HW1_F23 - EGR 2400 (6)

Homework #1 – Num. Sys./Logic Gates/Digital Design Due Date: Thurs. Sept. 21 __________________________________ Name Please attempt all problems below. Half of your grade for this assignment will be based on completion of all problems, the other half of the grade will be based on your score on 2 randomly selected problems. In calculating base conversions containing radix points, do not exceed 7 digits after the radix point. 1. Perform the following number system conversions: a. (467) 8 = (?) 10 ________________________ b. (EC27) 16 = (?) 10 ________________________ c. (412.8) 10 = (?) 2 ________________________ d. (725.24) 10 = ? 8 ________________________

2 | EGR 2400 – HW 1 Num. Sys./Logic Gates Name 2. For the following circuits, complete the truth table. a. b. 3. Write the product-of-sums equation for output Z of the truth table in problem 2.a. and a sum-of-products equation for the Z output in the table in problem 2.b. A B C a b c Z 0 0 0 0 0 1 0 1 0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 1 A B C a b c Z 0 0 0 0 0 1 0 1 0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 1