A 2 $$ \times $$ 2 ROM array is built with the help of diodes as shown in the circuit below. Here W₀ and W₁ are signals that select the word lines and B₀ and B₁ are signals that are output of the sense amps based on the stored data corresponding to the bit lines during the read operation.
During the read operation, the selected word line goes high and the other word line is in a high impedance state. As per the implementation shown in the circuit diagram above, what are the bits corresponding to D_ij (where i = 0 or 1 and j = 0 or 1) stored in the ROM?

The logic gates shown in the digital circuit below use strong pull-down nMOS transistors for LOW logic level at the outputs. When the pull-downs are off, high-value resistors set the output logic levels to HIGH (i.e. the pull-ups are weak). Note that some nodes are intentionally shorted to implement “wired logic”. Such shorted nodes will be HIGH only if the outputs of all the gates whose outputs are shorted are HIGH.


The number of distinct values of X₃X₂X₁X₀ (out of the 16 possible values) that give 𝑌 = 1 is _______.

A four-variable Boolean function is realized using 4 $$ \times $$ 1 multiplexers as shown in the figure.
The minimized expression for F(U, V, W, X) is

A function F(A, B, C) defined by three Boolean variables A, B and C when expressed as sum of products is given by

F = $$\overline A .\overline B .\overline C + \overline A .B.\overline C + A.\overline B .\overline C $$

where, $$\overline A $$, $$\overline B $$, and $$\overline C $$ are the complements of the respective variables. The product of sums (POS) form of the function F is