June 2006
Intermediate to advanced
1344 pages
42h 52m
English
We are accustomed to working in decimal, and therefore it is often convenient to convert a binary, octal, or hexadecimal number to decimal to get a sense of what the number is “really” worth. Our diagrams in Section B.1 express the positional values in decimal. To convert a number to decimal from another base, multiply the decimal equivalent of each digit by its positional value and sum these products. For example, the binary number 110101 is converted to decimal 53, as shown in Fig. B.8.
| Converting a binary number to decimal | ||||||
|---|---|---|---|---|---|---|
| Postional values: | 32 | 16 | 8 | 4 | 2 | 1 |
| Symbol values: | 1 | 1 | 0 | 1 | 0 | 1 |
| Products: | 1*32=32 | 1*16=16 | 0*8=0 | 1*4=4 | 0*2=0 | 1*1=1 |
| Sum: | = 32 + 16 + 0 + 4+ ... | |||||
Read now
Unlock full access