How many self descriptive numbers are there?
Table of Contents
How many self descriptive numbers are there?
In different bases
| Base | Self-descriptive numbers (sequence A138480 in the OEIS) | Values in base 10 (sequence A108551 in the OEIS) |
|---|---|---|
| 4 | 1210, 2020 | 100, 136 |
| 5 | 21200 | 1425 |
| 7 | 3211000 | 389305 |
| 8 | 42101000 | 8946176 |
How do you find the self-descriptive number?
A self-descriptive number is an integer n in given base b is b digits long in which each digit at position p (the most significant digit being at position 0 and the least significant at position b – 1) counts how many times a digit p is in n. For example in base 10, 6210001000 is a self descriptive number.
What is the only number that describes itself?
The number 14233221 describes itself; it has one four, two threes, three twos, and two ones.
What is a 10 digit autobiographical number?
The sum of digits of a life story of a life story, CLS2(N), is 10. The number of digits is also 10. Hence, such a number cannot have more than 5 different digits. Therefore, its life story, CLS2(N), has at least 5 zeroes.
What is self descriptive?
Definition of self-descriptive : serving to describe oneself : being or providing a description of oneself … shedding self-consciousness by filling out name tags that included their occupation and a self-descriptive adjective: Laura, banker, scandalous. Tom, sales, adventurous.—
What is autobiography number?
Here is the formal definition: an autobiographical number is a number N such that the first digit of N counts how many zeroes are in N, the second digit counts how many ones are in N and so on. The sum of the digits in an autobiography equals the number of the digits.
What is a self descriptive number?
Self Descriptive Number. A self-descriptive number is an integer n in given base b is b digits long in which each digit at position p (the most significant digit being at position 0 and the least significant at position b – 1) counts how many times a digit p is in n. For example in base 10, 6210001000 is a self descriptive number . Explanation :
What is the base-10 number system?
What is the Base-10 Number System? 1 The Powers of 10. In base-10, each digit of a number can have an integer value ranging from 0 to 9 (10 possibilities) depending on its position. 2 Using Base-10. Let’s look at an example of a large number and use base-10 to determine each digit’s place value. 3 Origin of Base-10. 4 Other Numeral Systems.
What is a self-describing integer?
There are several so-called “self-describing” or ” self-descriptive ” integers. An integer is said to be “self-describing” if it has the property that, when digit positions are labeled 0 to N-1, the digit in each position is equal to the number of times that that digit appears in the number.
What is the range of integer values in base 10?
In base-10, each digit in a position of a number can have an integer value ranging from 0 to 9 (10 possibilities).