Answer:
The number of address is 13
Step-by-step explanation:
Given
![Logic = 8k](https://img.qammunity.org/2021/formulas/engineering/college/bu7al35ote3msoh5ze0tnercgju62ov2c2.png)
Required
Determine the number of address
This can be done using the following formula
![2^n = Size](https://img.qammunity.org/2021/formulas/engineering/college/z3pn3ghuei1v1lnqs68ccqrfwymemmivof.png)
Substitute 8k for Size
![2^n = 8k](https://img.qammunity.org/2021/formulas/engineering/college/pra80mwaxmava31x7rqf9296gw2f577q1s.png)
![1k = 1024](https://img.qammunity.org/2021/formulas/engineering/college/c7bikfdo4975aicq0mqv2wkeiew1uv72vz.png)
So:
![2^n = 8 * 1024](https://img.qammunity.org/2021/formulas/engineering/college/m47fyett2vewmeeu25bkmsve2rah1wmn9s.png)
Represent the right hand side as exponents
![2^n = 2^3 * 2^(10)](https://img.qammunity.org/2021/formulas/engineering/college/gyzjdo2jcs7un4vsvp1bn771irjrfm4ouw.png)
Apply law of indices
![2^n = 2^(3+10)](https://img.qammunity.org/2021/formulas/engineering/college/eg0tsnjgd0lrvndysuuegorkx14o3mp6xz.png)
![2^n = 2^(13)](https://img.qammunity.org/2021/formulas/engineering/college/l2dxptqrxjp7a2tq6levqem4o12c7uzh33.png)
Cancel 2 on both sides;
![n = 13](https://img.qammunity.org/2021/formulas/mathematics/college/d7b7pzf0vsqiq5xxvsmqrmvlitapy85inj.png)
Hence, the number of address is 13