## Description

Ve270 Introduction to Logic Design

Homework 1

The homework should be submitted in hard copies.

1. Fill out the blank spaces, assuming unsigned numbers. Show steps to earn partial credits. (8

points)

1101101.101 2 = ________________10 = ___________________16

78.39 10 = __________________2 = ___________________8 = ____________________3

2. Fill out the blank spaces, assuming 2’s complement numbers. (16 points)

-3310 = __________________________2 = _______________16

3310 = ____________________________2 = ________________16

101101001012 = _______________10

F35816= ____________________________2 = ______________________10

3. Perform the following arithmetic operations step by step, assuming signed numbers: (12

points)

(6FE58C + A3DD) 16 =

(11100 – 10001111) 2 =

(532 – 265) 8 =

4. Problem 2.14 (Boolean equation = logic equation) (4 points)

5. Problem 2.15 (10 points)

6. Problem 2.18 (c) (10 points)

7. Problem 2.22 (10 points)

8. Problem 2.35 (c) (d) (10 points)

9. Build a truth table for the following circuit. (10 points)

10. Given a logic equation F = a’c + b’c’ + ab, draw an output waveform for F based on the

given input waveforms. (10 points)

a

b

c

F

Vdd