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 → A, A → B, B → C, C → 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 ________.

In the figure shown, the output Y is required to be Y = A.B + C̅.D̅. The gates G₁ and G₂ must be respectively.

The Boolean expression $\mathrm{F}\left(\mathrm{x},\mathrm{y},\mathrm{z}\right)=\bar{\mathrm{x}}\mathrm{y}\bar{\mathrm{z}}+\mathrm{x}\bar{\mathrm{y}}\bar{\mathrm{z}}+\mathrm{x}\mathrm{y}\bar{\mathrm{z}}+\mathrm{x}\mathrm{y}\mathrm{z}$ is converted into the canonical product of sum (POS) form is