Ask FunTrivia: Questions and Answers

**Answers to 100,000 Fascinating Questions**

Question #39902. Asked by **jigaboo_sue**.

Answer has

Answer has

333 bits )binary digits

Oct 15 2003, 12:20 PM

Answer has

20 year member

2091 replies

Answer has

1249AD2594C37D0000000000000000000000000000000000000000000000000000000000000000000000

In hexadecimal to be precise!

84 digits (4 binary bits each = 336) except the 1st digit is a 1 so 3 binary bits "unused" .

In binary ?

10010010010011010110100100101100101001100001101111101 followed by 280 zeroes !!!

In hexadecimal to be precise!

84 digits (4 binary bits each = 336) except the 1st digit is a 1 so 3 binary bits "unused" .

In binary ?

10010010010011010110100100101100101001100001101111101 followed by 280 zeroes !!!

Oct 15 2003, 1:43 PM

Answer has

Answer has

sequoianoir is mistaken. It has only 100 zeros at the end. Here's a proof:

10^100 = 2^100 * 5^100.

2^100 in binary = 1000...000 (100 zeros)

5^100 in binary ends with a 1. (because 5^n ends with a 5 for all n, therefore all 5^n are odd, therefore ends with a 1 in binary).

5^100 ends with a 1 in binary. Multiplying it by 2^100 is equivalent to sticking 100 zeros on the right-hand side of 5^100. So in binary, you get 5^100 followed by 100 zeros.

If you have the "bc" program (available in UNIX) you can see it for yourself: 100100100100110101101001001011001010011000011011111001110101100001011001001111000010011000100110011100000101111110011100010101100111001000000100011100010000100011010011111001010101010110010010000110000100010101000001011101000111100010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

10^100 = 2^100 * 5^100.

2^100 in binary = 1000...000 (100 zeros)

5^100 in binary ends with a 1. (because 5^n ends with a 5 for all n, therefore all 5^n are odd, therefore ends with a 1 in binary).

5^100 ends with a 1 in binary. Multiplying it by 2^100 is equivalent to sticking 100 zeros on the right-hand side of 5^100. So in binary, you get 5^100 followed by 100 zeros.

If you have the "bc" program (available in UNIX) you can see it for yourself: 100100100100110101101001001011001010011000011011111001110101100001011001001111000010011000100110011100000101111110011100010101100111001000000100011100010000100011010011111001010101010110010010000110000100010101000001011101000111100010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Jun 21 2007, 8:52 AM