Binary Counting Game

Started by Exabyte280 pages

Binary Counting Game

... works similar to the Hexadecimal one, only that here there are only two different numbers, 0 and 1.

The whole system is based on 2 while the normal decimal one is based on 10, so binary is counted by factors of 2 - like 1, 2, 4, 8, 16, 32, 64 etc.

Like in decimal counting, each digit moving from right to left represents an increasing order of magnitude (in decimal power of ten).

With decimal notation each succeeding digit's contribution is ten times greater than the previous digit. Increasing the first digit by one increases the number represented by one, increasing the second digit by one increases the number by ten, the third digit increases the number by 100, and so on.

The concept is the same with binary notation except that each digit is a power of two greater than the preceding digit rather than a power of ten, so instead of 1's, 10's or 100's there's 1's, 2's, 4's, and 8's.

Hence, the first few numbers in binary would be 1 (1x2^0=1x1=1), 10 (1x2 + 0x1=2), 11 (1x2+1x1=3), 100 etc;

42 for example would be written 101010 (1x32 + 0x16 + 1x8 + 0x4 + 1x2 +0x1)

So Il start with

1

🙂

10

11

100

101

110

111

1000

1001

1010

1011

1100

1101

1110

1111

10000

10001

10010

10011

10100