Exercise
What is A3E in hexadecimal (base 16) in binary (base 2)?
Solution
Each hexadecimal digit corresponds to 4 bits (binary digits). Convert each hexadecimal digit into its binary equivalent. See the Exercise 5 solution for more on working with 4 bit binary numbers.
10: A
11: B
12: C
13: D
14: E
15: F
A 3 E
1010 0011 1110
A3E in hexadecimal (base 16) is 101000111110 in binary (base 2).
Alternative approach
This problem can also be solved by converting from hexadecimal into decimal (base 10) then converting from decimal into binary.
A3E in hexadecimal is 2622 in decimal.
2622 in decimal is 101000111110 in binary.