ECSE222_Midterm_Winter2019_solutions ECSE 222

ECSE 222 – Digital Logic (Winter 2019) Midterm exam Question 1 Question 2 Question 3 Total Question 1 (3 marks) Consider the following logic circuit. Find and mark on the diagram the critical path. What is its length and is it unique? �1 �2 �3 �1 �2 The critical path is unique (i.e., the circuit has only one critical path): YES or NO (circle one) The length of the critical path(s) is: gates. March 13th, 2019 (8:35am – 9:25am) 2/7 SOLUTIONS r g O " This study source was downloaded by from CourseH on 11-15-2022 19:28:31 GMT -06:00 ECSE 222 – Digital Logic (Winter 2019) Midterm exam Question 2 (9 marks) Consider two signed integers x and y that can take only two values: x = ±1 and y = ±1. (a) Briefly explain why we need two bits to represent each of x and y using 2’s complement representation. Let x1 x0 be the 2’s complement representation of x, and y1 y0 be the 2’s complement representation of y.