Show truth tables for each of the following. a. There are four inputs and twooutputs. The inputs, w, x, y, z, are codes for the grade that may be received:

0000 A+ 0100 A 1000 A- 1100 Incomplete
0001 B+ 0101 B 1001 B- 1101 Satisfactory
0010 C+ 0110 C 1010 C- 1110 Unsatisfactory
0011 D+ 0111 E 1011 XE 1111Pass

The outputs are
1: a 1 if and only if the grade is C or better (only letter grades; C—is not C or better)
2: a 1 if and only if the university will count it toward the 120 credits required for a degree (passing grade only)
3: a 1 if and only if it will be counted in computing a grade point average (letter grades only).

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.