PYQs Based test 21: Digital Electronics

Which one of the following gives the simplified sum of products expression for the Boolean function F = m₀ + m₂ + m₃ + m₅, where m₀, m₂, m₃ and m₅ are minterms corresponding to the inputs A, B and C and A as the MSB and C as the LSB?

In the circuit shown, the switch is momentarily closed and then opened. Assuming the logic gates to have equal non-zero delay, at steady state, the logic states of X and Y are

A 4-bit shift register circuit configured for right-shift operation, i.e. Dᵢₙ \to A, A \to B, B \to C, C \to D, is shown. If the present state of the shift register is ABCD = 1101, the number of clock cycles required to reach the state ABCD = 1111 is ________.

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