The document explains the conversion of decimal values to hexadecimal using binary calculations and a grid of nibbles. It outlines a three-step process involving determining the binary value, calculating each hexadecimal digit (hexit), and summing the hexits to get the final hexadecimal value. Specific examples of converting decimal numbers such as 2110 and 761 to hexadecimal are provided for clarification.

1. Decimal to Hex Conversion
Using the grid below which represents bytes broken into nibbles, you can take a decimal value, turn it into Binary and then using the grid below, easily (and more
visually) see the Hexidecimal value. In computing, a nibble (often, nybble) is a four-bit aggregation or half an octet. As a nibble contains 4 bits, there are sixteen (24)
possible values, so a nibble corresponds to a single hexadecimal digit (thus, it is often referred to as a "hex digit" or "hexit"). Based on this understanding, the
Hexidecimal value can be found in 3 easy steps. 1.) Based on the Decimal values listed on the grid for each octet, caluclate the Binary value. 2.) calculate each
hexit value based on the binary value 3.) Add each hexit value together to get the Hexidecimal value.
Binary Value Decimal Hex
Decimal Value 32768 16384 8192 4096 2048 1024 512 256 124 64 32 16 8 4 2 1 0 0
Hexit Value 8 4 2 1 8 4 2 1 8 4 2 1 8 4 2 1 1 1
2 2
3 3
Find the Hex Value of Decimal value 2110. 4 4
1.) find the Binary value of 2110 (2048 + 32 + 16 + 8 + 4 + 2 = 2110) which is 100000111110. 5 5
Binary Value 1 0 0 0 0 0 1 1 1 1 1 0 6 6
Decimal Value 32768 16384 8192 4096 2048 1024 512 256 124 64 32 16 8 4 2 1 7 7
Hexit Value 8 4 2 1 8 4 2 1 8 4 2 1 8 4 2 1 8 8
9 9
10 a
2.) Now calculate each hexit value based on the binary value and list below. 11 b
Binary Value 1 0 0 0 0 0 1 1 1 1 1 0 12 c
Decimal Value 32768 16384 8192 4096 2048 1024 512 256 124 64 32 16 8 4 2 1 13 d
Hexit Value 8 4 2 1 8 4 2 1 8 4 2 1 8 4 2 1 14 e
8 2+1=3 8 + 4 + 2 = 14 or e 15 f
3.) Add each hexit's value together to get the Hexidecimal value. ( 8 and 3 and e = 83e)
ANSWER = 83e
Therefore if you have decimal value of 761 the binary value would be…. 1011111101 and the Hexidecimal value would be 2fd…
1.) find the Binary value of 761 (512 _ 124 + 64 + 32 + 16 + 8 + 4 + 1 = 761) which is 1011111101.
Binary Value 1 0 1 1 1 1 1 1 0 1
Decimal Value 32768 16384 8192 4096 2048 1024 512 256 124 64 32 16 8 4 2 1
Hexit Value 8 4 2 1 8 4 2 1 8 4 2 1 8 4 2 1
2 8+4+2+1 = 15 or f 8+4+1 = 13 or d
2.) Now calculate each hexit value based on the binary value and list below.
3.) Add each hexit's value together to get the Hexidecimal value. ( 2 and f and d = 2fd)
ANSWER = 2fd