EduNinja

[Maximum number: 4]

"Password entropy" is a measure of the predictability of a computer password. The higher the entropy, the more difficult it is to guess the password.
The relationship between the password entropy, p, (measured in bits) and the number of guesses, G, required to decode the password is given by $0.301 p=\log _{10} G$ .

(a)

Calculate the value of p for a password that takes 5000 guesses to decode.

[ 2 ]

attempt to substitute 5000 for G
$0.301 p=\log _{10} 5000$
( p= ) 12.3 (bits) ( $12.2889 \ldots$ )

(b)

Write down G as a function of p.

[ 1 ]

$(G=) 10^{0.301 p} \quad \mathbf{OR} \quad 2^{p}$

(c)

Explain what these coordinate values mean in the context of computer passwords.

[ 1 ]

IB Maths AI SL 1.5 Integer Exponents and Logarithms Topic Practice

Learn this topic

IB Maths AI SL 1.5 Integer Exponents and Logarithms Topic Practice

Learn this topic

Question 1

Question (a)

Question (b)

Question (c)