6 NAND gates are needed to construct this line decoder when a 2x4 line decoder with enable is implemented using nand gate only.
What is NAND gate?
The NAND gate is a hybrid of the AND and NOT gates. They are linked in a cascade fashion. It is also known as the Negated And gate. Only when their outputs are high or true does the NAND gate provide a false or low output. The NAND gate is necessary because it is used to implement various types of boolean functions.
The NAND gate has the functional completeness property. The NAND gate's function completeness means that it can be used to implement any type of gate. It functions as an OR, NOR, and AND gate.
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Answer:
Hi, for this exercise we have two laws to bear in mind:
Morgan's laws
NOT(А).NOT(В) = NOT(A) + NOT (B)
NOT(A) + NOT (B) = NOT(А).NOT(В)
And the table of the Nand
INPUT OUTPUT
A B A NAND B
0 0 1
0 1 1
1 0 1
1 1 0
Let's start!
a.
Input OUTPUT
A A A NAND A
1 1 0
0 0 1
b.
Input OUTPUT
A B (A NAND B ) NAND (A NAND B )
0 0 0
0 1 0
1 0 0
1 1 1
C.
Input OUTPUT
A B (A NAND A ) NAND (B NAND B )
0 0 0
0 1 1
1 0 1
1 1 1
Explanation:
In the first one, we only need one input in this case A and comparing with the truth table we have the not gate
In the second case, we have to negate the AND an as we know how to build a not, we only have to make a nand in the two inputs (A, B) and the make another nand with that output.
In the third case we have that the OR is A + B and we know in base of the morgan's law that:
A + B = NOT(NOT(А).NOT(В))
So, we have to negate the two inputs and after make nand with the two inputs negated.
I hope it's help you.
Explanation:
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What are the options for this answer?
Keeping in mind the role the order of precedence plays in equations, what would Excel display as the result of the following equation?
=(24+75)/(6*3)
=99/18
= 5.5
18)99.0.
90.0
9.0
D. 5.5
