Discussion
The accuracy of the floating-point numbers representable in two 16-bit words of a computer is approximately
Answer: B
Correct answer: 6 digits
Two 16-bit words give 32 bits, of which the standard single-precision format uses 24 for the significand (23 stored plus one implied). Since
\[ 2^{24} \approx 1.7 \times 10^{7} \]that is worth about 7 decimal digits, of which 6 can be relied on. Doubling the storage to 64 bits raises it to roughly 15.
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