Base systems like binary and hexadecimal seem a bit strange at first. The key is understanding how different systems "tick over" like an odometer when they are full. Base 10, our decimal system, "ticks over" when it gets 10 items, creating a new digit. We wait 60 seconds before "ticking over" to a new minute. Hex and binary are similar, but tick over every 16 and 2 items, respectively. Try converting numbers to hex and binary here:

Question

Mathematics

Keith Joyce

10 July, 05:17

Base systems like binary and hexadecimal seem a bit strange at first. The key is understanding how different systems "tick over" like an odometer when they are full. Base 10, our decimal system, "ticks over" when it gets 10 items, creating a new digit. We wait 60 seconds before "ticking over" to a new minute. Hex and binary are similar, but tick over every 16 and 2 items, respectively. Try converting numbers to hex and binary here:

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Answers (1)

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Rose Sexton · Answer 1

Explained in detail Below.

Step-by-step explanation:

Let's look at first the decimal (base 10).

0 1 2 3 4 5 6 7 8 9 ... numbers are exhausted. 10 (note we take 1 and repeat the process) 11 12 13 14 15 16 17 18 19 ... 20 (note again we take 2 and repeat the process) 21 22 23 24 25 26 27 28 29 ... 30 (again the process continues with 3 and goes on) ...

No we apply similar process with Binary numbers (Base 2).

0 1 ... (Numbers are exhausted) ... 10 11 (We repeat the process) 100 101 110 111 (and it continues) 1 000 1001 1010.

And the same process can be applied to the Hexa-decimal numbers (Base 16).

0 1 2 3 4 5 6 7 8 9 (Note! 10 is A Because numbers are not exhausted) A B C D E F. (0 to F).

after f there are no more numbers, the 10 11 12 13 14 15 16 17 18 19 1A 1B 1C 1D 1E 1F ... and the process continues.