Solve the following exercises.

Thank you in advance

Consider a logic function with three inputs, A, B, and C, and two outputs, D and E. The function is defined as follows: D is true if exactly one input is true, and E is true if either B is true, or both A and C are true. Show the truth table for this function. Show the logic equations for the logic functions D and E in the previous example. Often, in diagrams, the NAND gate is drawn as below: A- Explain why. Which logic function is implemented by the following circuit? Draw the block diagram and the truth table for a 2-bit input decoder. Show the sum-of-products representation for the following truth table for D, from three inputs A, B, and C: B 0 0 0 Implement the above sum-of-products function for D with a programmable logic array in a diagram. 7. One logic function that is used for a variety of purposes (including within adders and to compute parity) is exclusive OR. The output of a two-input exclusive OR function is true only if exactly one of the inputs is true. Show the truth table for a two-input exclusive OR function and implement this function using AND gates, OR gates, and inverters