@venda
I gave up, Venda, as I am not sure how you label a number that is beyond 675 (I think that is ZZ)
Also not sure why 4 isn't AE, instead of just E
@ponderable saidYou are correct; A=0
OBG?
So we have the Problem that the row starts with A=0 going to z=25
AA is 26 AAA is 726 (26 times AA)
If we distrubute the 1093 in the 26 System we get 33*726+1*26+7 So we have the 33rd letter (O) one run of the Alphabet (B) and the 8th letter of the Alphabet since A=0
AA = 00 not 26
@blood-on-the-tracks saidAE = 04 = 4 = E
@venda
I gave up, Venda, as I am not sure how you label a number that is beyond 675 (I think that is ZZ)
Also not sure why 4 isn't AE, instead of just E
@wolfgang59 said
Was a clue to my puzzle;
D=3
E=4
ED = 107
DE = 82
What equals 10923?
A further clue: Z=25
QED
@wolfgang59 said
And finally;
If I have a circular piece of dough of radius Z and depth A, what is its volume when it comes out the oven?
PIZZA!!! [yum]
@bigdoggproblem saidWell done BigDog.
The answer is indeed
QED
The reason
conversion from base 10 to base 26
A 24 hour digital clock shows each digit using a 7 segment display.The digits 0-9 use 6,2,5,5,4,5,6,3,7,6 segments respectively.Starting from 00:00, how many times a day does the display change but still have the same total number of segments in use?
Good luck.
I don't even understand the question!!
There are no typo's -I've checked it 3 times
@venda saidThis is a 7-segment display:
A 24 hour digital clock shows each digit using a 7 segment display.The digits 0-9 use 6,2,5,5,4,5,6,3,7,6 segments respectively.Starting from 00:00, how many times a day does the display change but still have the same total number of segments in use?
Good luck.
I don't even understand the question!!
There are no typo's -I've checked it 3 times
http://www.mynewsdesk.com/cn/blog_posts/seven-segment-display-operation-by-using-atmega32-and-cd4511b-57730
@venda saidThe segments are the "line segments" that light up to make the digit. You can make every digit from 0-9 from the line segments that are used to make the digit "8".
A 24 hour digital clock shows each digit using a 7 segment display.The digits 0-9 use 6,2,5,5,4,5,6,3,7,6 segments respectively.Starting from 00:00, how many times a day does the display change but still have the same total number of segments in use?
Good luck.
I don't even understand the question!!
There are no typo's -I've checked it 3 times
What I think they mean is how many times there is a change that preserves the number of segments in use prior to it.
00:00 - 24
00:01 - 20
00:02 - 23
00:03 - 23
.
.
.
23:58 - 22
23:59 - 21
24:00 - 21
So either find a pattern, or write a code to check all 24*60 = 1440 instances. That's my take on it.
@venda said
@BigDoggProblem
You have the correct answer.
Well done!!
A 24 hour digital clock shows each digit using a 7 segment display.The digits 0-9 use 6,2,5,5,4,5,6,3,7,6 segments respectively.Starting from 00:00, how many times a day does the display change but still have the same total number of segments in use?
Good luck.
I don't even understand the question!!
There are no typo's -I've checked it 3 times
My solution:
Net change in segments for each possible digit change:
0 to 1: -4
1 to 2: +3
2 to 3: 0
3 to 4: -1
4 to 5: +1
5 to 6: +1
6 to 7: -3
7 to 8: +4
8 to 9: -1
9 to 0: 0
5 to 0: +1 [thanks, Babylonians!]
There are several different types of time change that do not change the total number of segments.
I) the least significant digit changes from 2 to 3
This happens six times every hour [..02 to ..03, ..13 to ..23, ..., ..52 to ..53].
6 x 24 = 144
II) changes involving ...9 to ...0
This causes the tens digit to change also. The only change that works is ..29 to ..30. It happens once per hour.
1 x 24 = 24
III) changes involving ..59 to ..00
There are exactly four that work.
0359 to 0400; 0859 to 0900; 1359 to 1400; 1859 to 1900
Answer: 144 + 24 + 4 = 172
I verified my answer using Python. For those interested in coding: https://repl.it/repls/FloweryChiefResource