Converting Binary to Hexadecimal ...

You need to become VERY familiar with the patterns below:

Hex	F	E	D	C	B	A	9	8	7	6	5	4	3	2	1
Binary	1111	1110	1101	1100	1011	1010	1001	1000	0111	0110	0101	0100	0011	0010	0001
Decimal	15	14	13	12	11	10	9	8	7	6	5	4	3	2	1

There is no easy way to remember the Hex to Binary conversions for A to F. You need to learn them so you can automatically write them down without thinking. Once you have learnt the A to F conversion the process of general conversion from Hex to Binary and back becomes very simple. (So learn them!!)

Binary to Hex

In the previous screens you converted a Hexadecimal number to Binary by expressing each Hex place as a Binary "quartet" (ie 4-bits). The process of converting from Binary to Hex uses the same 'quartet' approach, but in reverse.

Example 1. Consider Binary: 1000100100110111  (a 16-bit Byte)STEP 1 Break the Byte into 'quartets' -  1000  1001  0011  0111 STEP 2 Use the table above to covert each quartet to its Hex equivalent -  8937 Therefore ... 1000100100110111 = 8937Hex

Example 2. Consider Binary 1111110001000001STEP 1 Break the Byte into 'quartets' - 1111  1100  0100 0001 STEP 2 Use the table above to covert each quartet to its Hex equivalent -  FC41 Therefore ... 1111110001000001 = FC41Hex

Example 3. Consider Binary 11010101STEP 1 Break the Byte into 'quartets' - 1101  0101 STEP 2 Use the table above to covert each quartet to its Hex equivalent -  D5 Therefore ... 11010101 = D5Hex Posted by: MUNEEB