Join FunTrivia for Free: Hourly trivia games, quizzes, community, and more!
Fun Trivia
Ask FunTrivia: Questions and Answers
Answers to 100,000 Fascinating Questions
Welcome to FunTrivia's Question & Answer forum!

Search All Questions

Please cite any factual claims with citation links or references from authoritative sources. Editors continuously recheck submissions and claims.

Archived Questions

Goto Qn #

If a googol (1 followed by 100 zeros) was written in binary notation, how many digits would it have?

Question #39902. Asked by jigaboo_sue.

Answer has 5 votes

Answer has 5 votes.
333 bits )binary digits

Oct 15 2003, 12:20 PM
Answer has 7 votes
Currently Best Answer
20 year member
2091 replies

Answer has 7 votes.

Currently voted the best answer.

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 7 votes

Answer has 7 votes.
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

Jun 21 2007, 8:52 AM
free email trivia FREE! Get a new mixed Fun Trivia quiz each day in your email. It's a fun way to start your day!

arrow Your Email Address:

Sign in or Create Free User ID to participate in the discussion