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## #1 2013-01-27 09:12:19

n872yt3r
Member
Registered: 2013-01-21
Posts: 392

### MIF Hex-Dec-Bin Patterns

I was looking on the Math Is Fun Hexadecimal-Decimal-Binary translator (look for the link on A Nice Clock) and I found these calculations.

101010101010101010101010101010101010101010 in Binary is 2AAAAAAAAAA in Hexadecimal, and 2932031007402 in Decimal.

111111111111111111111111111111111111111111 in Binary is 3FFFFFFFFFF in Hexadecimal, 4398046511103 in Decimal.

99999999999999999999999999999999999999999999999 in Decimal is 1000110000100001001111011001110110100101000000101101111001000101010001010010011011110100001000101100110000110011111111111111111111111111111111111111111111111 in Binary, and 118427B3B4A05BC8A8A4DE8459867FFFFFFFFFFF in Hexadecimal.

1000000000000000000000000000000000000000 in Decimal is 1011110000010100001111111010010011100010010100001110101100110001000101111101100101010101101000000000000000000000000000000000000000 in Binary, and 2F050FE938943ACC45F65568000000000 in Hexadecimal.

AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA in Hexadecimal is 3629678580490010276942662479272194255530 in Decimal.

1111111111111111111111111111111111111 in Hexadecimal is 23787461545099331350971432824158252273045777 in Decimal, and 1000100010001000100010001000100010001000100010001000100010001000100010001000100010001000100010001000100010001000100010001000100010001000100010001 in Binary.

9999999999999999999999999999999999999 in Hexadecimal is 1001100110011001100110011001100110011001100110011001100110011001100110011001100110011001100110011001100110011001100110011001100110011001100110011001 in Binary; and 214087153905893982158742895417424270457411993.

- n872yt3r
Math Is Fun Rocks!
By the power of the exponent, I square and cube you!

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## #2 2013-01-27 10:32:26

bob bundy
Moderator
Registered: 2010-06-20
Posts: 7,708

### Re: MIF Hex-Dec-Bin Patterns

hi n872yt3r

Ok, so here's a challenge for you.

Why do the binary and hex make interesting repeat patterns which the decimal versions don't share?

Bob

Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei

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