Why Oct. 31 Equals Dec. 25 in Hexadecimal
by Sven Heinicke

When do the "Ho, ho, ho" and the ghosts and ghouls come into this?

One hexadecimal number represents four binary digits. But sometimes a number that represents three binary digits is used. This is called base 8, or octal numbers. Octal is sometimes abbreviated oct.

Octal Values
Oct 0 1 2 3 4 5 6 7
Bin 000 001 010 011 100 101 110 111

The symbols 8 and 9 aren't used in the base 8 system. Instead, we skip to oct 10 after oct 7. Now this may seem a little confusing, but oct 10 is actually equal to dec 8, and oct 11 represents the decimal value 9.

Using the above chart, the number oct 31 can be converted to bin 011001, and then converted to decimal:

Or you can convert octal straight to decimal:

So oct 31 is equal to dec 25, get it? Octal 31 has the same value as decimal 25. Both octal and October are abbreviated as oct and both December and decimal are abbreviated as dec. October 31 is Halloween and December 25 is Christmas. Ha ha!

He he?

Ho ho.

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