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In numbering systems greater than decimal (base 10), we use the lowercase letters of the alphabet, in order, to delineate values greater than 9 in a single place. Thus an "a" means that there are 10 of that place value, a "b" means 11, etc.

This is the equivalent of 11 * (12^2) + 11 * (12^1) + 11 * (12^0)

= (11)(144) + (11)(12) + (11) (1)

= 1584 + 132 + 11

= 1727 (base 10)

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Q: What is the greatest 3 digit number in base twelve?
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What is the largest three-digit number base four?

The greatest value a digit can have in base for is 3. Thus the largest three-digit number in base for would be 333. In base 10, this number is 3x16 + 3x4 + 3 = 63 Therefore 63 is the largest digit that would be three digits in base 4.


How many 4 digit numbers are there?

In base ten, there are 9000 four digit number, the numbers are from 1000 to 9999. If you allow leading zeros, then there are 10000 numbers. [0000 - 9999]


What is the highest digit that can be used in each place value?

In the decimal number system, the highest valued digit is 9. The highest digit that ever appears in any one 'place' of a number is one less than the 'base' of the number. The numbers that everyone is most familiar with ... the numbers you see around you every day ... are numbers written in the 'decimal' system, using the 'base' of 10. So the highest digit in any one place is 9. 'Binary' numbers ... the form most used to represent numbers inside digital circuits and computers ... are constructed in base 2. So the highest digit in any one place is 1, and each of these numbers is just a string of 1's and zeros. Digits can be even higher than 9 in number systems that use other bases. For example, the hexadecimal system (often used in computer science to represent binary numbers) is base 16, so in that case the highest valued digit is "F" which has a value equivalent to 15 in a decimal representation. As an example, the number "FA" hexadecimal, has decimal value 15*16 + 10 = 250.


How many three-digit numbers are there in base 4?

If you allow leading zeros, then 4*4*4 = 64 If you don't allow leading zeros, then 3*4*4 = 48 (the numbers from decimal 16 to 63)


How many different telephone numbers of 7 digits can be formed if the first cannot be zero?

There are a number of issues with this question. Phone numbers are limited to more than just the first number not being 0. What about 9-1-1? What about 4-1-1, or 5-1-1, or 3-1-1? What about 1-Area-Number? What about 1-0-Carrier-country-1-city-number? What about the fact that some exchanges do not permit a 0 or a 1 as the second digit of the number? What about the fact that the sum of the first and third digits are constrained to not be certain sums? (The last two rules are to prevent older rule-base auto-long-distance dialing detection logic from misdetecting an area code.) What about constraints on the last four digits.With that said, and with only the constraints imposed by the question, i.e. ignoring these other known constraints, there are 9,000,000 different phone numbers in one exchange.

Related questions

What is the greatest three digit number for base twelve?

BBB, which is 123-1 = 1728-1 = 1727 in base 10.


What is the greatest three digit number in base 3?

222


What is the greatest three digit number in base three?

999.


What is the greatest 5- digit number?

You have to specify the base. For example, in base-16, otherwise known as hexadecimal or hex, the greatest 5 digit number is FFFFF.


What is the largest three-digit number base four?

The greatest value a digit can have in base for is 3. Thus the largest three-digit number in base for would be 333. In base 10, this number is 3x16 + 3x4 + 3 = 63 Therefore 63 is the largest digit that would be three digits in base 4.


What is the greatest 3 digit number in base two?

1112 which, in decimal, is 7


What is the greatest three digit number in base 12?

BBB which, in decimal, is equal to 1727 (= 123 - 1)


Can you represent an eight digit number with a five digit number?

Not in a way that would be generally understood. However, it is possible. An 8-digit number in base 10 can be represented by a 5-digit number in base 32. For example, extending the scheme for labeling digits for base 32, VVVVV32 = 3355443110 Similarly, the 8-digit number 33333333 in base 4 is the 5-digit number 65535 in base 10


What is the largest 4 digit number in base 8?

The largest 4 digit number in base 8 is 77778 (= 409510).


Why are measurement systems that are based on powers of ten easier for people to use?

most people are born with ten fingers. truly, if they all had six per finger we'd likely be using base 12, or a twelve digit number system. most people are born with ten fingers. truly, if they all had six per finger we'd likely be using base 12, or a twelve digit number system.


What is the largest 3 digit number in base three?

The largest 3-digit number in base 3 is 222. Its decimal equivalent is 26


What is the 11432 4 digit?

11432 is a 5-digit number. Without changing base, it cannot be expressed as a 4-digit number.