# Questions tagged [number-systems]

Representations of numeric values in decimal, binary, octal, hexadecimal, and other bases; one's-complement and two's-complement signed numbers; scientific notation; floating-point numbers in digital computers; history of number systems; nonstandard number systems; algorithms for arithmetic within specific number systems or for conversions between number systems.

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### Decimal to base 1

Explain why base 1 radial expansions are impossible. I think If b is a natural number greater than 1, to write the abbreviated base b radial expansion the number of symbols required is b. For example, ...
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### Are there any obvious flaws to representing relative factorials of each hyperoperation this way?

Note: I use the term Hyperfactorial (relative factorial) differently than used by wikipedia and wolfram. These sources use the term to describe what I am describing here as exactly (and only) the ...
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### How does shifting a binary number to the left translate to its hexadecimal representation?

So I have a binary output that is represented in Hex that I need to format it's binary representation in a certain way. Say I have a binary output of: 000110111001 or 0x01B9 in HEX. I want to add 1 ...
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### Is there a simple test for divisibility by seventeen in base-twelve? [duplicate]

I am investigating math in the dozenal (a.k.a. duodecimal, base-twelve) system. As part of this, I am compiling a list of tests for divisibility. (All numbers in this post are dozenal, not decimal, ...
• 751
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### Is there a simple test for divisibility by sixteen in base-twelve?

I am investigating math in the dozenal (a.k.a. duodecimal, base-twelve) system. As part of this, I am compiling a list of tests for divisibility. (All numbers in this post are dozenal, not decimal, ...
• 751
45 views

### Finding all numbers such that this algorithm calculates their square

A relative of mine found an algorithm on TikTok that could supposedly calculate the square of any two digit number. The number 35 was used as an example, so I shall use it to explain how it works: ...
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### Multiplicative inverse of a non-zero element "a" belongs to integers [closed]

Multiplicative inverse of a non-zero element a ∈ Z is _______. 1 -a 1/a Not defined I have search about this and found two references Reference 1 and Reference 2 and their answers are 3 and 4 ...
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### How do you convert from 10s complement to SIGNED decimal?

A bit confused. I am preparing for an exam and one of the practice problems asks us to convert from 10s complement to signed decimal. Attached is the answer to the table: Table As far as I'm aware and ...
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