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Convert the number $1982$ from base $10$ to base $12.$ The result is

  1. $1182$
  2. $1912$
  3. $1192$
  4. $1292$
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4 Answers

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Answer -1192

To convert an integer to base b, divide it by b. The remainder is the ones place.

convert 1982 to base 12 ,first 1982 divide by 12 that gives quotient –  165 and remainder-  2 So the number ends in a 2

again previous quotient  divide by base 12 , 165 divide by 12 that gives quotient –  13 and remainder-  9 So the number ends in a 92

again previous quotient  divide by base 12 , 13 divide by 12 that gives quotient –  1 and remainder-  1 So the number ends in a 192

Finally, 1 is less than 12 so its representation is just 1,

so result is 1192
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To convert $(1982)_{10}$ to base -12:

$(1982)_{10}\rightarrow (1192)_{12}$

Option (C) is correct.

Answer:

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