SECTION I-8: Counting in Bases 10, 2, and 16

Table Below demonstrated the relationship between all three Bases. Showed the sequence of numbers from 0 to 31 in decimal, along with the equivalent Binary and Hex numbers. In each base that when one more is added to the the highest digit, that digit becomes zero and a 1 is carried to the next-highest digit position. In decimal, 9 + 1 = 0 with a carry to the next-highest position. In Binary, 1 + 1 = 0 with a carry; similarly, in Hex, F + 1 = 0 with a carry.

Decimal Binary Hex
0 00000 0
1 00001 1
2 00010 2
3 00011 3
4 00100 4
5 00101 5
6 00110 6
7 00111 7
8 01000 8
9 01001 9
10 01010 A
11 01011 B
12 01100 C
13 01101 D
14 01110 E
15 01111 F
16 10000 10
17 10001 11
18 10010 12
19 10011 13
20 10100 14
21 10101 15
22 10110 16
23 10111 17
24 11000 18
25 11001 19
26 11010 1A
27 11011 1B
28 11100 1C
29 11101 1D
30 11110 1E
31 11111 1F

 

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