Discussion
Assertion (A) : R-2R ladder type D/A converter has a higher speed of conversion than a weighted resistance D/A converter.
Reason (R) : R-2R ladder type D/A converter uses a smaller number of components than the weighted resistance D/A converter.
Answer: C
The keyed answer is (A) true and (R) false. An R-2R ladder D/A converter is faster than a weighted-resistor converter, because it needs only two resistor values and so avoids the very large resistance ratios that slow the weighted network, which makes (A) true. But for n bits the ladder needs 2n resistors against n for the weighted-resistor network, so it does not use a smaller number of components, and (R) is false. Options that call (R) true, or (A) false, are therefore wrong, and option C is the keyed one.
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