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10 May, 18:55

A digital-to-analog converter uses a reference voltage of 120 V dc and has eight binary digit precision. In one of the sampling instants, the data contained in the binary register = 01010101. If a zero order hold is used to generate the output signal, determine the voltage level of the signal.

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  1. 10 May, 20:26
    0
    Answer: Vo = 39.84 volts

    Explanation:

    Let Vo to be the voltage level of the signal,

    Therefore,

    Vo = 120{0.5 (0) + 0.25 (1) + 0.125 (0) + 0.0625 (1) + 0.03125 (0)

    + 0.015625 (1) + 0.007812 (0) + 0.003906 (1) }

    Vo = 39.84 volts
  2. 10 May, 20:48
    0
    Given Information:

    Reference voltage = Vr = 120 Volts

    Number of bits = 8

    Required Information:

    Analog voltage at 01010101 = V = ?

    Answer:

    V = 39.84372 Volts

    Explanation:

    Binary Register: 0 1 0 1 0 1 0 1

    V = Vr*[ 2⁻¹ (0) + 2⁻² (1) + 2⁻³ (0) + 2⁻⁴ (1) + 2⁻⁵ (0) + 2⁻⁶ (1) + 2⁻⁷ (0) + 2⁻⁸ (1) ]

    V = 120*[ 0.5 (0) + 0.25 (1) + 0.125 (0) + 0.0625 (1) + 0.03125 (0) + 0.015625 (1) + 0.007812 (0) + 0.003906 (1) ]

    V = 120*[ 0.25 + 0.0625 + 0.015625 + 0.003906]

    V = 120*[ 0.332031]

    V = 39.84372 Volts

    Therefore, the analog voltage corresponding to binary register 01010101 is 39.84372 Volts
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