internet protocol version 4 (ipv4) represents each ip address as a 32 - bit binary number. internet protocol…

internet protocol version 4 (ipv4) represents each ip address as a 32 - bit binary number. internet protocol version 6 (ipv6) represents each ip address as a 128 - bit binary number. 42 mark for review which of the following best describes the result of using 128 - bit addresses instead of 32 - bit addresses? a 4 times as many addresses are available. b 96 times as many addresses are available. c 2^4 times as many addresses are available. d 2^96 times as many addresses are available.

internet protocol version 4 (ipv4) represents each ip address as a 32 - bit binary number. internet protocol version 6 (ipv6) represents each ip address as a 128 - bit binary number. 42 mark for review which of the following best describes the result of using 128 - bit addresses instead of 32 - bit addresses? a 4 times as many addresses are available. b 96 times as many addresses are available. c 2^4 times as many addresses are available. d 2^96 times as many addresses are available.

Answer

Answer:

D. $2^{96}$ times as many addresses are available.

Explanation:

Step1: Calculate number of IPv4 addresses

The number of possible 32 - bit binary numbers is $2^{32}$ since each bit has 2 states (0 or 1).

Step2: Calculate number of IPv6 addresses

The number of possible 128 - bit binary numbers is $2^{128}$.

Step3: Find the ratio

To find how many more addresses IPv6 has compared to IPv4, we calculate $\frac{2^{128}}{2^{32}}$. Using the rule of exponents $\frac{a^m}{a^n}=a^{m - n}$, we get $2^{128-32}=2^{96}$. So there are $2^{96}$ times as many IPv6 addresses as IPv4 addresses.