ≤) by defining

a ≤ b precisely when a = a land b

(which is also equivalent to b = a lor b).

In fact one can also define a Boolean algebra to be a distributive lattice with least element 0 and greatest element 1, within which every element x has a complement x such that

x land x = 0 and x lor x = 1

Here land and lor are used to denote the infimum (meet) and supremum (join) of two elements. Again, if complements in the above sense exist, then they are uniquely determined.

The algebraic and the order theoretic perspective can usually be used interchangeably and both are of great use to import results and concepts from both universal algebra and order theory. In many practical examples an ordering relation, conjunction, disjunction, and negation are all naturally available, so that it is straightforward to exploit this relationship. One can also apply general insights from duality in order theory to Boolean algebras. Especially, the order dual of every Boolean algebra, or, equivalently, the algebra obtained by exchanging land and lor, is also a Boolean algebra. In general, any law valid for Boolean algebras can be transformed into another valid, dual law by exchanging 0 with 1, land with lor, and ≤ with ≥.

The operators of Boolean algebra may be represented in various ways. Often they are simply written as AND, OR and NOT. In describing circuits, NAND (Not AND), NOR (Not OR) and XOR may also be used. Mathematicians, engineers, and programmers often use + for OR and · for AND (since in some ways those operations are analogous to addition and multiplication in other algebraic structures and this notation makes it very easy to get sum of products form for people who are familiar with normal algebra) and represent NOT by a line drawn above the expression being negated. Sometimes, the symbol ~ or ! is used for NOT.

Every Boolean algebra (A, land, lor) gives rise to a ring (A, +, *) by defining a + b = (a land b) lor (b land a) (this operation is called symmetric difference in the case of sets and XOR in the case of logic) and a * b = a land b. The zero element of this ring coincides with the 0 of the Boolean algebra; the multiplicative identity element of the ring is the 1 of the Boolean algebra. This ring has the property that a * a = a, for all a in A; rings with this property are called Boolean rings.

Conversely, if a Boolean ring A is given, we can turn it into a Boolean algebra by defining x lor y = x + y + xy and x land y = xy. Since these two operations are inverses of each other, we can say that every Boolean ring arises from a Boolean algebra, and vice versa. Furthermore, a map f: A → B is a homomorphism of Boolean algebras if and only if it is a homomorphism of Boolean rings. The categories of Boolean rings and Boolean algebras are equivalent.

An ideal of the Boolean algebra A is a subset I such that for all x, y in I we have x lor y in I and for all a in A we have a land x in I. This notion of ideal coincides with the notion of ring ideal in the Boolean ring A. An ideal I of A is called prime if I ≠ A and if a land b in I always implies a in I or b in I. An ideal I of A is called maximal if I ≠ A and if the only ideal properly containing I is A itself. These notions coincide with ring theoretic ones of prime ideal and maximal ideal in the Boolean ring A.

The dual of an ideal is a filter. A filter of the Boolean algebra A is a subset p such that for all x, y in p we have x land y in p and for all a in A if a lor x = a then a in p.

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About the Author

Author Devendra Saxena is associated with Algebra Articles and take care of College Algebra Articles.

Nand Gate Videos

Rolf-David’s Basic Logic Gate Tutorial 5, The NAND-gate. (Minecraft)

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