Department of Computer Scien

ce and Information Engineering

National Cheng Kung University, TAIWAN

HANEL

NUMBERING AND CODING SYSTEMSConverting from Binary to Decimal

‰Know the weight of each bit in a binary number‰Add them together to get its decimal equivalentEx. Convert 11001‰Use the concept of weight to convert a decimal number to a binary directly

to decimal 2

Weight:

(^42)
(^32)
(^22)
(^12)
(^02)
Digits: 11001Sum:
16 +8 +0 +0 +1 = 25
10
Ex. Convert 39
to binary 10
32 + 0 + 0 + 4 + 2 + 1 = 39 Therefore, 39
= 100111 10
2