The correct Boolean operation represented by the circuit diagram drawn is:
A. AND
B. OR
C. NAND
D. NOR
Answer
644.1k+ views
Hint: Create a truth table for the above circuit, so that from the truth table you can predict the Boolean operation that is being depicted in the above circuit. Check all the possibilities of combination for A and B, such that a proper answer can be achieved.
Complete step by step answer:
For this circuit, we will make a truth table that depicts all the possible values for A and B and the resultant Y value.
The truth table for the above circuit can be depicted as:
From the above table it can be predicted that the Boolean operator depicted by the circuit diagram is a NAND gate.
So, the correct answer is “Option C”.
Additional Information:
In computer science, a Boolean expression is an expression used in programming languages that produces a Boolean value when evaluated. A Boolean value is either true or false. A Boolean expression may be composed of a combination of the Boolean constants true or false, Boolean-typed variables, Boolean-valued operators, and Boolean-valued functions.
Boolean expressions correspond to propositional formulas in logic and are a special case of Boolean circuits
Note:
Truth table is a very strong tool to get the answer for any circuit related question, it helps to take all the cases into consideration without affecting the flow of the current in the circuit. Any questions related to Boolean operation are asked, then first draw the truth table for that and then it will be easy to move forward in the question.
Complete step by step answer:
For this circuit, we will make a truth table that depicts all the possible values for A and B and the resultant Y value.
The truth table for the above circuit can be depicted as:
| A | B | Y |
| 0 | 0 | 1 |
| 0 | 1 | 1 |
| 1 | 0 | 1 |
| 1 | 1 | 0 |
From the above table it can be predicted that the Boolean operator depicted by the circuit diagram is a NAND gate.
So, the correct answer is “Option C”.
Additional Information:
In computer science, a Boolean expression is an expression used in programming languages that produces a Boolean value when evaluated. A Boolean value is either true or false. A Boolean expression may be composed of a combination of the Boolean constants true or false, Boolean-typed variables, Boolean-valued operators, and Boolean-valued functions.
Boolean expressions correspond to propositional formulas in logic and are a special case of Boolean circuits
Note:
Truth table is a very strong tool to get the answer for any circuit related question, it helps to take all the cases into consideration without affecting the flow of the current in the circuit. Any questions related to Boolean operation are asked, then first draw the truth table for that and then it will be easy to move forward in the question.
Recently Updated Pages
What is BLO What is the full form of BLO class 8 social science CBSE

Explain the Treaty of Vienna of 1815 class 10 social science CBSE

10 examples of friction in our daily life

Draw a diagram of nephron and explain its structur class 11 biology CBSE

Write structures of the following compounds i 2 Chloro3methylpentane class 11 chemistry CBSE

A Paragraph on Pollution in about 100-150 Words

Trending doubts
Draw a labelled sketch of the human eye class 12 physics CBSE

Which are the Top 10 Largest Countries of the World?

Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE

Draw ray diagrams each showing i myopic eye and ii class 12 physics CBSE

Which is the correct genotypic ratio of mendel dihybrid class 12 biology CBSE

What is the Full Form of PVC, PET, HDPE, LDPE, PP and PS ?

