Which number system is used internally by computers?
The binary number system with base 2 is used internally by computers to represent data and programming/machine instructions as it can be easily implemented utilizing two voltage levels/states in digital circuits.
What are the advantages of the hexadecimal number system?
Hexadecimal provides a more compact yet intuitive representation compared to long binary numbers. It is widely used to represent memory addresses, color codes, and compressed file formats for improved human readability.
How many bits are required to represent a decimal digit in binary?
To represent any decimal digit between 0-9 in binary requires at least 4 bits since 2^4 = 16 which is greater than 10. So a minimum of 4 bits can uniquely represent the 10 decimal digits.
What is the highest number that can be represented using an 8-bit binary?
An 8-bit binary number can have values from 0000 0000 to 1111 1111. In decimal, this range is equivalent to 0 to 255. So 255 is the maximum positive number that can be represented in an 8-bit binary format.
What are octal and hexadecimal used for?
Octal and hexadecimal systems are used primarily for representing memory addresses, color codes, and character sets internally in a more compact form as compared to long binary numbers for improved human readability.