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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.

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

Bob

Administrator

Registered: 2010-06-20

Posts: 10,623

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

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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
Sometimes I deliberately make mistakes, just to test you!  …………….Bob