Specify the truth table of an octal-to-binary priority encoder. Provide an output V to indicate that at least one of the inputs is present. The input with the highest subscript number has the highest priority. What will be the value of the four outputs if inputs D 2 and D 6 are 1 at the same time?

You are asked to design a circuit to detect if an overflow occurs when subtracting two integers represented in two's complement: Z= X - Y. Let Sz, Sx, and Sy be the sign bit for Z, X, and Y respectively, and they are fed as input to the circuit. Let O be the output bit of the circuit, whose value is 1 if an overflow happens, and 0 if otherwise. a) Build the truth table for O as a Boolean function of Sx, Sy, and Sz. b) Write the canonical expression (sum-of-product) for the Boolean function defined in the part a. c) Implement the Boolean expression defined in part b with a circuit by using AND, OR, and NOT gates. Draw the wiring diagram.

you need to design and draw a 3-bit synchronous binary up/down counter for experiment 5. You need to add a bit named "M" for the excitation table that helps it switch between up and down mode and draw the state transition diagram, excitation table, k-map and circuit diagram with T-flip flops. When M = 0, it will perform up counter. When M = 1, it will perform down counter.

Using MATLAB compute the convolution of the following signals: a) x (n) = {1,2,4}, h (n) ={1,1,1,1,1} Also, plot the convolution.