From 5a788e0eed841e7cbabfa4bc376fa1c4c9410778 Mon Sep 17 00:00:00 2001 From: Alvie Rahman Date: Thu, 2 Mar 2023 12:44:52 +0000 Subject: [PATCH] notes on digital electronics --- .../digital_electronics.md | 126 ++++++++++++++++++ ...xercise Sheet 6 - Digital Electonics 1.pdf | Bin 0 -> 175058 bytes ...xercise Sheet 7 - Digital Electonics 2.pdf | Bin 0 -> 84834 bytes ...ot-2023-03-02T11:20:42,254588604+00:00.png | Bin 0 -> 61979 bytes ...ot-2023-03-02T11:21:28,818484079+00:00.png | Bin 0 -> 32259 bytes ...ot-2023-03-02T11:23:18,428027299+00:00.png | Bin 0 -> 39348 bytes ...ot-2023-03-02T11:27:47,797530860+00:00.png | Bin 0 -> 6109 bytes ...ot-2023-03-02T11:27:56,816525086+00:00.png | Bin 0 -> 9256 bytes ...ot-2023-03-02T11:28:48,754069731+00:00.png | Bin 0 -> 15838 bytes ...ot-2023-03-02T11:33:17,227770085+00:00.png | Bin 0 -> 23177 bytes ...ot-2023-03-02T11:34:46,470336694+00:00.png | Bin 0 -> 25411 bytes ...ot-2023-03-02T11:52:38,262923088+00:00.png | Bin 0 -> 2349 bytes ...ot-2023-03-02T11:58:44,837944047+00:00.png | Bin 0 -> 9680 bytes ...ot-2023-03-02T12:00:50,868501744+00:00.png | Bin 0 -> 4387 bytes ...ot-2023-03-02T12:16:57,368571510+00:00.png | Bin 0 -> 27627 bytes ...ot-2023-03-02T12:30:58,854924598+00:00.png | Bin 0 -> 41278 bytes ...ot-2023-03-02T12:45:54,622443687+00:00.png | Bin 0 -> 5596 bytes ...ot-2023-03-02T12:48:03,763983627+00:00.png | Bin 0 -> 35052 bytes .../lecture_slides/MMME2051EMD_Lecture4.pdf | Bin 0 -> 3083121 bytes .../lecture_slides/MMME2051EMD_Lecture5.pdf | Bin 0 -> 2715343 bytes 20 files changed, 126 insertions(+) create mode 100755 uni/mmme/2051_electromechanical_devices/digital_electronics.md create mode 100644 uni/mmme/2051_electromechanical_devices/exercise_sheets/Exercise Sheet 6 - Digital Electonics 1.pdf create mode 100644 uni/mmme/2051_electromechanical_devices/exercise_sheets/Exercise Sheet 7 - Digital Electonics 2.pdf create mode 100644 uni/mmme/2051_electromechanical_devices/images/vimscrot-2023-03-02T11:20:42,254588604+00:00.png create mode 100644 uni/mmme/2051_electromechanical_devices/images/vimscrot-2023-03-02T11:21:28,818484079+00:00.png create mode 100644 uni/mmme/2051_electromechanical_devices/images/vimscrot-2023-03-02T11:23:18,428027299+00:00.png create mode 100644 uni/mmme/2051_electromechanical_devices/images/vimscrot-2023-03-02T11:27:47,797530860+00:00.png create mode 100644 uni/mmme/2051_electromechanical_devices/images/vimscrot-2023-03-02T11:27:56,816525086+00:00.png create mode 100644 uni/mmme/2051_electromechanical_devices/images/vimscrot-2023-03-02T11:28:48,754069731+00:00.png create mode 100644 uni/mmme/2051_electromechanical_devices/images/vimscrot-2023-03-02T11:33:17,227770085+00:00.png create mode 100644 uni/mmme/2051_electromechanical_devices/images/vimscrot-2023-03-02T11:34:46,470336694+00:00.png create mode 100644 uni/mmme/2051_electromechanical_devices/images/vimscrot-2023-03-02T11:52:38,262923088+00:00.png create mode 100644 uni/mmme/2051_electromechanical_devices/images/vimscrot-2023-03-02T11:58:44,837944047+00:00.png create mode 100644 uni/mmme/2051_electromechanical_devices/images/vimscrot-2023-03-02T12:00:50,868501744+00:00.png create mode 100644 uni/mmme/2051_electromechanical_devices/images/vimscrot-2023-03-02T12:16:57,368571510+00:00.png create mode 100644 uni/mmme/2051_electromechanical_devices/images/vimscrot-2023-03-02T12:30:58,854924598+00:00.png create mode 100644 uni/mmme/2051_electromechanical_devices/images/vimscrot-2023-03-02T12:45:54,622443687+00:00.png create mode 100644 uni/mmme/2051_electromechanical_devices/images/vimscrot-2023-03-02T12:48:03,763983627+00:00.png create mode 100644 uni/mmme/2051_electromechanical_devices/lecture_slides/MMME2051EMD_Lecture4.pdf create mode 100644 uni/mmme/2051_electromechanical_devices/lecture_slides/MMME2051EMD_Lecture5.pdf diff --git a/uni/mmme/2051_electromechanical_devices/digital_electronics.md b/uni/mmme/2051_electromechanical_devices/digital_electronics.md new file mode 100755 index 0000000..c61e7f5 --- /dev/null +++ b/uni/mmme/2051_electromechanical_devices/digital_electronics.md @@ -0,0 +1,126 @@ +--- +author: Akbar Rahman +date: \today +title: MMME2051 // Digital Electronics +tags: [ digital, serial, parallel, encoders, shaft_encoders ] +uuid: 7d355a2f-68c7-4352-a164-7d51006ca137 +lecture_slides: [ ./lecture_slides/MMME2051EMD_Lecture4.pdf, ./lecture_slides/MMME2051EMD_Lecture5.pdf ] +lecture_notes: [] +exercise_sheets: [ ./exercise_sheets/Exercise Sheet 6 - Digital Electonics 1.pdf, ./exercise_sheets/Exercise Sheet 7 - Digital Electonics 2.pdf ] +--- + +
+ + +# Errata + + + +## Lecture Slides 5, p56 + +1. The graph showing values of $O_1$, $O_2$, and $O_3$ are incorrect: + + - $O_3$ should stay low throughout + - $O_2$ should stay low until after the fourth pulse + - $O_1$ should be low until the third pulse, high between third and fourth, and then go back to low + +2. There is no mention that $O_4$ is the most significant bit and $O_1$ the least. + +## Lecture Slides 5, p62-91 + +1. The title should be *Digital-to-Analog Converter (DAC)* + +
+ +# Shaft Encoder + +A shaft encoder can provide angular position, angular speed, and direction. + +![A simple shaft encoder which can only detect speed by using a light source and a light dependent resistor.](./images/vimscrot-2023-03-02T11:20:42,254588604+00:00.png) + + +![A motor position encoder provides the angle of the shaft, allowing the angular velocity to be calculated.](./images/vimscrot-2023-03-02T11:21:28,818484079+00:00.png) + + +![An incremental shaft encoder has a pulse Z which gives speed and outputs A and B can be used to detect the direction of rotation as the pulses are phase shited by a quarter cycle.](./images/vimscrot-2023-03-02T11:23:18,428027299+00:00.png) + +# Memory in Computers + +An OR gate can be used to create a *latch* which will stay high until it is reset: + + +![](./images/vimscrot-2023-03-02T11:27:47,797530860+00:00.png) + +![](./images/vimscrot-2023-03-02T11:27:56,816525086+00:00.png) + +## Set/Reset Latch + +![](./images/vimscrot-2023-03-02T11:28:48,754069731+00:00.png) + +An equivalent circuit can be built by replacing the NOR gates with NAND gates and taking NOTing the +inputs before applying them (lecture 5 slides, p27). + +## Enabling a Latch + +![The outputs of this circuit will remain constant while E is low.](./images/vimscrot-2023-03-02T11:33:17,227770085+00:00.png) + +## Delay Gated Latch + +![](./images/vimscrot-2023-03-02T11:34:46,470336694+00:00.png) + +This latch allows memory to be set/reset without having a reset line. + +# Clock + +A clock signal is a square waveform. +The higher the frequency of the signal, the faster processing can happen. +One step of processing is expected to happen per clock pulse. +A clock pulse is usually considered to be its rising edge: + +![A clock pulse with the rising edge highlighted in blue and the falling edge in red.](./images/vimscrot-2023-03-02T11:52:38,262923088+00:00.png) + +## JK Flip-Flop + +Flip-flops differ from latches mainly by the fact +they are edge triggered (triggered by the edge of the clock pulse, rather than by change in input signals). + +$$Q_\text{next} = J \bar Q + \bar K Q$$ + +Clock | J | K | $Q_\text{next}$ | $\bar Q_\text{next}$ +----- | --- | --- | --- | --- +0 $\rightarrow$ 1 | 0 | 0 | $Q$ | $\bar Q$ +0 $\rightarrow$ 1 | 0 | 1 | 0 | 1 +0 $\rightarrow$ 1 | 1 | 0 | 0 | 0 +0 $\rightarrow$ 1 | 1 | 1 | $\bar Q$ | $Q$ + +![](./images/vimscrot-2023-03-02T12:00:50,868501744+00:00.png) + +## Serial to Parallel Conversion with JK Flip-Flops + +There are [errors](#errata) in lecture slides relating to this section. + +![](./images/vimscrot-2023-03-02T12:16:57,368571510+00:00.png) + +# Digital to Analog Converter (DAC) + +![A 4-bit DAC](./images/vimscrot-2023-03-02T12:30:58,854924598+00:00.png) + +$V_\text{out}$ can be expressed as the following: + +$$V_\text{out} = \sum D_n\frac{1}{2^n}V_\text{max}$$ + +where $D_n$ is 1 for an high input and 0 for a low input. + +The lecture slides go through the circuitry step by step (lecture 5, p62-91). + +# Comparator + +![](./images/vimscrot-2023-03-02T12:45:54,622443687+00:00.png) + +If the positive input is larger than the negative, the output is high. + +# Analog Digital Converter (ADC) + +![](./images/vimscrot-2023-03-02T12:48:03,763983627+00:00.png) + +Explanation in lecture slides (lecture 5, p93-94) and on flash converters (lecture 5, p95). diff --git a/uni/mmme/2051_electromechanical_devices/exercise_sheets/Exercise Sheet 6 - Digital Electonics 1.pdf b/uni/mmme/2051_electromechanical_devices/exercise_sheets/Exercise Sheet 6 - Digital Electonics 1.pdf new file mode 100644 index 0000000000000000000000000000000000000000..2ff0a5913c82ff40e395ea91c855a517ceaadc79 GIT binary patch literal 175058 zcmdSAWmKHm)-{R~2wH*Q?hq)f@Zb)?-Q9va1b24`?gWBc@Zb<2xC9997Th&oL3f|i zIo;>H=e^&(KQ1F<)bmtrUu(~`=G;3Ja>AnYObqPEh!mf|f5?bT#Eir?1{TPOJUl=p zH(O(%kiMh7rHv_2PT$nnftVTmvjR|B-`bSg*qUBUkcJqj=xFa`=%{3GY^-2o<4DZH 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