b) The system has four inputs and three outputs. The first two inputs, a and b, represent a 2-bit binary number (range of 0 to 3). A second binary number (same range) is represented by the other two inputs, c and d. The output f is to be 1 if and only if the two numbers differ by exactly 2. Output g is to be 1 if and only if the numbers are equal. Output h is to be 1 if and only of the second number is larger than the first. f) The system has four inputs. The first two, a and b, represent a number in the range 0 to 2 ( 3 is not used). The other two, c and d, represent a second number in the same range. The output, y, is to be 1 if and only if the two numbers do not differ by more than 1 . Chapter 2, problem 4: (1 pts) Show a truth table for the following function: a) F=XY+YZ+XYZ Chapter 2, problem 8: (1 pts) Using Boolean Algebra, reduce the following expression to a minimum sum of products form. d) abc+abc+abc+abc Chapter 2, problem 10: (1 pts) Show a block diagram of a system using AND, OR, and NOT gates to implement the following function. Assume that variables are available only uncomplemented. Do not manipulate the algebra. a) PQ+PR+QR