A 4-bit D/A converter is connected to a free-running 3-bit UP counter, as shown in the following figure. Which of the following waveforms will be observed at V₀=?

In the figure shown above, the ground has been shown by the symbol $$\nabla $$

The point p in the following figure is stuck- at-1. The output f will be

The number of product terms in the minimized sum-of-product expression obtained through the following k-map is ( where , "d" denotes don't care states)

The electric field of an electromagnetic wave propagating in the positive z-direction is given by $$$E = {\widehat a_x}\sin \left( {\omega t - \beta z} \right) + {\widehat a_y}\sin \left( {\omega t - \beta z + \pi /2} \right)$$$

The wave is