Binary-to-decimal conversionĭepending on the task, humans may need to convert the binary numbers computers use back to decimal. Similarly, a computer understands two numbering systems: binary and decimal. Someone who speaks both English and Spanish, for example, is considered bilingual because they understand two languages. One way to understand binary and decimal conversion is to think of them as two differing languages. Because human administrators use decimal, computing systems must convert decimal to binary for their use. Just as humans use the decimal numeral system - with the digits 0 through 9 - for all counting, money and financial transactions, computers use binary for data storage, data transmissions and numerical calculations.
Each digit represents a value: 1 is "on" or "true," while 0 is "off" or "false." What is binary?īinary is a numbering system that uses only the digits 1 and 0. These tasks also require the skill to convert from binary to decimal. As such, network practitioners must know how to convert IP addresses, subnet masks and default gateway information from dotted decimal notation into binary. Your address in question translates to 255.255.0.0 and then in dotted hexadecimal notation (is there such a thing?) it's FF.FF.00.00.Humans use decimal-based addressing, but computer networks and devices rely on binary-based addressing. The great thing about Hexadecimal is that it can represent this very easily as FF is 255. Your question is tagged with IP, so that uses dotted decimal notation - a lot easier than that.
Wikipedia's page on Hexadecimal goes into more detail. Sounds complicated right? It's not, really.
Another popular notation ix 0x.įor your example, there are 8 places. Hexadecimal: 0 1 2 3 4 5 6 7 8 9 A B C D E F 10 11 12 13 14Ġ* indicates that it's base 16 (although this is the first time I've seen it). In hexadecimal, one placeholder can have values 0 through 15. Since we're used to only 10 digits, we substitute letters for 11 through 15. The same idea applies to base 16 (e.g., hexadecimal - hex meaning 6 and decimal meaning 10 - 16). Has a '3' in the 1 place that's worth 3.Has a '2' in the 10 place that's worth 20.Has a '1' in the 100 place that's worth 100.Each placeholder is worth whatever the base is set to.
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