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Wordle 895 2/6
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π©π©π©π©π©
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Wordle 895 5/6
β¬β¬π¨π¨π¨
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Dumb 4th guess 
modified 19hrs ago.
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Wordle 895 4/6
π¨β¬β¬π©β¬
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π©π©π©π©π©
Only one yellow π‘.
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Wordle 895 4/6
π¨β¬β¬β¬β¬
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Wordle 895 3/6
π¨β¬β¬β¬β¬
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βThat which can be asserted without evidence, can be dismissed without evidence.β
β Christopher Hitchens
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β¬β¬π¨π¨π¨
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π©π©π©π©π©
In a closed society where everybody's guilty, the only crime is getting caught. In a world of thieves, the only final sin is stupidity. - Hunter S Thompson - RIP
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Wordle 895 3/6
π¨β¬β¬π¨π¨
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Ok, I have had my coffee, so you can all come out now!
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Wordle 895 5/6
β¬π¨π¨β¬π¨
β¬π¨π¨π¨β¬
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Jeremy Falcon
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Wordle 895 5/6
β¬β¬β¬π¨β¬
β¬β¬π¨β¬β¬
β¬π¨β¬π¨β¬
β¬π©π¨π©π©
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#Worldle #678 6/6 (100%)
π©π©π©π©β¬βοΈ
π©π©π©π¨β¬βοΈ
π©π©π©π©β¬βοΈ
π©π©π©π©β¬β¬οΈ
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π©π©π©π©π©π
https://worldle.teuteuf.fr
"A little time, a little trouble, your better day"
Badfinger
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If your goal is to get the following three concepts into the minds of a large group of people...
- Binary Arithmetic
- Boolean Algebra
- Hexadecimal Arithmetic
...In what order would you present the concepts ?
(That list is in alphabetical order to prevent any implied bias)
Why do you feel that your chosen sequence makes more sense than others ?
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Boolean algebra is probably the easiest for people to grasp, as you can use real world examples:
IF it_is_raining
WEAR waterproof
ELSE
WEAR t-shirt
ENDIF
Binary and HEX (or any other base) are especially challenging for people whose mathematical abilies may not be very high. I tried to explain both of those to someone once but they just could not get it.
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I hesitate to post a non-KSS counter-argument to your example.
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Read up on number theory
In a closed society where everybody's guilty, the only crime is getting caught. In a world of thieves, the only final sin is stupidity. - Hunter S Thompson - RIP
modified 18hrs ago.
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Why, I fully understand numbering systems and have done for almost 60 years.
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I wasnβt suggesting you learn it Richard Iβm sure you know it better than most
In a closed society where everybody's guilty, the only crime is getting caught. In a world of thieves, the only final sin is stupidity. - Hunter S Thompson - RIP
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I doubt that is useful.
"Number theory", at best, covers quite a bit more than what was actually asked for. So attempting to answer the original question with that is not a good idea.
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I agree but it gives you some very useful knowledge
In a closed society where everybody's guilty, the only crime is getting caught. In a world of thieves, the only final sin is stupidity. - Hunter S Thompson - RIP
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Base-12 -- with eggs. 12 eggs to a box, 12 boxes to a case...
Just don't grind them up.
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That's just gross.
"One man's wage rise is another man's price increase." - Harold Wilson
"Fireproof doesn't mean the fire will never come. It means when the fire comes that you will be able to withstand it." - Michael Simmons
"You can easily judge the character of a man by how he treats those who can do nothing for him." - James D. Miles
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The order in which they came historically. That would be the preferred logical order, i believe. Will give an opportunity to provide a logical motivation to the next topic.
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Charles Petzold explains these in his fantastic book, Code: The Hidden Language of Computers[^] (now, 2nd updated edition)
Here's a helpful -- and free -- resource from the book --[^] really cool interactive code.
1. He explains Binary first using : 1 if by sea, 2 if by land.
(Yes, he explains that the absence of any lantern (off) would normally indicate a value but since no-light could happen in normal circumstances you have to use 2 lanterns).
He explains the entire on/off concept very clearly.
2. He then introduces George Bool and Boolean algebra
3. Then later he teaches Hex math.
I think his system of building on basics works very well.
if you haven't read his amazing book, I highly suggest it.
Great concepts explained simply.
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+5 for Petzold.
Great book. Also his Annotated Turing.
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Start with decimal notation using fully positional notation as opposed to something like Roman numerals which uses different symbols for powers of 10 but also has some positional rules. Give examples of arithmetic rules.
Then drop to octal, since it's easier to understand using less symbols - counting with just your fingers and not using the thumbs. More arithmetic examples.
Play around with a few other bases - duodecimal (base-12) or sexagesimal (base-60 - hours, minutes, seconds) - finally arriving at hexadecimal. More arithmetic...
Maybe show base-4 or move straight to binary. Show the same arithmetic rules apply even when there's only 2 symbols.
Show that any number in binary representation can be easily rewritten as hexadecimal or octal (and vice-versa) just by grouping/expanding the digits. Mention that, in computing, the term bit is a contraction of binary digit.
Introduce Boolean algebra as a separate topic using English-like examples for AND, OR and NOT.
Somewhere along the way, introduce De Morgan's Law - "NOT (A OR B)" gives the same results as "(NOT A) AND (NOT B)"
Finally, show that if TRUE is one and FALSE is zero, then AND is the same as multiplying in binary and only looking at the last digit and OR is addition.
You can then introduce logic gates and show how to build an adder circuit for 2 single bit numbers with a 2-bit output - least significant bit is OR, most significant/carry is AND but it can all be done with just AND/NOT or OR/NOT, so you only need one 2-input gate and an inverter (NOT).
Etc.
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C-P-User-3 wrote: If your goal is to get the following three concepts into the minds of a large group of people...
Then my goal would be to find a different goal because that isn't going to work.
Certainly I have seen programmers that can't figure even one of those out.
I would not want to try with a group of specialized university mathematics professors.
Perhaps university mathematics students since then still have generalized concepts in their head. But only the ones doing well in their class work.
C-P-User-3 wrote: Boolean Algebra
Not sure about the other two but I remember that this was an entire university semester long class that I took.
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