4.5.2 Number Bases

Question 1

What base are binary, decimal and hexadecimal numbers?

Answer 1

binary = base 2
decimal = base 10
hexadecimal = base 16

Question 2

How to convert from binary to decimal?

Answer 2

Multiply the nth least significant digit by 2^(n-1)

Question 3

How to convert from binary to hexadecimal?

Answer 3

Split binary into nibbles and convert nibbles into decimal and if it is greater than 9, represent the 2 digit numbers with a letter starting from A to F

Question 4

Why do we use hexadecimal as a shorthand for binary?

Answer 4

Makes it easier for humans to work with when binary numbers are long. Takes up less area on the output monitor when binary numbers are long