HW 1(1)

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EE/CE3320 Digital Circuits HW 1 Introduction Due Mon 8/28/2023 10 points 1.3 Assume that 0 V is encoded as 00, 1 V as 01, 2 V as 10, and 3 V as 11. You are given a digital encoding of an audio signal as follows: 1111101010010000. Plot the re-created signal with time on the x-axis and voltage on the y-axis. Assume that each encoding’s corresponding voltage should be output for 1 millisecond. 1.6 Encode the following words into bits using the ASCII encoding table in Figure 1.9. a. LET ! b. SET c. $1200 1.8 Convert the following binary numbers to decimal numbers (Show work): a. 100 b. 1011 c. 0000000000001 d. 111111 e. 101010 1.14 Convert the following decimal numbers to binary numbers using the divide-by-2 method: a. 9 b. 15 c. 32 d. 140 1.19 Convert the following binary numbers to hexadecimal: a. 11001101

b. 10100101 c. 11110001 d. 1101101111100 1.21 Convert the following hexadecimal numbers to binary: a. FF b. F0A2 c. 0F100 d. 3E2A e. 101 1.24 Convert the following hexadecimal numbers to decimal (show work): a. FF b. F0A2 c. 0F100 d. 100 2.11 Convert the following English problem statements to Boolean equations. Introduce Boolean variables as needed. a. A flood detector should turn on a pump if water is detected and the system is set to enabled. b. A house energy monitor should sound an alarm if it is night and light is detected inside a room but motion is not detected. c. An irrigation system should open the sprinkler’s water valve if the system is enabled and neither rain nor freezing temperatures are detected. 2.13 Evaluate the Boolean equation F = a AND (b OR c)AND d for the given values of variables a, b, c, and d: a. a=1, b=1, c=0, d=1 b. a=0, b=0, c=0, d=1 c. a=1, b=0, c=0, d=0

d. a=1, b=0, c=1, d=1 2.15 Show the conduction paths and output value of: (a) The NAND gate transistor circuit when: A = 1 and B = 1, (b) The NOR gate transistor circuit when: A = 1 and B = 0. 2.17 Convert each of the following equations directly to gate-level circuits: a. F = ab' + bc' + c b. F = ab + b'cd' c. F = ((a + b') * (c' + d)) + (c + d + e') Verilog: Please watch the following video. It shows you how to install iverilog on Windows. It also shows how to describe and simulate simple digital circuits. https://www.youtube.com/watch?v=vN1wzM0NO4c For macOS you can refer to: https://www.youtube.com/watch?v=jUYkYoYr8hs Consider Problem 2.17 1- For these inputs find the output by hand. a. a=1 b=0 c=1; a=0 b=1 c=0 b. a=1 b=0 c=1 d=0; a=0 b=1 c=0 d=1; a=0 b=0 c=1 d=1 c. a=0 b=1 c=1 d=1 e=0; a=1 b=0 c=0 d=0 e=1; a=0 b=1 c=0 d=0 e=1

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2- Repeat part 1 using Verilog simulation: Provide your code, and an image of your result.

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