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"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
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"outputs": [
{
"name": "stdout",
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"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"
]
}
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