duTec Protocol Manual - Appendix E - Hexadecimal/Decimal Conversion (edited 9/5/2001)

[ Home ] [ Products ] [ Data Sheets ] [ Support ] [ FAQ ] [ Sales Offices ] [ Request Catalog ] [ Contact duTec ]

Hexadecimal/Decimal Conversion

The data field of instructions and their responses are in hexadecimal.

Hexadecimal/Decimal Equivalents:

Decimal 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15

Hexadecimal 0 1 2 3 4 5 6 7 8 9 A B C D E F

The two examples demonstrate the calculations that convert base 16 hexadecimal numbers to decimal and vice versa.

Example 1: Hex-to-Decimal
Decimal = (1st hex digit * 4096) + (2nd hex digit * 256) + (3rd hex digit * 16) + (4th hex digit) Where each hex digit is the actual decimal equivalent of the hex digit.

Hex in =	0	F	E	D		Decimal Equivalent
	\|	\|	\|	\|_____	______	13 * 1 =	13
	\|	\|	\|_____	______	______	14 * 16 =	224
	\|	\|_____	______	_____	______	15 * 256 =	2840
	\|_____	______	______	______	______	0 * 4096 =	0
							____
							4077_D
Therefore, 0FED_H = 4077_D

Example 2: Decimal-to-Hex

This method works by calculating the most signifcant hex digit first and working down to the least significant hex digit. The formula shown only works for a maximum of four hex digits. Any whole number results are converted to hex and the remainder is carried over to determine the next hex digit.

Decimal in = 4077_D

Most significant hex digit:

4077/4096 < 1 therefore the most signifcant hex digit is 0.
0???
and the remainder carried over is: 4077 - (0) * 4096 = 4077

2nd hex digit:

4077/256 = 15+ therefore the 2nd hex digit is F.
0F??
and the remainder carried over is: 4077 - (15) * 256 = 237

3rd hex digit:

237 / 16 = 14+ therefore the 3rd hex digit is E.
0FE?
and the remainder carried over is: 237 - (14) * 16 = 13

4th hex digit:

therefore the least significant digit is 13 = D.

OFED_H is the hex equivalent

Example 2: Decimal-to-Hex
This method works by calculating the most signifcant hex digit first and working down to the least significant hex digit. The formula shown only works for a maximum of four hex digits. Any whole number results are converted to hex and the remainder is carried over to determine the next hex digit.

Decimal in = 4077_D

Most significant hex digit:	4077/4096 < 1 therefore the most signifcant hex digit is 0. 0??? and the remainder carried over is: 4077 - (0) * 4096 = 4077

2nd hex digit:	4077/256 = 15+ therefore the 2nd hex digit is F. 0F?? and the remainder carried over is: 4077 - (15) * 256 = 237

3rd hex digit:	237 / 16 = 14+ therefore the 3rd hex digit is E. 0FE? and the remainder carried over is: 237 - (14) * 16 = 13

4th hex digit:	therefore the least significant digit is 13 = D.

	OFED_H is the hex equivalent

[ Home ] [ Products ] [ Data Sheets ] [ Support ] [ FAQ ] [ Sales Offices ] [ Request Catalog ] [ Contact duTec ]