Bits, bytes

Calculate how many different numbers can be encoded in 16-bit binary word?

Result

n =  65536

Solution:

n=216=65536n = {2}^{ 16} = 65536

Try another example


Our examples were largely sent or created by pupils and students themselves. Therefore, we would be pleased if you could send us any errors you found, spelling mistakes, or rephasing the example. Thank you!





Leave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...):

Showing 0 comments:
1st comment
Be the first to comment!
avatar




Tips to related online calculators
See also our variations calculator.
Would you like to compute count of combinations?

Following knowledge from mathematics are needed to solve this word math problem:

Next similar math problems:

  1. Morse alphabet
    morse_code Calculate how many words of Morse code to create compiling commas and dots in the words of one to six characters.
  2. Lock
    combination-lock A combination lock will open when the right choice of 3 numbers (from 1 to 16 inclusive) is selected. A. How many different lock combinations are possible? B. Is the combination lock named appropriately?
  3. Cars plates
    car_plate How many different licence plates can country have, given that they use 3 letters followed by 3 digits?
  4. PIN - codes
    pin How many five-digit PIN - code can we create using the even numbers?
  5. Area codes
    us_codes How many 6 digit area codes are possible if the first number can't be zero?
  6. Metals
    metals_2 In the Hockey World Cup play eight teams, determine how many ways can they win gold, silver and bronze medals.
  7. Medals
    medails In how many ways can be divided gold, silver and bronze medal among 21 contestant?
  8. Football league
    football In the 5th football league is 10 teams. How many ways can be filled first, second and third place?
  9. Olympics metals
    olympics In how many ways can be win six athletes medal positions in the Olympics? Metal color matters.
  10. Coin and die
    die Flip a coin and then roll a six-sided die. How many possible combinations are there?
  11. Practice
    telocvik How many ways can you place 20 pupils in a row when starting on practice?
  12. Friends in cinema
    cinema_1 5 friends went to the cinema. How many possible ways can sit in a row, if one of them wants to sit in the middle and the remaining's place does not matter?
  13. Task of the year
    years Determine the number of integers from 1 to 106 with ending four digits 2006.
  14. Theorem prove
    thales_1 We want to prove the sentence: If the natural number n is divisible by six, then n is divisible by three. From what assumption we started?
  15. Variations
    pantagram Determine the number of items when the count of variations of fourth class without repeating is 42 times larger than the count of variations of third class without repetition.
  16. One half
    one_half One half of ? is: ?
  17. Powers
    1power Express the expression ? as the n-th power of the base 10.