Hi, I need help with these logic design questions.

7. Using a decoder (represented with a block diagram) and a minimum number of

external gates, design the combinational circuit for the following Boolean functions:

F1 = xyz + xz

F2 = xyz + xy

F3 = xyz + xy

8. Write a Verilog module that takes as input a 4-bit (unsigned) binary number and

provides the following outputs:

zero equal to one if and only if the input is zero

odd equal to one if and only if the input is an odd number

less_than_eight equal to one if and only if the inputs decimal value is less than 8

9. Using a decoder constructed from NAND gates (so negative outputs) and external

NAND gates, design the combinational circuit for the following Boolean functions:

F1(A,B,C) = (2, 4, 7)

F2 (A,B,C) = (0, 3)

F3(A,B,C) = (1, 5, 6)