Discussion
Which one of the following is correct ?
Answer: D
Convert each number to decimal.
\[ (17)_{16}=1\times 16+7=23 \]
\[ (17)_{8}=1\times 8+7=15 \]
\[ (10111)_{2}=16+4+2+1=23 \]
\[ (10001)_{2}=16+1=17 \]
Only the last equals 17 in decimal, so (17) base 10 equals (10001) base 2. The answer is the fourth option. Another method is repeated division by 2: 17 gives 8 remainder 1, 8 gives 4 remainder 0, 4 gives 2 remainder 0, 2 gives 1 remainder 0 and 1 gives 0 remainder 1, so reading upward gives 10001.
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