32 nails


by campingfriend
Tags: cash, multiplication, nails, total
campingfriend
campingfriend is offline
#1
Dec12-13, 08:51 AM
P: 1
So if you are putting horse shoes on a horse it takes 32 nails. Imagine telling the horse owner you will do the first nail for a penny and the second nail for 2 pennys. Each nail will be double the prior nail.Once the final nail is installed ant the total is tallied up, will he be able to pay you? You might be surprised at your bank account if he actually writes you a check for the correct amount. That would be a lot spending cash at your disposal.
Phys.Org News Partner Mathematics news on Phys.org
Hyperbolic homogeneous polynomials, oh my!
Researchers help Boston Marathon organizers plan for 2014 race
'Math detective' analyzes odds for suspicious lottery wins
phinds
phinds is offline
#2
Dec12-13, 08:57 AM
PF Gold
phinds's Avatar
P: 5,705
Quote Quote by campingfriend View Post
So if you are putting horse shoes on a horse it takes 32 nails. Imagine telling the horse owner you will do the first nail for a penny and the second nail for 2 pennys. Each nail will be double the prior nail.Once the final nail is installed ant the total is tallied up, will he be able to pay you? You might be surprised at your bank account if he actually writes you a check for the correct amount. That would be a lot spending cash at your disposal.
This has been known since ancient times. The original was 1 grain of wheat one the first square of a chessboard, 2 on the 2nd, etc.
jbunniii
jbunniii is offline
#3
Dec12-13, 10:17 AM
Sci Advisor
HW Helper
PF Gold
jbunniii's Avatar
P: 2,927
$$\sum_{n=0}^{N-1} 2^n = \frac{2^{N} - 1}{2 - 1} = 2^{N} - 1 = 2^{32} - 1$$
Good thing it wasn't 33 nails, or you might have had an even bigger surprise if that slacker who programmed your bank's software used 32-bit variables...

cpscdave
cpscdave is offline
#4
Dec12-13, 10:37 AM
P: 50

32 nails


Quote Quote by jbunniii View Post
$$\sum_{n=0}^{N-1} 2^n = \frac{2^{N} - 1}{2 - 1} = 2^{N} - 1 = 2^{32} - 1$$
Good thing it wasn't 33 nails, or you might have had an even bigger surprise if that slacker who programmed your bank's software used 32-bit variables...
Depends on if they used signed or unsigned :D


Register to reply

Related Discussions
Nails going down the side of the roof Introductory Physics Homework 4
Calcium and nails Medical Sciences 1
How many nails does the carpenter use? Engineering, Comp Sci, & Technology Homework 0
Nails and Stress Introductory Physics Homework 2
Hang nails Biology 5