Question:
Consider the circuit shown below and find the minimum number of NAND gates required to design it.
Consider the circuit shown below and find the minimum number of NAND gates required to design it.
Show Hint
To design logic gates using NAND gates, refer to standard combinations for each gate and the number of gates required for implementation.
Updated On: Oct 18, 2025
- 4
- 6
- 3
- 5
Show Solution
Verified By Collegedunia
The Correct Option is A
Solution and Explanation
The circuit shown is an OR gate with two inputs A and B. To implement this OR gate using NAND gates, we can use the following logic:
- A single NAND gate can be used to perform the NOT operation.
- By combining NAND gates, we can design any basic gate. For an OR gate, the design requires 4 NAND gates.
Thus, the minimum number of NAND gates required to design the OR gate is \( \boxed{4} \).
Was this answer helpful?
0
0
Top NIMCET Computer Awareness Questions
- Given that numbers A and B are two 8-bit 2’s Complement numbers with \( A = 11111111 \), \( B = 11111111 \). Then sum \( A + B \) is:
- Consider an arbitrary number system with independent digits as 0, 1, and A. If we generate the first few numbers in the sequence as 00, 01, 0A, 10, 11, 1A and if this process is continued to generate the numbers, then the position of 10A is:
The Boolean expression for the following truth table is:
- Consider the following 4-bit binary numbers represented in the 2's complement form: 1101 and 0100. What would be the result when we add them?
- Which of the following interfaces perform the transfer of data between the memory and the I/O peripheral without involving the CPU?
View More Questions
Top NIMCET Binary logic Questions
- The minimum number of NAND gates required for implementing the Boolean expression, \( AB + ABC + AB\bar{C} \) is:
- Which of the following is equivalent to the Boolean expression: \( (X+Y)(\bar{X}+Y)(X+\bar{Y}) \)?
Write the simplified form of the Boolean expression \( (A + C)(AD + AD') + AC + C \):
- The Boolean expression \( AB+ A\bar{B} + \bar{A}C + AC \) is unaffected by the value of the Boolean variable
- If a signal passing through a gate is inhibited by sending a low into one of the inputs, and the output is HIGH, the gate is a(n):
View More Questions
Top NIMCET Questions
- How much work is done to slide a crate for a distance of 25 m along a loading dock by pulling on it with a 180 N force where the dock is at an angle of \(45^\circ\) from the horizontal?
- Let \( f : \mathbb{R} \to \mathbb{R} \) be a function such that \( f(0) = \frac{1}{\pi} \) and \( f(x) = \frac{x}{e^x - 1} \) for \( x \ne 0 \). Then:
- The value of the limit \[ \lim_{x \to 0} \left( \frac{1^x + 2^x + 3^x + 4^x}{4} \right)^{\frac{1}{x}} \] is:
- Consider the function \( f(x) = x^{2/3} \cdot (6 - x)^{1/3} \). Which of the following statements is false?
- Lines \( L_1, L_2, \dots, L_{10} \) are distinct, among which the lines \( L_2, L_4, L_6, L_8, L_{10} \) are parallel to each other, and the lines \( L_1, L_3, L_5, L_7, L_9 \) pass through a given point \( C \). The number of points of intersection of pairs of lines from the complete set \( L_1, L_2, L_3, \dots, L_{10} \) is:
View More Questions