GATE 2025 Digital Circuits Evaluation Quiz 5

If (199)₁₂ + (199)₁₁ = (N)₅, Then the value of ‘N’ is __________.

The minimum number of NOR gates required to implement is equal to __________.

Let the function f given as f(A, B, C, D) = Σm(0, 1, 3, 5, 6, 10, 11, 14, 15). Find the number of reduced prime implicants?

The minimum number of two input NAND gates required to implement the following Boolean function  with all variables available in uncomplimented form only are?

Consider the Logic circuit given below which uses a 3 to 8 decoder with active low outputs.

If the boolean function F₃ can be expressed as F₃ (A, B, C) = ∑m (0, 1, 2, 3, 6, 7). Then the appropriate Logic gate G₁ is _____.

For the given state diagram, Q is the output. The logic gate is:

For the ring counter shown in below, find the steady state sequence if the initial state of the counters is 1110 (i.e., Q₃, Q₂, Q₁, Q₀ =1110). Determine the MOD number of the counter.

For the figure shown, the expression for the output S and next state Q_n+1 is: