Create 5 variable truth table with one of the variables being user input that determines if count goes up from 0->15 or from 15->0. Use k maps to simplify boolean equations and implement design with d flip flops.

Using Logicworks, implement a 4-bit counter state machine that begins at 0000 and numerically counts up or down in the 2's complement representation of binary numbers. The count updates upon each positive edge of a clock input signal. When the counter numerically counts up, the count proceeds as follows: 0000 0001 0010, etc. When the count reaches 0111 (the highest possible value of 7), the count loops around to 1000 (the lowest possible value of-8), and counts up. When the counter numerically counts down, the count proceeds as follows: 0000 1111- 1110 1101, etc. When the count reaches 1000, the count loops around to 0111. A Binary Switch input is used to specify whether the counter counts up or down. Use a Programmable Logic Array (PLA) to implement the entire combinational logic. Show the output of each bit of the counter using the Hex Display component in Logicworks