2.2 Digital-to-Analog Converter The digital-to-analog converter transforms digital signals into analog form. A typical example of...

  

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2.2 Digital-to-Analog Converter The digital-to-analog converter transforms digital signals into analog form. A typical example of a four-bit DAC can be realized in many ways. A simple realization is the binary weighted ladder, shown in Fig. 5. V1 V2 V3 V4 ww R1 R2 MSB R3- R4 -Vo LSB - + Rf www Rf VA R Rf The bits are weights according to the magnitude of their place value, by descending value of Rf /Rn so that each lesser bit has half the weight of the next higher. And it is obviously an inverting summing amplifier. Thus, Rf · V₁ + -V₂ + V3 + R2 R3 R4 R₁ VO Figure 2 - Four-bit DAC: binary weighted ladder type 3.2 (1) Design a six-bit digital-to-analog converter with binary weighted ladder type like Fig.2; (2) Find the value of R1, R2, R3, R4, R5 and R6, when Rf = 1K; (3) Assume that each input value Vi, i=1,2,...,6, is a binary value {0,1}. If Vo = -1.1875V was designed, what should [V1 V2 V3 V4 V5 V6] be based on your design? 2.2 Digital-to-Analog Converter The digital-to-analog converter transforms digital signals into analog form. A typical example of a four-bit DAC can be realized in many ways. A simple realization is the binary weighted ladder, shown in Fig. 5. V1 V2 V3 V4 ww R1 R2 MSB R3- R4 -Vo LSB - + Rf www Rf VA R Rf The bits are weights according to the magnitude of their place value, by descending value of Rf /Rn so that each lesser bit has half the weight of the next higher. And it is obviously an inverting summing amplifier. Thus, Rf · V₁ + -V₂ + V3 + R2 R3 R4 R₁ VO Figure 2 - Four-bit DAC: binary weighted ladder type 3.2 (1) Design a six-bit digital-to-analog converter with binary weighted ladder type like Fig.2; (2) Find the value of R1, R2, R3, R4, R5 and R6, when Rf = 1K; (3) Assume that each input value Vi, i=1,2,...,6, is a binary value {0,1}. If Vo = -1.1875V was designed, what should [V1 V2 V3 V4 V5 V6] be based on your design?

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