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The Boolean function y = AB + CD is to be realized using only 2-input NAND gates. The minimum number of gates required is __________
Correct answer is '3'. Can you explain this answer?
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The Boolean function y = AB + CD is to be realized using only 2-input ...
So, the Correct Answer is 3 NAND Gates
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The Boolean function y = AB + CD is to be realized using only 2-input ...
Solution:
Given Boolean function is y = ABCD.
We need to realize this function using only 2-input NAND gates.
Procedure:
Step 1: Write the Boolean expression for NAND gate.
NAND gate is a combination of AND gate followed by a NOT gate.
The Boolean expression for 2-input NAND gate is given by
Y = A ⋅ B̅ + A̅ ⋅ B
where Y is the output, A and B are the inputs.
Step 2: Simplify the given Boolean function.
y = ABCD
= AB ⋅ CD
Step 3: Draw the logic diagram using NAND gates.
The simplified Boolean expression can be realized using the following logic diagram.
In the above diagram, we have used three 2-input NAND gates.
Therefore, the minimum number of gates required to realize the given Boolean function using only 2-input NAND gates is 3.
Given Boolean function is y = ABCD.
We need to realize this function using only 2-input NAND gates.
Procedure:
Step 1: Write the Boolean expression for NAND gate.
NAND gate is a combination of AND gate followed by a NOT gate.
The Boolean expression for 2-input NAND gate is given by
Y = A ⋅ B̅ + A̅ ⋅ B
where Y is the output, A and B are the inputs.
Step 2: Simplify the given Boolean function.
y = ABCD
= AB ⋅ CD
Step 3: Draw the logic diagram using NAND gates.
The simplified Boolean expression can be realized using the following logic diagram.
In the above diagram, we have used three 2-input NAND gates.
Therefore, the minimum number of gates required to realize the given Boolean function using only 2-input NAND gates is 3.
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The Boolean function y = AB + CD is to be realized using only 2-input NAND gates. The minimum number of gates required is __________Correct answer is '3'. Can you explain this answer?
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