Question

Explain circumstances that would motivate the use of hexadecimal number systems in modern computation

Answer 1

For digital equipment, the number system is binary (base 2). But expressing something in binary leads to too many bits to use, so it’s not practical. 
Hexadecimal is a convenient way to express binary numbers in modern computers, in which a byte is defined as containing eight binary digits. 
Each hexadecimal digit represents four binary digits, also called nibbles, which are half a byte. Two hexadecimal digits can represent eight binary digits or bytes.
Hexadecimal allows us to use 4 times fewer bits, which is very convenient.
Hexadecimal numbers are widely used by computer system developers and programmers because they provide a human-friendly representation of binary encoded values.