Hexadecimal Number System

The hexadecimal number system, radix 16, consists of 16 symbol (0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F)

hexadecimal

This is 2×256 + 14×16 +6×1 + 10× (1/16) + 3× (1/256)

(=742.63671 in Decimal)

How to Show that a Number is hexadecimal

The hexadecimal number follows with a little 16: A43₁₆

Conversion hexadecimal numbers into decimal
Let us take an example
Convert 2E6₁₆   into decimal

                    6*16⁰=6*1=6

+     E*16¹=14*16=224

+     2*16²=2*256=512 ===========742

So (2E6)₁₆= (742)₁₀

Note    A=10, B=11, C=12, D=13, E=14, F=15

Conversion decimal numbers into hexadecimal

Let us take an example
Convert (742)₁₀ into binary

                        724/16= 46 +++     6--------------------- (carry)

 46/16= 2 +++ 14=E   ---------------------- (carry)

 2/16= 0 +++          2----------------------- (carry)

So (742)₁₀   = (2E6)₁₆