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Logic Design Homework 1

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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

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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