Hexadecimal system - exploreroots

b=16 {value of A=10, B=11, C=12, D=13, E=14, F=15}

(A0F) ₁₆

= A * 16² + 0 *16¹ + F *16⁰

= 10 * 16² + 0 *16¹ + 15 *16⁰

=2560 + 15

= (2575) ₁₀

Similarly 11.1₁₆ = 1 x (16¹) + 1 x (16⁰) + 1 x (16^-1) = 17.0625₁₀

12.3₁₆ = 1 x (16¹) + 2 x (16⁰) + 3 x (16^-1) = 18.1875₁₀

The weights of the corresponding bits for hexadecimal system are as

Corresponding equivalents of decimal 0-15 in Binary, octal & hexadecimal system

Decimal Binary Octal Hexadecimal

0 0000 00 0

1 0001 01 1

2 0010 02 2

3 0011 03 3

4 0100 04 4

5 0101 05 5

6 0110 06 6

7 0111 07 7

8 1000 10 8

9 1001 11 9

10 1010 12 A

11 1011 13 B

12 1100 14 C

13 1101 15 D

14 1110 16 E

15 1111 17 F

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