Please complete the following 3 questions... need them done in detail. Will rate thumbs up.

6. Construct a BCD-to-seven-segment decoder. This converts a decimal digit, expressed as BCD, to an appropriate series of signals to light the seven segments of the decoder. You will need to design a large truth table for the four inputs and seven output functions (each segment is a separate function.) Yes, this means 7 maps are required. The six invalid BCD combinations should result in a blank display. Note how the digit 1 is created from the right side of the display unit; for this exercise, assume the display is a positive-logic device. See the diagram, below. [20pts] (a) Segment designation b) Numerical designation for display Using an appropriate decoder and external gates, design the circuits specified by the following Boolean functions: 7. (7pts] F2 = xyz + xy 8. [8pts] = (x + y)2