Convert hexadecimal to binary

Question

I am converting the hexadecimal number 0XA85D10 to binary. However, I am told you can convert this number without using paper or a calculator.

Is this possible?

Thanks

Answer 1

Easily. Each digit in a hex number translates to 4 digits in a binary number, so you only need to know the binary numbers from 0 to f, or 0000 to 1111.

As an example:

0xc3e2

c = 12 decimal = 1100
3 =              0011
e = 14 decimal = 1110
2 =              0010

Then just string them together.

0xc3e2 = 1100001111100010 binary