The Ultimate Guide to Implementing NOR Gate from NAND Gate
Update Time: 20231124 14:34:48
Contents
NOR and NAND gates are universal logic gates, offering the capability to implement various logic gates and logical expressions. At the heart of modern electronics, these gates serve as the fundamental building blocks for constructing complex digital circuits. The NAND and NOR gates stand out for their versatility and significance. In this guide, we will explore how to skillfully transform a NAND gate into a NOR gate, demonstrating the adaptability and efficiency of these essential components in digital circuit design. By understanding the intricacies of the "NAND and NOR gate" relationship and specifically focusing on creating a "NOR gate from a NAND gate," we unlock new possibilities in electronics and digital logic design.
What is the NAND and NOR Gates?
In the following, we will discuss the NAND GATE and NOR GATE.
NAND gate
A NAND gate, also called a 'NOTAND' or Negated Gate, is essentially a combination of a NOT gate followed by an AND gate. It holds the status of being one of the Universal Gates.
NOR Gate = OR Gate + NOT Gate
The output of this gate is 1 only when none of the inputs is 1. Alternatively, the output is high when all inputs are not high and at least one is low.
For two inputs, A and B, the Boolean expression for the NAND gate is Y = (A . B)'. The output is the opposite of the AND gate for all possible input combinations in the NAND gate. The NAND gate adheres to the commutative law, expressed as (AB)' = (BA)'. Here, A and B represent the inputs, and Y represents the output. The NAND logic gate can be implemented by multiplying all the inputs and complementing the result.
Symbol
Output Equation of NAND Gate
If A and B represent the input variables, and Y represents the output variable of the NOR gate, the output is determined by the expression:
This is pronounced as "Y equals not A or not B."
Truth Table of Nand Gate
The chart illustrating the connection between inputs and the output of a logic gate is known as a truth table. Below is the truth table for the NAND gate:
Input Output A B Y = (A + B)' 0 0 1 0 1 1 1 0 1 1 1 0
NOR gate
The NOR gate, denoted as the negated OR, produces a high output (1) when both inputs register a low state (0). Functioning as one of the Universal Gates, the NOR gate is occasionally called a "NOTOR" gate, constructed by placing an OR gate followed by a NOT gate.
This gate's output assumes a high state (1) exclusively when all inputs reach a low state (0). Conversely, when all inputs are at a low level, the output becomes high. The Boolean representation for the NOR gate is expressed as Y=(A+B)’ when incorporating two inputs, A and B. Additionally recognized as the active LOW AND gate, the NOR gate's logic operation involves summing all inputs and subsequently complementing the result.
A and B denote the inputs in this context, while Y signifies the output. The NOR logic gate's functionality is achieved by summing all inputs and then complementing the summation result.
Symbol
Output Equation of NOR Gate
In the context where A and B serve as input variables, and Y represents the output variable of the NAND gate, the output can be expressed as follows:
This expression is vocalized as "Y equals A dot B complement."
Truth Table of NOR Gate
The following is the truth table of the NAND gate:
Input Output A B Y = (A + B)' 0 0 1 0 1 0 1 0 0 1 1 0
Difference between NAND Gate and NOR Gate
Parameter NAND Gate NOR Gate Executes The NAND Gate performs negated logical multiplication. The NOR Gate performs negated logical addition. Represent The NAND Gate is symbolized by a (.)'.
Example: Z = (A.B)
The NOR Gate is symbolized by a (+)'.
Example: Z = (A+B)'
True Output A NAND Gate produces a true output when precisely one input is true. A NOR Gate produces a true output only when both inputs are false. High output The NAND Gate produces a high output if only one of its inputs is high. The NOR Gate produces a high output only if all of its inputs are low. Combination The NAND Gate is formed by combining a NOT GATE and an AND GATE. The NOR Gate is formed by combining a NOT GATE and an OR GATE.
Why are there NAND and NOR gates?
Why do we create NAND and NOR gates instead of stringing together AND, OR, and NOT whenever the need arises? Although we have yet to delve into the construction of logic gates, there are compelling reasons to define NAND and NOR.
Electronic circuits inherently exhibit inversion: Whether employing MOSFETs or BJT transistors, the simplest circuit for implementing AND or OR functions naturally yields an inverted output signal "at no cost." If a noninverting gate is desired, an additional inverter must be introduced to counteract the "free" inversion.
Simplicity correlates with compactness: The objective is to utilize the fewest transistors and gates possible. A NAND gate consistently occupies less space than an AND gate in gate arrays, semicustom ASICs, or custom integrated circuits. Similarly, a NOR gate is invariably smaller than its OR gate counterpart.
Simplicity translates to speed: The naturally inverting NAND gate consistently outpaces an AND + NOT combination in speed.
Simplicity contributes to power efficiency: Simple gates entail fewer nodes changing each logic transition. A reduction in moving nodes results in less charge oscillation, necessitating less charge from the power supply. This translates to a prolonged battery life for your digital device—imagine your mobile phone retaining an account for a month instead of just a day.
What does the NAND gate use for?
The NAND gate is considered a universal gate as it can implement the functions of AND, OR, and NOT. NAND gates play a crucial role in identifying a low state in a single input of a digital system. For instance, a basic security system exclusively employing NAND gates can monitor the condition of sensors linked to windows and/or doors. When a window/door is shut, the sensor transmits a logical "1" signal to the security system. The alarm output remains at "0" as long as all windows and doors are closed. However, if any window or door opens, the security system output transitions to "1," triggering an alarm or initiating another specified action.
The prevalence of the NAND gate stems from its simplicity in implementation using transistor technology. For instance, a twoinput NAND gate requires only four transistors in a CMOS configuration. All other logical operators can be constructed using exclusively NAND gates arranged in different configurations. This elementary circuit was the sole implementation in the early stages of microprocessor development.
Numerous reallife applications showcase the versatility of NAND gates, including:
Integration into alarm circuits based on light detection radiation.
Utilization of freezer warning buzzer devices.
Inclusion in automatic temperature regulation circuits.
Analysis of sensor status connected to various doors and windows.
Deployment in burglar alarm systems.
How to Implement NOR Gate from NAND Gate
StepbyStep Guide Procedure
Position the 74LS02 Quad 2input NOR Gates IC onto the IC Trainer Kit.
Establish connections for VCC and ground to the designated pins on the IC Trainer Kit.
Assemble the circuit following the configuration outlined in the provided circuit diagram.
Link the inputs to the set input switches available on the IC Trainer Kit.
Connect the outputs to the switches associated with Output LEDs.
Apply diverse input combinations under the truth table, observing the status of LEDs.
Record the corresponding output readings for the varied input combinations.
Power down the Trainer Kit, detach all wire connections and remove the ICs from the ICBase.
Theory
NAND Gate  This digital circuit, equipped with two or more inputs, generates an output representing the logical AND of all the inverted inputs.
Digital circuits employ Logic NAND Gates to achieve specific logical functions. These gates are symbolized by a shape resembling a typical AND gate, featuring a circle, often referred to as an "inversion bubble," at the output. This symbol corresponds to the NOT gate and signifies the logical operation inherent in the NAND gate.
Similar to the previously discussed AND function, the NAND function supports any number of individual inputs. Commercially available NAND Gate ICs come in standard 2, 3, or 4 input configurations. Should additional inputs be necessary, the standard NAND gates can be interconnected to accommodate more inputs.
Boolean Expression Y = (A.B)'
"When either A or B is NOT true, Y is true."
The operation of a NAND gate mirrors that of an AND gate followed by an inverter. This correlation is visually depicted in the symbol used to represent the NAND gate.
NOR GATE  A digital circuit featuring two or more inputs that yields an output, representing the inversion of the logical OR operation applied to all these inputs.
Digital circuits employ Logic NOR Gates to achieve specific logical functions. Symbolized by a shape resembling a standard OR gate, it incorporates a circle, often referred to as an "inversion bubble," at the output. This symbol signifies the NOT gate operation inherent in the NOR gate.
Similar to the OR function, the NOR function accommodates any number of individual inputs. Commercial NOR Gate ICs are readily available in standard 2, 3, or 4 input configurations. Should additional inputs be necessary, standard NOR gates can be interconnected to expand the input capacity.
Boolean Expression Y = (A+B)'
"When neither A nor B is true, Y is true."
The operation of a NOR gate mirrors that of an OR gate followed by an inverter. This correspondence is visually represented in the symbol used to denote the NOR gate.
Block Diagram
Precautions
Adhere to the IC pin diagram when establishing connections.
Ensure secure connections on the trainer kit.
Apply Vcc and ground meticulously to the designated pin.
Conclusion
In conclusion, implementing a NOR gate from a NAND gate opens up new possibilities in digital circuit design. The flexibility and efficiency of NOR gates make them a valuable asset in various applications. Whether you're a student, hobbyist, or professional, mastering the art of NOR gate implementation is a worthwhile endeavor.
Read More
Previous: 4Bit Binary Counter: Working, Circuit Diagram & Applications
Next: Exploring NAND, AND, NOR, OR Gate: A Deep Dive into Basic Logic Gates
FAQ
 Why do we use NAND gates instead of NOR gates?
The NAND gate incorporates cascaded NMOS in the pulldown network and parallel PMOS in the pullup network.
 Why is NAND more preferable than NOR?
NAND demonstrates superior efficiency in write operations, erasures, and sequential reads.
 What is the minimum number of NOR gates required to release the NAND gate?
1 NOR gate and 4 NAND gates.
 What are logic gates using NOR gate and NAND gate?
The NAND gate generates a logic 1 output only when all its inputs are logic 0. In contrast, the NOR gate produces a logic 1 output only when one or more of its inputs are logic 0.
 What are the basic logic gates?
Seven basic logic gates exist: AND, OR, XOR, NOT, NAND, NOR, and XNOR.
Ratings and Reviews
Related Products

TMCS1100A4QDRQ1
TI
AECQ100, ±600V, precision, isolated cu > 
TPS63805YFFR
TI
2A, highefficient, 11µA quiescent cur > 
ADS58H40I
TI
BGA > 
LP3878MRADJ /NOPB
TI
LDO Regulator Pos 1V to 5.5V 0.8A 8Pin > 
LM53601MQDSXRQ1
TI
Conv DCDC 3.55V to 36V Synchronous Step > 
ADS1120IRVAR
TI
4Channel Single ADC DeltaSigma 2ksps 1 > 
THVD1550D
TI
RS485 Transceiver, 1 Driver, 1 Receiver, > 
TPS54302DDCT
TI
Conv DCDC 4.5V to 28V Synchronous Step > 
THVD1500DR
TI
5V RS485 Transceivers up to 300kbps Wit > 
TPSM84203EAB
TI
1.5A, 28V Input, 3.3V Output, TO220 Pow > 
TPS26601RHFR
TI
Hot Swap Controller 1CH 55V NChannel P > 
TCAN332GDCNT
TI
3.3V CAN Transceivers with CAN FD (Flex > 
INA181A3IDBVT
TI
26V, Bidirectional, Low or HighSide Vo > 
DP83867ERGZT
TI
Ethernet Controller, 1 Gbps, IEEE 802.3, > 
CSD95378BQ5MC
TI
60A Synchronous Buck NexFET™ Smart Powe >
Hot Stocks
More ISO1212DBQR
 VFC320CM
 TRF7960ARHBT
 TPS715345DCKR
 TPS62110MRSAREP
 TPS54317RHFR
 TPS2211IDBR
 TPS2041BDBVR
 TMS320C54CSTPGE
 TLV2372IDGKR
 TLV111750
 TLC27L4CD
 TL720M05QKTTRQ1
 THS7303PW
 SNJ54ABT541W
 SN74LVTH245ADBR
 SN74LVC245ADWR
 SN74LVC244AN
 OPA365AID
 OPA2227U
 OPA2180IDGK
 MPY100AM
 LP5907SNX2.8/NOPB
 LP2985AIM512
 LP298533
 LMC662CMX
 LM79L05ACM
 LM35CAZ
 LM34CZ/NOPB
 LM2941SX
 LM2904N/NOPB
 LM2734YMKX/NOPB
 LM140LAH5.0
 INA219BIDR
 INA105BM
 CD4077BF
 BQ3287EAMT
 BQ24735EVM710
 BQ24075RGTR
 BQ2000TPW
 AM3352ZCZD72
 ADS8505IDW
 ADS8329IBPW
 ADS7884SDBVR
 ADS7846