Explanation for Future Version/Beginners - Include Decimal


#1

One thing that help me in a big way when I was first learning all these new number formats is to realize that decimal can be represented in the same way as the figures you have in this chapter. It really helped me make the connection between number formats and washed away a lot of the nonsense.

The example would show that you figure out a number like 100,100 in decimal by computing (from right to left): (0 x 10^0) + (0 x 10^1) + (1 x 10^2) + (0 x 10^3) + (0 x 10^4) + (1 x 10^5). The only number you change in this formula when moving between formats is the 10 (for binary, replace the 10s with 2s, hex replace the 10s with 16s, octal replace the 10s with 8s, etc).

Featuring this example might help folks who are encountering this stuff for the first time.