Some of the questions below are taken from or based on questions in Tanenbaum, Structured Computer Organisation, 5th edition. 1. Draw the logic diagram for a 3-bit synchronous counter which counts backwards (111 110 101-100-011-010-001-000-111...). Hint: Start by writing down a truth table of current value and next value as done in the lecture for the 2-bit synchronous counter. 2. Draw the logic diagram for a 3-bit synchronous counter which counts in the sequence 000-001-010-100-110-000-... (i.e. 0,1,2,4,6).