Understanding Logic Gates: NAND, NOR, XOR, XNOR
Explore the functionality of essential logic gates, including NAND, NOR, XOR, and XNOR gates. Learn about their truth tables, symbols, and applications in digital circuit design.
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Presentation Transcript
. : . NAND . NAND . NAND . .1 .2 .3 .4 .5 .6 .7 .8 .9 . NOR . NOR . NOR . XOR XOR . XOR XNOR. XNOR. XNOR. . .10 .11 .12 .13
Table of Content : NAND Gate NOR Gate XOR Gate XNOR Gate
NAND Gate This gate can be considered as a NOT-AND gate which is equal to an AND gate followed by a NOT gate. The outputs of all NAND gates are high if any of the inputs are low. The symbol is an AND gate with a small circle on the output. The small circle represents inversion.
NAND Gate Truth table for a Two-Input NAND Gate Input A B 0 0 0 1 1 0 1 1 Output X= ?? 1 1 1 0
NAND Gate Figure below shows timing diagram for NAND gate with A = (1100)2 , B = (1010)2 A B X= AB
NOR Gate This is a NOT-OR gate which is equal to an OR gate followed by a NOT gate. The outputs of all NOR gates are low if any of the inputs are high. The symbol is an OR gate with a small circle on the output. The small circle represents inversion.
NOR Gate Truth table for a Two-Input NOR Gate Input A B 0 0 0 1 1 0 1 1 Output X= ? + ? 1 0 0 0
NOR Gate Figure below shows timing diagram for NOR gate with A = (1100)2 , B = (1010)2 A B X= A + B
XOR Gate The 'Exclusive-OR' gate is a circuit which will give a high output if either, but not both, of its two inputs are high. An encircled plus sign (+) is used to show the Exclusive -OR operation.
XOR Gate Truth table for a Two-Input XOR Gate Input A B 0 0 0 1 1 0 1 1 Output X= ? ? 0 1 1 0
XOR Gate Figure below shows timing diagram for XOR gate with A = (1100)2 , B = (1010)2 A B X= A B
XNOR Gate The 'Exclusive-NOR' gate circuit does the opposite to the EOR gate. It will give a low output if either, but not both, of its two inputs are high. The symbol is an EXOR gate with a small circle on the output. The small circle represents inversion.
XNOR Gate Truth Table for a Two-Input XNOR Gate Input A B 0 0 0 1 1 0 1 1 Output X= ? ? 1 0 0 1
XNOR Gate Figure below shows timing diagram for XNOR gate with A = (1100)2 , B = (1010)2 A B X= A B
Example Write the Boolean expression of the logic circuit shown below?
Example Answer: ? = ?? + ? + ?
Homework Write the Boolean expression of the logic circuit shown below? https://forms.gle/Va4x8DgDM7Sn8R8N6
