# Tagged Questions

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### Why 5.8 (decimal) is 101.11001100… (binary)?

I would like to know why 5.8, in decimal 101.11001100..., in binary, a recurring decimal?
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### Convert HEX to BIN

How to convert the number $fada.cafe_{16}$ to binary? I used Wolfram understand it, but when I type $fada.cafe_{16}$, it changes to $fada.cafdfffffd..._{16}$. Why that?
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### Help with natural number problems

Suppose that $\mathbb{F}$ is an ordered field with identities $0$ and $1^{\star}$ (in this problem, $1 \in \mathbb{N}$ ) Define inductively $f: \mathbb{N} \rightarrow \mathbb{F}$ by: f(1) = ...
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### Converting Base 16 digits to base 2 and 10 - Analysis Question

With base $16$, the digits are denoted as $0, 1,\ldots, 9, A,\ldots, F$. Let $n = AB_3$. Rewrite $n$ with bases $10$, $2$. I have no clue what this question means and how I should attempt to do this. ...
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### Complement Calculations - Why do I get different answers with ones' and twos' complement?

I am finishing an assignment related to complement calculations. The question is as follows: ...
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### Mathematical Systems Question Help

Alright, this is another question for my math for teachers course. This question is not actually in the homework, but there are problems similar to it. I'd really like to learn how to do problems like ...
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### Is Multiplication A System?

I don't understand how to identify the properties of a system. What possible properties could a system have? Are a certain number of properties required in order to be classified as a system? The ...
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### Numerology and the possible combinations

I was looking into numerology and it's pretty interesting to see how your name and birthdate are broken down into numbers and the categories that are used to assign numbers to them. My breakdown is ...
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### Base 2 for 2010

To express 2010 in base 2, we use exactly 8 ones and 3 zeros. Find the next two integers in base 2 that use the same number of ones and zeros.
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### DUODEC to BIN, OCT, DEC problem

I am a new student of basic Mathematics and I am learning number systems, so this is a basic question. This exercise gives me the following duodecimal number: 9AX (where A=11, X=10) And it requires ...
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### Representation of Number in hexal system

A number written as 213 in quadral system (number system with base 4) will be represented in hexal system (number system with base 6) as (A) 23 (B) 39 (C) 103 (D) 303
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### Single precision numbers and double precision numbers

I just came across this in my work and find it rather baffling: ...
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### Exponent e of 5 bits alias 16

I was reading my notes and came across the following ...
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### Converting decimal number to a hexadecimal number

I'm trying to represent the number 12.25 in various bases. So without normalizing: For Binary: ...
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### How many even numbers between 10,000 and 20,000 have distinct digits?

This is a combinatorics problem I must solve: How many even numbers between 10,000 and 20,000 have distinct digits(i.e no repetitions)? Is the way I solved it correct? I put for lines for ...
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### convert fractions from one base to another using repeated multiplications

I have to convert a number that looks like this 254.3212 base 6 to base 3. Now I can manage the decimal part (254) but I'm having trouble with the fraction (3212). How do I convert the fractional part ...
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### Convert numbers from one base to another using repeated divisions.

I have a homework assignment for my programming class to implement an algorithm that can convert from bases 2 trough 16 to any other base from 2 trough 16 but with a few twists. What I need to ...
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### Problem in converting from hex to dec

I understand that unsigned representation does not have negative numbers but I am stuck with a question, I have to convert B which is a ...
538 views

### Stuck with IEEE-754 format (binary to decimal conversion)

I am stuck with a problem, Now here is the formula applied to a question, The red colored bits show the exponent(e) while, the yellow bits are fraction (f). Now I am confused with how did the ...