base change | MathCelebrity Forum

base change

  1. math_celebrity

    A Septonian said that his exact weight is 250.346 pounds (base 7). Translate this into base 10.

    A Septonian said that his exact weight is 250.346 pounds (base 7). Translate this into base 10. Start the conversion: 2 * 7^2 + 5 * 7^1 + 0 * 7^0 + 3 * 1/7 + 4 * (1/7)^2 + 6 * (1/7)^3 2 * 49 + 5 * 7 + 0 * 1 + 3/7 + 4 * 1/49 + 6 * 1/343 98 + 35 + 3/7 + 4/49 + 6/343 133 & 181/343
  2. math_celebrity

    A Septonian won the lottery in the United States and won $1,000,000. How many dollars in that in bas

    A Septonian won the lottery in the United States and won $1,000,000. How many dollars in that in base 7? Using our base change calculator, we get: 1,000,000 in base 7 = 11,333,311
  3. math_celebrity

    In base 10, the number .1111... approaches 1/9. What does .111111 base 2 approach in base 10?

    In base 10, the number .1111... approaches 1/9. What does .111111 base 2 approach in base 10? Base 2 .11111 means: (1/2)^1 + (1/2)^2 + + (1/2)^3 + (1/2)^4 1/2 + 1/4 + 1/8 + 1/16 This approaches 1
  4. math_celebrity

    In base 10 the number 25.12 actually means 20 + 5 + 1/10 + 2/100. What does the base 7 number 25.12

    In base 10 the number 25.12 actually means 20 + 5 + 1/10 + 2/100. What does the base 7 number 25.12 mean? 2 groups of 7 5 groups of 1 1 group of 1/7 2 groups of 1/49 (1/7)^2 14 + 5 + 1/7 + 2/49
  5. math_celebrity

    If a person from Septon at .1 of their cookie, what fraction of the cookie did they eat using base 1

    If a person from Septon at .1 of their cookie, what fraction of the cookie did they eat using base 10 (1/7)^1 = 1/7
  6. math_celebrity

    Is someone has $1,000,000 in base 2, how much money does she have in base 10?

    Is someone has $1,000,000 in base 2, how much money does she have in base 10? 1 is in 7th digit place, so we raise it to the 6th power: 1 * 2^6 = 64
  7. math_celebrity

    A Septon said that he has a collection of 1,000,000 stones in his house. How many stones is that in

    A Septon said that he has a collection of 1,000,000 stones in his house. How many stones is that in base 10? The 1 is in decimal position 7, or 6th power. 1 * 7^6 = 117,649
  8. math_celebrity

    Change the base 10 number 100 into base 5

    Change the base 10 number 100 into base 5 Using our base change calculator, we get: 100 = 400 (Base 5)
  9. math_celebrity

    Change the base 2 number 1000 into base 10

    Change the base 2 number 1000 into base 10 1 * 2^3 + 0 * 2^2 + 0 * 2^1 + 0 * 2^0 8 + 0 + 0 + 0 = 8
  10. math_celebrity

    Change Base 10 number of 25 into base 2

    Change Base 10 number of 25 into base 2 Using our base change calculator, we get: 25 = 11001 (in base 2)
  11. math_celebrity

    What is the base 10 number 100 in base 7?

    What is the base 10 number 100 in base 7? Using our base change calculator, we see that: 100 in base 10 = 202 in base 7
  12. math_celebrity

    How many fingers would you guess a Septon has?

    How many fingers would you guess a Septon has? We have 10 fingers in base 10 So Septons have 7 fingers in base 7
  13. math_celebrity

    A Septon who visited Earth used an Earth scale and found that he weighed 125 pounds. He is horrified

    A Septon who visited Earth used an Earth scale and found that he weighed 125 pounds. He is horrified that he lost so much weight. Translate 125 pounds base 10 into base 7. Using our base change calculator, we see that: 125 = 236 (in base 7)
  14. math_celebrity

    A Septon said that he has 3 eyes. Does that mean he really has 3 eyes in base 10?

    A Septon said that he has 3 eyes. Does that mean he really has 3 eyes in base 10? 3 in base 7 is: 3 * 7^0 = 3 * 1 = 3 So Yes
  15. math_celebrity

    A Septon said that he had 100 rocks. How many rocks does he have in base 10?

    A Septon said that he had 100 rocks. How many rocks does he have in base 10? 100 in base 7 is: 1 * 7^2 + 0 * 7^1 + 0 * 7^0 = 49
Back
Top