And you know that he probably does, too.

**HAPPY NEW YEAR!**

The new year, 2015, brings some interesting numbers when converted into other bases. Granted, I find most numbers interesting in some way, but these still have interesting features.

In **base 2** *(binary)*, we have a palindrome; it's the same backward. The 0 in the middle means that we are 32 years away from all 1s and 33 away from rolling over the counter and adding another digit.

In **base 3** *(trinary)*, the number can be broken down into 2 20 21 22, which is somewhat sequential.

In **base 4** *(tetranary(?), ah skip it!)*, which is related to base 2 by virtue of being a power of 2, we get 133 133. It's not the palindrome that base 2 is; it's something more fun!

I don't have much to say about bases 5, 6, or 7. They have pairs of numbers, but that's hardly surprising. Two of them look like zip codes, so I checked: 31030 is **Fort Valley, Georgia** and 13155 in an area of upstate **New York**, south of **Syracuse**. (I thought it might be a section of Queens, in New York City, which is why I checked. Nope.) Last year, base 5 was 31024, which had all five available numbers in it, but we're a year too late for that.

In **base 8** *(octal)*, another power of 2, we get another repetition: 3737. Wonderful.

In **base 9**, meh. I hope everyone could figure out what **base 10** was, so I skipped it. **Base 11** likewise is boring as no alphabetic characters were required to substitute for numbers greater than 9.

In **base 12**, it gets interesting. While 12 is a multiple of 2, it isn't a power of 2. Using alphabetic characters, it's **11BB**, but the "B" is a stand in for 11, so it's actually *1,1,11,11*. Practically binary! (But it's not.) Note: in bases larger than 10, such as **Sexagesimal**, it is common to write the numbers in decimal form (no letters) and separate the powers with commas.

In **base 13**, we have 11, 12, 0 because the year is divisible by 13. Last year was 11, 11, 12. The year before 11, 11, 11. (You see: there's always *something* to be found!)

Finishing up, in **base 14**, 10 and 3 make 13. And we end with snoozy **bases 15 and 16** (*hexadecimal*), which aren't all that interesting this year, although next year is 7E0 or 7, 14, 0. Something to look forward to!

## 2 comments:

You missed out a 1 at the end of the binary representation.

Thanks. It's been noted. The rush to make a comic on New Year's Eve, the proofreading suffered.

I knew it should've been a palindrome, but couldn't fix it at 1 am.

Will be fixed in the morning.

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