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supplemental examples

# supplemental examples - MAE 3113 Analog to Digital...

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School of Mechanical and Aerospace Engineering MAE 3113 3-1 Analog to Digital Conversion Example of Step Size Calculation: 16-bit ± 5 Volt ADC 4-bit ± 5 Volt ADC 8-bit 2 to 5 Volt ADC V 52 1 V 7890625 0.00015258 65536 10 2 ) 5 ( 5 16 μ ε = = - - = V V 25 6 V 0.625 16 10 2 ) 5 ( 5 4 m V = = - - = ε V 11.72 V 0.01172 256 3 2 ) 2 ( 5 8 m V = = - = ε

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School of Mechanical and Aerospace Engineering MAE 3113 3-2 Analog to Digital Conversion Example of Step Size Calculation: 3-bit 0 to 5 Volt ADC mV 625 V 0.625 8 5 2 ) 0 ( 5 3 = = - = V ε 0 1 2 3 4 5 6 7 0 > 0 0.625 1.25 1.875 2.5 3.125 3.75 4.375 4.375 <
School of Mechanical and Aerospace Engineering MAE 3113 3-3 Digital to Analog Conversion Example: 8-bit ± 1 Volt DAC division volts 0.007813 2 ) 1 ( 1 8 = - - = V ε Determine the voltage from output of the ADC given below 1. 25 (0001 1001) ( 29 ( 29 -0.8047V ) 1 ( 25 * 007813 . 0 * = - + = + = bottom v in V STEP V ε 2. 125 (0111 1101 ) ( 29 ( 29 -0.02338V ) 1 ( 125 * 007813 . 0 * = - + = + = bottom v in V STEP V ε 3. 131 (1000 0011) ( 29 ( 29 0.023503V ) 1 ( 131 * 007813 . 0 * = - + = + = bottom v in V STEP V ε

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School of Mechanical and Aerospace Engineering MAE 3113 3-4 Digital to Analog Conversion Example: 8-bit ± 1 Volt DAC 4. 128 (1000 0000) ( 29 ( 29 0V ) 1 ( 128 * 007813 . 0 * = - + = + = bottom v in V STEP V ε 5.
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