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+{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Chapter 3 - Analog to Digital Converters & Digital Voltmeters"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 1 - pg 3_5"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Resolution (mV/LSB) = 20.0\n",
+ "digital output voltage (LSBs) = 64.0\n",
+ "Binary equivalent of 64 is 0b1000000\n"
+ ]
+ }
+ ],
+ "source": [
+ "#Chapter-3,Example3_1,pg 3_5\n",
+ "#calculate the Resolution and digital output voltage\n",
+ "#given\n",
+ "n=8\n",
+ "Vifs=5.1\n",
+ "Vi=1.28\n",
+ "#calculations\n",
+ "Res1=2**n\n",
+ "Res2=Vifs/((2**n)-1)\n",
+ "Res=Res2*1000#in mv/LSB\n",
+ "D=Vi/Res2\n",
+ "strin=bin(64)\n",
+ "#results\n",
+ "print\"Resolution (mV/LSB) = \",Res\n",
+ "print\"digital output voltage (LSBs) = \",D\n",
+ "print\"Binary equivalent of 64 is\",strin"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 2 - pg 3_6"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 2,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "quantisation error (mV) = 0.5\n"
+ ]
+ }
+ ],
+ "source": [
+ "#Chapter-3,Example3_2,pg 3_6\n",
+ "#calculate the quantisation error\n",
+ "#given\n",
+ "Vifs=4.095\n",
+ "n=12.\n",
+ "#calculations\n",
+ "Qe=Vifs/(((2**n)-1)*2)\n",
+ "#results\n",
+ "print\"quantisation error (mV) = \",round(Qe*1000.,1)\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 3 - pg 3_10"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 3,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "In case 1, t2 (ms) = 83.33\n",
+ "In case 2, t2 (ms) = 166.66\n"
+ ]
+ }
+ ],
+ "source": [
+ "#Chapter-3,Example3_3,pg 3_10\n",
+ "#calculate the value of t2 in both cases\n",
+ "#given\n",
+ "V1=100.*10**-3\n",
+ "Vr=100.*10**-3\n",
+ "t1=83.33\n",
+ "Vi=200.*10**-3#input voltage\n",
+ "#calculations\n",
+ "t2=(V1/Vr)*t1\n",
+ "t22=(Vi/Vr)*t1\n",
+ "#results\n",
+ "print\"In case 1, t2 (ms) = \",t2\n",
+ "print\"In case 2, t2 (ms) = \",t22\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 4 - pg 3_10"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 4,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "digital output (counts) = 1000.0\n"
+ ]
+ }
+ ],
+ "source": [
+ "#Chapter-3,Example3_4,pg 3_10\n",
+ "#calculate the digital output\n",
+ "#given\n",
+ "fclk=12.*10**3#clock frequency\n",
+ "t1=83.33*10**-3\n",
+ "V1=100.*10**-3\n",
+ "Vr=100.*10**-3\n",
+ "#calculations\n",
+ "D=fclk*t1*(V1/Vr)\n",
+ "#results\n",
+ "print\"digital output (counts) = \",round(D,0)\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 5 - pg 3_13"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 5,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "conversion time (musec) = 9.0\n"
+ ]
+ }
+ ],
+ "source": [
+ "#Chapter-3,Example3_5,pg 3_13\n",
+ "#calculate the conversion time\n",
+ "#given\n",
+ "F=1*10**6\n",
+ "n=8\n",
+ "#calculations\n",
+ "T=1./F\n",
+ "Tc=T*(n+1)\n",
+ "#results\n",
+ "print\"conversion time (musec) = \",Tc*10**6\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 6 - pg 3_15"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 6,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "maximum input frequency (Hz) = 69.08\n"
+ ]
+ }
+ ],
+ "source": [
+ "#Chapter-3,Example3_6,pg 3_15\n",
+ "#calculate the maximum input frequency\n",
+ "import math\n",
+ "#given\n",
+ "Tc=9*10**-6\n",
+ "n=8\n",
+ "#calculations\n",
+ "fmax=1./(2*math.pi*Tc*(2**n))\n",
+ "#results\n",
+ "print\"maximum input frequency (Hz) = \",round(fmax,2)\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 7 - pg 3_37"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 8,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "least diffrence in readings for 50V range (V) = 0.05\n"
+ ]
+ }
+ ],
+ "source": [
+ "#Chapter-3,Example3_7,pg 3_37\n",
+ "#calculate the least difference in readings\n",
+ "#given\n",
+ "n=3.#3 full digits\n",
+ "#calculations\n",
+ "R=1./(10**n)\n",
+ "#for 1V range\n",
+ "Res1=1*R\n",
+ "#for 50V range\n",
+ "Res2=50*R\n",
+ "#results\n",
+ "print\"least diffrence in readings for 50V range (V) = \",Res2\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 8 - pg 3_38"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 10,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "error when reading is 5V (V) = 0.035\n",
+ "percent error when reading is 0.1V (percent) = 10.5\n"
+ ]
+ }
+ ],
+ "source": [
+ "#Chapter-3,Example3_8,pg 3_38\n",
+ "#calculate the percent error \n",
+ "#given\n",
+ "n=3.\n",
+ "#calculations and results\n",
+ "R=1./(10**n)\n",
+ "#for 10V range\n",
+ "R=R*10.\n",
+ "err1=R#1-digit error\n",
+ "#reading is 5V\n",
+ "err=(0.5/100)*5#error due to reading\n",
+ "errt=err1+err#total error\n",
+ "print\"error when reading is 5V (V) = \",errt\n",
+ "\n",
+ "#reading is 0.1V\n",
+ "err=(0.5/100)*0.1#error due to reading\n",
+ "errt=err+err1#total error\n",
+ "errp=(errt/0.1)*100\n",
+ "print\"percent error when reading is 0.1V (percent) = \",errp"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 9 - pg 3_38"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 11,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "senstivity of meter (V) = 1e-06\n"
+ ]
+ }
+ ],
+ "source": [
+ "#Chapter-3,Example3_9,pg 3_38\n",
+ "#calculate the senstivity of meter\n",
+ "#given\n",
+ "n=4.\n",
+ "fsmin=10*10**-3#full scale value on min. range\n",
+ "#calculations\n",
+ "R=1/(10**n)\n",
+ "S=fsmin*R\n",
+ "#results\n",
+ "print\"senstivity of meter (V) = \",S\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 10 - pg 3_39"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 12,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "resolution = 0.0001\n",
+ "12.98 would be displayed as 12.980 for 10V range\n",
+ "\n",
+ "0.6973 would be displayed as 0.6973 for 1V range\n",
+ "\n",
+ "0.6973 would be displayed as 0.697 for 10V range\n",
+ "\n"
+ ]
+ }
+ ],
+ "source": [
+ "#Chapter-3,Example3_10,pg 3_39\n",
+ "#calculate the resolution\n",
+ "#given\n",
+ "n=4.\n",
+ "#calculations\n",
+ "R1=1./(10**n)\n",
+ "#for 10V range\n",
+ "R=10*R1\n",
+ "#results\n",
+ "print \"resolution = \",R1\n",
+ "print\"12.98 would be displayed as 12.980 for 10V range\\n\"\n",
+ "#for 1V range\n",
+ "R=1*R\n",
+ "print\"0.6973 would be displayed as 0.6973 for 1V range\\n\"\n",
+ "#for 10V range\n",
+ "print\"0.6973 would be displayed as 0.697 for 10V range\\n\"\n"
+ ]
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "Python 2",
+ "language": "python",
+ "name": "python2"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 2
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython2",
+ "version": "2.7.9"
+ }
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