1. What is the only decimal integer whose hexadecimal representation has its digits reversed? Solution. 53 is 35 in hex. 2. Prove that converting a hexadecimal number one digit at a time to binary,...

1. What is the only decimal integer whose hexadecimal representation has its digits reversed? Solution. 53 is 35 in hex.

2. Prove that converting a hexadecimal number one digit at a time to binary, and vice versa, always gives the correct result.