Reading Assignment: Hexadecimal Numbers

[carlosalv098]

1. hexadecimal = 16 digits
   decimal 10 digits

2. A, B, C, D, E and F.

3. They are the same.

4. 22

[Madlearner]

[quote=“filip, post:1, topic:7913”]

• What is the difference between hexadecimal and decimal numbers?
  Hexadecimal uses 16 unique digits and decimal uses 10 common digits.

• Which are the extra “digits” we get in hexadecimal?
  ABCDEF

• What is the difference between using lower case or upper case letters?
  None.

• What is hexadecimal for 34?
  Is 22.

[CC123]

1. Decimal uses 10 digits and hexa uses 16.
2. abcdef
3. Nothing
4. 22

[markyb]

1. Hexadecimal is base 16, decimal is base 10.

2. The extra digits are the letters; a, b, c, d, e, f.

3. There is no difference between upper and lower case letters.

4. Hexidecimal for 34 is 22.

[lxndr]

Hexadecimal Numbers ₁₆

1. What is the difference between hexadecimal and decimal numbers?
   Decimal numbers are based on a set of 10 unique symbols that can express arbitrarily big numbers. This is done by adding another digit to the left whenever the count of the leftmost digit exceeds the number of forms it can take (i.e. 0-9 for base 10 = decimal numbers).
   The mechanism works the same for hexadecimal numbers with the difference that each digit can take 16 different shapes instead of 10 (in case of decimal) or just 2 (in case of binary).
   In fact, there is an infinite amount of numbers you can base your counting system on. A smaller base leads to longer numbers (when flipping points are surpassed) but uses fewer variations of digits:
   F₁₆ = 15₁₀ = 1111₂
   7B₁₆ = 123₁₀ = 1111011₂

2. Which are the extra “digits” we get in hexadecimal?
   In addition to the “common numerical” digits (0-9) we use the first 6 letters of the alphabet (A-F) to reach a total of 16 different values every digit can represent.

3. What is the difference between using lower case or upper case letters?
   The casing of the letters does not convey any difference in meaning/value. There is no generally established convention that would go beyond tradition or best practice.

4. What is hexadecimal for 34?
   34₁₀ = 22₁₆

[lxndr]

I really like your tangent here
Your idea is supported by the fact that digit is the latin word for finger.

[Alko89]

Interesting. I didn’t know that. In history other base systems were used as well. I think Mezopotamians used base 12 system that has advantages in being better divisible - you can half 12 to get 6 and 6 to get 3, while base 10 can only be halved once. You can also count to 12 on one hand:

[lxndr]

Interesting indeed! I never looked at my finger joints like that. Base 12 seems to be deeply rooted in our societies, reaching from astrology to time telling and measurements like a dozen.
I’m also trying to teach my kid how to count to 255 with only 8 fingers (and the thumb to mark 0/1 on each of those digits).
I wasn’t big on math in school but these kinds of things have sparked my interest as an adult.
Have fun counting and see you around!

[serafin]

2. Which are the extra “digits” we get in hexadecimal?
   A, B, C, D, E, F
3. What is the difference between using lower case or upper case letters?
   There is no difference between upper and the lower case.
4. What is hexadecimal for 34? (Use your head!)
   Apparently 34 is 22in hexadecimal - I can’t wrap my head around this;/

[Alko89]

I don’t know the exact formula, but it goes something like this, you can use it to convert from any base system into decimal. From 16 for example:

You take a digit and multiply by its base to the power of its position (starting with 0 from the right), so 22 would equal 2 * 16^1 + 2 * 16^0 = 34

Doing it in reverse is a bit more complicated because you need to root these numbers but I found a good visualization:
https://www.mathwarehouse.com/non-decimal-bases/how-to-convert-from-base-10-to-other-bases.php
Hope it helps

[crypto_wendell]

1. Decimal numbers are known as Base 10 and have 10 digits (0-9) to represent numbers. Hexadecimal numbers are known as Base 16 and have 16 values (0-9 and A-F) to represent numbers.

2. The extra "digits in hexadecimal are A-F

3. There is no difference in using upper or lower case letters for hexadecimal numbers.

Hexadecimal for 34 is 22.

[biffen96]

What is the difference between hexadecimal and decimal numbers?
HEX is a system that uses a base-16 in stead of base-10 number system.
base-10 uses numbers from 0-9
base-16 uses numbers from 0-9 and then A - F

Which are the extra “digits” we get in hexadecimal?
A-F

What is the difference between using lower case or upper case letters?
There is no difference. There is not standard. The are interchangeable

What is hexadecimal for 34?
22

[leemac]

1. Decimal is base 10 whereas hexadecimal is base 16

2. A, B, C, D, E, F

3. There isn’t any difference between lower and upper case

4. 22

[ryan9632]

1. What is the difference between hexadecimal and decimal numbers?
   Hexadecimal has 16 base digits instead of 10. It allows you to express big numbers with fewer digits.
2. Which are the extra “digits” we get in hexadecimal?
   Normally the digits are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9
   In hexidecimal the digits are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F
3. What is the difference between using lower case or upper case letters?
   In hexidecimal, there is no difference between upper case and lower case letters.
4. What is hexadecimal for 34?
   22

[muradawad]

1. hexadecimal 16 digits: ( 0,1,2,3,4,5,6,7,8,9,A,B,C,D,E,F)
   decimal 10 digits: (0,1,2,3,4,5,6,7,8,9)

2. A,B,C,D,E,F

3. No difference

4. 22

[camarosan]

1. What is the difference between hexadecimal and decimal numbers?
   decimal are base 10 (0-9) , hexadeximal are base 16(0-9 A-F)
2. Which are the extra “digits” we get in hexadecimal?
   A,B,C,D,E,F.
3. What is the difference between using lower case or upper case letters?
   for hexadeximal there is no problem example AF = af
4. What is hexadecimal for 34?
   I always prefer pass first to binary is very easy on this way
   34(10)= 0010 0010(2) = 22(16)

[George]

1. What is the difference between hexadecimal and decimal numbers?
   Hexadecimal has in addition to numbers 0-9, the ‘numbers’ A-F added, so there are 16 basic numbers in total.
2. Which are the extra “digits” we get in hexadecimal?
   a b c d e f
3. What is the difference between using lower case or upper case letters?
   no difference
4. What is hexadecimal for 34?
   22

[CryptoYoga]

1. What is the difference between hexadecimal and decimal numbers?
The difference between hexadecimal and decimal numbers is as follows:

• Decimal is base of 10 (from 0-9)
• Hexadecimal is base of 16 (0-15 or 0-9 + A,B,C,D,E, and F)

2. Which are the extra “digits” we get in hexadecimal?
The extra digits of A,B,C,D,E, and F correspond to 10,11,12,13,14, and 15 respectively.

3. What is the difference between using lower case or upper case letters?
There is no difference between using lower or upper case. It is not case sensitive.

4. What is hexadecimal for 34? (Use your head!)
The hexadecimal number for 34 is 22.

[cincinnato]

1. What is the difference between hexadecimal and decimal numbers?
Basically they are two different ways to express the same conceptual number.

2. Which are the extra “digits” we get in hexadecimal?
A, B, C, D, E, F meaning in decimal 10, 11, 12, 13, 14 and 15

3. What is the difference between using lower case or upper case letters?
Exadecimal is not case-sensitive, so there is no difference to use lower case or upper case

4. What is hexadecimal for 34? (Use your head!)
22 → It might be written also 0x22 or in few other ways

[Aiisnotbad]

• What is the difference between hexadecimal and decimal numbers?
  These are two different system to represent values. One if based on 10 different digits, the other is based on 16 digits.

• Which are the extra “digits” we get in hexadecimal?
  ABCDEF

• What is the difference between using lower case or upper case letters?
  No difference.

• What is hexadecimal for 34?
  22