Wiki Menu
Home
Pix
Get Hoversnap
Use Hoversnap
Survey
Puzzles
Doodles
3 Ladies
3 Prisoners
CSG
AlphaSets
Subsets
Match Sets
Pizza Test
Truth Tables
Conditionals
16 Tables
Validity
Arguments
Pipe Game
Water Logic
Adder
Carry In
Carry Out
8-Car Adder
Number Bases
ASCII
Codes
RSA
Sequences
Staircase
Counting
ScrabbleGrams
Anagrams
Dupligrams
Amalgams
Powerball
Birthdays
Dice Rolls
BlackJack
Coin Flip
Triangle Tree
Number Bases |
|
NUMBER SYSTEMS 
As LooLooLos emigrated to other nations, expanding their pizza franchise throughout the world, they had to learn new numbering systems. Moreover, they had to convert their numbers to the numbering system of their adopted nation. Below are various ways civilizations throughout history would have written the year 2006. 
If we truly understand our decimal system, the LooLooLo binary system is easy. Theirs is a power system also, but theirs is based on powers of TWO. LooLooLos found it simple to convert their binary notation into our decimal notation. Reading from right to left: multiply the digit on the far right by 1, multiply the digit left of it by 2, multiply the digit left of it by 4, and so on by powers of two till the far left digit. Then we add up all our multiplications, and the result is our number. If we add this sum using decimal notation, we will convert a number written in binary to its decimal equivalent. Here is how LooLooLos convert 2006 from binary to decimal: 
=1024+512+256+128+64+0+16+0+4+2+0 = 2006 As the LooLooLos numbering system began to infiltrate our decimal culture, something like Spanglish occured: that is, two languages merged into one. In the beginning, it was very unpleasant for us decimal crunchers to read binary. Binary numbers are too damn long. A descendant of Loo and LooLoo came up with a solution to help those of us who are binary-challenged. The solution is called hexadecimal notation. Hexadecimal extends our decimal digits to 16 digits: 0 to 9, as usual, plus A to F. A to F are new digits representing 10 to 15. Suddenly we had a new numbering system based on powers of 16. At first, it seemed that 16 digits made everything much more complicated, rather than simpler. But when you see how easy it is to convert from binary to hexadecimal notation, I think you will agree that hexadecimal simplifies binary numbers immensely for our non-LooLooLo brains. Here are the first 16 hexadecimal digits and their equivalent expressions in decimal and binary: 
111 = 7 1101 = D 0110 = 6llllllllll! And the number is: 
To convert from hexadecimal back to decimal, multiply by powers of 16: 7x256+Dx16+6 = 2006 That D is the digit for the number 13. Cool, eh? For more info, see the Wikipedia article on Binary and Hexadecimal Numerals. ASSIGNMENTHEX BIN DEC 0 0000 0 1 0001 1 2 0010 2 3 0011 3 4 0100 4 5 0101 5 6 0110 6 7 0111 7 8 1000 8 9 1001 9 A 1010 10 B 1011 11 C 1100 12 D 1101 13 E 1110 14 F 1111 15Find a way to convert your birth year into its binary equivalent. This may require some experimentation on your part. Think about it. Check your binary conversion by adding up its powers of two. Write your binary number as a hexadecimal number also. For 2 points, send me your binary and hexadecimal year of birth in a private message. For 2 more points, tell me briefly how you found your numbers. For 2 points, post your celebrity's name and decimal, binary and hexadecimal year of birth in a comment. For 1 more point, show how to convert FROM your celebrity's hexadecimal year TO the corresponding decimal year.
|
Comments:
From Bob - 11/10/06 7:36 PM
From BassLady - 11/3/06 6:47 PM
Quentin Tarantino's birth year is 1963
Binary conversion is 11110101011
Binary to Hexadecimal is 7AB
1*2^10 + 1*2^9 + 1*2^8 + 1*2^7 + 0*2^6 + 1*2^5 + 0*2^4 + 1*2^3 + 0*2^2 + 1*2^1 + 1*2^0=
1024 + 512 + 256 + 128 + 32 + 8 + 2 + 1 = 1963
Hexadecimal to decimal - 7 * 16^2 + 10 * 16^1 + 1 * 11^0 = 1963
From wHolt - 11/2/06 10:46 AM
From Soller - 11/1/06 11:08 PM
Hugh Jackman's decimal birth year- 1968
Binary birth year- 11110110000
Hexadecimal birth year-7B0
Hexadecimal to decimal-(7*16^2)+(11*16^1)+(0*0^0)=(1792+176+0)=1968
From SkoolGirl - 11/1/06 12:44 PM
From wHolt - 11/1/06 12:13 PM
This is a wonderful example of a binary to decimal conversion:
1*2^10 + 1*2^9 + 1*2^8 + 1*2^7 + 0*2^6 + 1*2^5 + 0*2^4 + 1*2^3 + 0*2^2 + 1*2^1 + 1*2^0=1024 + 512 + 256 + 128 + 32 + 8 + 2 + 1 = 1963
However it is not a hexadecimal to decimal conversion.
From BassLady - 11/1/06 10:38 AM
I don't see what mine is mssing??? I just did not label....at least I think. Your message at the beginning was for everyone to do theirs like Kathi
Quentin Tarantino's birth year is 1963
Binary conversion is 11110101011
Binary to Hexadecimal is 7AB
1*2^10 + 1*2^9 + 1*2^8 + 1*2^7 + 0*2^6 + 1*2^5 + 0*2^4 + 1*2^3 + 0*2^2 + 1*2^1 + 1*2^0=
1024 + 512 + 256 + 128 + 32 + 8 + 2 + 1 = 1963
From Sunshine - 10/31/06 2:42 PM
From wHolt - 10/30/06 11:29 AM
BassLady and GolfGirl - show us your hexadcimal to decimal conversion.
Thanks...
From Trixie - 10/29/06 10:14 PM
Jessica Simpson's Birthyear: 1980
Jessica Simpson's Binary Birth Year: 11110111100 (1*2^10 + 1*2^9 + 1*2^8 + 1*2^7 + 0*2^6 + 1*2^5 + 1*2^4 + 1*2^3 + 1*2^2 + 0*2^1 + 0*2^0 equals 1024+512+256+128+0+32+16+8+4+0+0 equals 1980
Jessica Simpson's Hexadecimal Birth Year: 7BC (7*16^2 + 11*16^1 + 12*16^0 equals 1792+176+12 equals 1980
From RockClimber - 10/29/06 9:59 PM
5) Henry Louis "Hank" Aaron - 1934 - 11110001110
6) 11110001110= 78E
7) 7x16^2+8x16^1=14x16^0 = 7x16^2+8x16^1=Ex16^0 = 11110001110 = 1024+512+256+128+0+0+0+8+4+2+0 = 1x2^10+1x2^9+1x2^8+1x2^7+0x2^6+0x2^5+0x2^4+1x2^3+1x2^2+1x2^1+0x2^0 = 1934
Thanks,
Rockclimber
From JooJoo - 10/29/06 8:47 PM
Gary Busey's birth year: 1944
Gary Busey's birth year into binary: 11110011000
Gary Busey's hexadecimal year: 798
Gary Busey's hexadecimal to decimal: 7(16^2) + 9(16) +8=1944
7 x 256 + 9 x 16 + 8= 1944
1 x 2^10 + 1 x 2 ^9 + 1 x 2^8 + 1 x 2^7 + 0 x 2^6 + 0 x 2 ^5 +1 x 2^4 + 1 x 2^3 + 0 x 2^2 + 0 x 2^1 + 0 x 2^0 =1944
From GolfGirl - 10/29/06 7:57 PM
Jennifer Aniston
1969
Binary- 11110110001
Hex- 7B1
Explanation of Hex-
111 1011 0001
7 B 1
Explanation of Binary-
1*2^10+1*2^9+1*2^8+0*2^7+0*2^6+1*2^5+1*2^4+0*2^3+0*2^2+0*2^1+1*2^0
1024+512+256+128+32+16+1=1969
From GolfGirl - 10/29/06 7:53 PM
Jennifer Aniston
1969
Binary- 11110110001
Explanation of Hex-
111 1011 0001
From CenterField - 10/29/06 4:11 PM
Anna Nicole Smith
Decimal Birth Year: 1967
Binary Birth Year: 11110101111
Hexadecimal Birth Year: 7AF
Hexadecimal-Decimal Conversion:
7AF
(7x16^2)+(Ax16^1)+(Fx16^0)
(7x256)+(10x16)+(15x1)
1792+160+15
1967
From Draco - 10/29/06 1:06 PM
Samuel Beckett
Birth year (decimal): 1906
Birth year (binary): 11101110010
Birth year (hexadecimal): 772
Hexadecimal-decimal conversion: 7*16^2 + 7*16^1 + 2*16^0=1792+112+4=1906
From BassLady - 10/29/06 11:24 AM
Quentin Tarantino's birth year is 1963
Binary Conversion is 11110101011
Binary to Hexadecimal is 7AB
Hexadecimal to Binary Conversion: 1x2^10 + 1x2^9 + 1x2^8 + 1x2^7 + 1x2^5 + 1x2^3 + 1x2^1 + 1x2 = 1024 + 512 + 256 + 128 + 32 + 8 + 2 + 1 = 1963
From Pac - 10/28/06 7:32 PM
Sandra Bullock's decimal birth year: 1964
Binary: 11110101100
Hexadecimal: 7AC
Hexadecimal-to-binary conversion: 7x16^2 + Ax16^1 + Cx16^0 = 7x16^2 + 10x16^1 + 12x16^0 = 1792 + 160 + 12 = 1964
From Tiger - 10/28/06 4:43 PM
William Carlos Williams 1883
Binary 11101011011
Hexadecimal 75B
7*16^2+5*16^1+B*16^0=7*256+5*16+B=1792+80+11=1883
From wHolt - 10/28/06 2:06 PM
From David - 10/27/06 7:26 PM
Chaka Kahn Birth year (decimal) 1953
Chaka Kahn Birth year (binary) 11110100001
Chaka Kahn Birth year (hex) 7A1
Hex to decimal convert 7=7, A=10, 1=1
(7x16^2)+(10x16^1)+(1x16^0)=1953
From Sunshine - 10/27/06 1:04 PM
Sean Preston binary birth year: 11111010101
Sean Preston hexadecimal year: 7D5
1x2^10 + 1x2^9 + 1x2^8 + 1x2^7 + 1x2^6 + 0x2^5 + 1x4^4 + 0x2^3 + 1x2^2 x 1x1^1
1024 + 512 + 256 + 128 + 64 + 16 + 0+ 4+0 + 1 + 0
From wHolt - 10/27/06 12:08 PM
From Butterfly - 10/27/06 12:38 AM
Dana Owens 1970 Binary 11110110010 Hexadecimal 7B2 Conversions 7*16^2+B*16^1+2*16^0=7*16^2+11*16^1+2*16^0 1024+512+256+128+32+16+2=1970 |
From Pringle - 10/26/06 11:27 AM
- *celebrity's name : Angelina Jolie
- 1. birth year in decimal = 1975
- binary = 11110110111
- 2. birth year in hexadecimal = 7B7
- 3. 7B7= 7*16^2+11*16^1+7*16^0= 1792+176+7=1975
From Pod - 10/26/06 10:42 AM
OK, sticking with the same celebrity from the earlier exercises...
Daisy Fuentes Birth year:
Dec: 1968
Bin: 11110110000
Hex: 7B0
Hex back to Dec:
(7 X 16^2) + (B X 16^1) + (0 X 16^0)
1792 + 176 + 0 = 1968
From Houdini - 10/25/06 11:26 PM
Okey Dokey Smokey.
Frank Lloyd Wright's Decimal Birth Year: 1867
Frank's Binary Birth Year:11101001011
Frank's Hexidecimal Birth Year: 74B
Hex to Dec:
7x16^2+4x16^1+Bx16^0
1792+64+11x16^0
1792+64+11=1867
I'm Smokin'!
From wHolt - 10/24/06 11:01 AM
From 7Iron - 10/23/06 1:41 PM
Roy Acuff's birth year: 1903
Roy Acuff's binary birth year: 11101101111
Roy Acuff's hexidecimal year: 76F
1*2^10 +1*2^9 + 1*2^8 + 0* 2^7 + 1*2^6 + 1*2^5 + 0*2^4 + 1*2^3 + 1*2^2 + 1*2^1 + 1*2^0=
1024 + 512 + 256 + 0 + 64 + 32 + 0 + 8 + 4 + 2 + 1= 1903
Hexi to Deci- 7x16^2+6x16^1+15x16^0 = 1903 7x16^2+6x16^1+Fx16^0=1903
From wHolt - 10/23/06 1:24 PM
Some of you show how you are converting from binary to decimal,
but the asignment says to show us how to convert from hexadecimal to decimal.
So these folks did NOT receive all their total points yet:
Boki
Fro
Kathi
Slick
FIX!
From SkoolGirl - 10/23/06 2:24 AM
Bill Clinton's Birth Year : 1946
Bill Clinton's Binary Year : 11110011010
Bill Clinton's Hexadecimal Year : 79A
Decimal To Binary
1*2^10+1*2^9+1*2^8+1*2^7+0*2^6+0*2^5+1*2^4+1*2^3+0*2^2+1*2^1+0*2^0
Hexadecimal To Decimal
7*16^2+9*16^1+A*16^0 = 7*256+9*16+10 = 1792+144+10= 1946
From 7Iron - 10/22/06 4:25 PM
Roy Acuff's birth year: 1903
Roy Acuff's binary birth year: 11101101111
Roy Acuff's hexidecimal year: 76F
1*2^10 +1*2^9 + 1*2^8 + 0* 2^7 + 1*2^6 + 1*2^5 + 0*2^4 + 1*2^3 + 1*2^2 + 1*2^1 + 1*2^0=
1024 + 512 + 256 + 0 + 64 + 32 + 0 + 8 + 4 + 2 + 1= 1903
From SuperDuke - 10/22/06 1:21 PM
Loretta Lynn ws born in 1935.
The Looloo's would say she was born in 11110001111.
If they were trying to tell us this they might first convert it to a hexadecimal, which would be 78F.
Then they would convert it like this. 7(16^2) + 8(16) + 15 which would then be 1792 + 128 + 15. and finally 1935.
From wHolt - 10/20/06 1:23 PM
From Zonino - 10/19/06 7:48 PM
Celebrity - James Cagney
Celebrity Birth Year - 1899
Celebrity Birth Year in Binary - 11101101011
Celebrity Birth Year in Hexadecimal - 76B
Celebrity Birth Year in Hexadecimal to Decimal -
7*16^2+6*16^1+B^0=7*16^2+6*16^1+11^0=1792+96+11=1899
From Slick - 10/19/06 6:34 PM
Sean Penn's Birth year = 1960
His Binary Birth Year = 11110101000
His Hexadecimal Birth Year = 7A8
1x2^10 + 1x2^9 + 1x2^8 + 1x2^7 + 0x2^6 + 1x2^5 + 0x2^4 + 1x2^3 + 0x2^2 + 0x2^1 + 0x2^0 = 1024+512+256+128+0+32+0+8+0+0+0 = 1960
From Boki - 10/19/06 6:20 PM
Celebrity's birth year in hexadecimal: 77B
Celebrity's hexadecimal year to decimal explanation:
1*2^10 +1*2^9 + 1*2^8 + 0* 2^7 + 1*2^6 + 1*2^5 + 1*2^4 +1*2^3 + 0*2^2 + 1*2^1 + 1*2^0=1024 + 512 + 256 + 0 + 64 + 32 + 16 + 8 + 0 + 2 + 1= 1915
From wHolt - 10/19/06 1:26 PM
From Poovey - 10/19/06 11:45 AM
Tommy Lee Jones= 1946
Binary= 11110011010= 1946
Hexadecimal= 79A
= 111-7 1001-9 1010-A
7x16^2 + 9x16^1 + Ax16^0
7x16^2 + 9x16^1+ 10x16^0
7x256 +9x16 + 10
1792+144+10= 1946
From Fro - 10/18/06 8:13 PM
Tiger Woods' birth year: 1975
Tiger Woods' binary birth year: 11110110111
Tiger Woods' hexadecimal year: 7B7
1*2^10 +1*2^9 + 1*2^8 + 0* 2^7 + 1*2^6 + 1*2^5 + 1*2^4 + 1*2^3 + 1*2^2 + 0*2^1 + 1*2^0=
1024 + 512 + 256 + 128 + 0 + 32 + 16 + 0 + 4 + 2 + 1= 1975
From DirtyBird - 10/18/06 7:50 PM
Johnny Cochran's Birth Year= 1937
Johnny's Binary Birth Year= 11110010001
Johnny's Hexadecimal Year= 791
Johnny's Hexadecimal year To Decimal= 7x256+9x16+1=1937
From wHolt - 10/18/06 12:29 PM
NO ONE RECEIVES FULL CREDIT TILL THEY DO WHAT KATHI DID:
GIVE CLEBRITY'S NAME AND BIRTH YEAR IN BASE 10 DECIMAL!
THANKS, KATHI...
From Kathi - 10/18/06 11:14 AM
Zsa Zsa Gabor’s birth year: 1917
Zsa Zsa’s binary birth year: 11101111101
Zsa Zsa’s hexadecimal year: 77D
1*2^10 +1*2^9 + 1*2^8 + 0* 2^7 + 1*2^6 + 1*2^5 + 1*2^4 + 1*2^3 + 1*2^2 + 0*2^1 + 1*2^0=
1024 + 512 + 256 + 0 + 64 + 32 + 16 + 8 + 4 + 0 + 1= 1917
From Zonino - 10/17/06 9:42 PM
Celebrity Birth Year in Binary - 11101101011
Celebrity Birth Year in Hexadecimal - 76B
Celebrity Birth Year in Hexadecimal to Decimal -
7*16^2+6*16^1+B^0=7*16^2+6*16^1+11^0=1792+96+11=1899
From Harkar - 10/17/06 9:13 PM
Celebrity Birth year=1964
In binary = 11110101100
In hexadecimal = 7AC
Convert from hexadecimal to decimal:
7x16^2 + Ax16^1 + Cx16^0 = 7x16^2 + 10x16^1 + 12x16^0=
7x256 + 10x16 + 12= 1792 + 160 +12= 1964
From Melewen - 10/17/06 12:15 PM
Celebrity birth year in binary: 11110001011
Celebrity birth year in hexadecimal: 78B
And back to decimal: 7x256 + 8x16 + 11 = 1931
From Boki - 10/16/06 10:26 PM
Celebrity's birth year in binary: 11101111011
Celebrity's birth year in hexadecimal: 77B
Celebrity's hexadecimal year to decimal explanation:
1*2^10 +1*2^9 + 1*2^8 + 0* 2^7 + 1*2^6 + 1*2^5 + 1*2^4 +1*2^3 + 0*2^2 + 1*2^1 + 1*2^0=1024 + 512 + 256 + 0 + 64 + 32 + 16 + 8 + 0 + 2 + 1= 1915
From CatsEyes - 10/16/06 8:15 PM
Celebrity's birth year in binary: 11101011001
Celebrity's birth year in hexadecimal: 759
Celebrity's hexadecimal year to decimal: 7x256+5x16+9 = 1881
Last Modified 10/18/06 12:32 PM
Kelly Clarkson's birth year: 1982
Kelly Clarkson's birth year in binary: 11110111110
Kelly Clarkson's birth year in hexadecimal: 7BE
1•2ˆ10 + 1•2ˆ9 + 1•2ˆ8 + 1•2ˆ7 + 1•2ˆ5 + 1•2ˆ4 + 1•2ˆ3 + 1•2ˆ2 + 1•2ˆ1
1024 + 512 + 256 + 128 + 32 + 16 + 8 + 4 + 2 = 1982
7•16ˆ2 + B•16ˆ1 + E•16ˆ0 = 7•16ˆ2 + 11•16ˆ1 + 14•16ˆ0 = 1982