Decoding 101010101010
With the growth in the techno world new avenues for career are getting created day by day and one of the best careers to get in these days is IT field
. Networking is the need of the day, we find various network engineers who earning big bucks by doing certain certifications. These are Cisco certifications. Internetwork solutions a Cisco certification training company has a expert faculty base who train students for CCNP security, CCNP Voice, CCIE training, MCITP training, Cisco test, CCNA boot camp. They also aim to make students proficient in CCIE security boot camp, CCNP Voice bootcamp, CCNP security training and other courses. They have experts for all the major Cisco certification courses including Cisco CCIE security and other tracks of CCIE exams. In their web learning portal Internetwork solutions aims to provide students an introduction to the IT world and hence they publish various articles for the same.
The routing world awaiting for you. But before we plunge into its depths, it is imperative that we become fluent with conversions between decimal and binary numeral systems. Why? Because all electronic devices such as our beloved computers and routers use binary numbers. On the other hand, we humans tend to use decimal notations almost all the time.
Believe it or not but the binary numeral system is easier to understand than the decimal one. But our problem is that we have been using the decimal notation for so long that looking at anything different feels very awkward.
It is good to know that all numeral systems (binary, octal, decimal, hexadecimal, the-one-you-may-want-to-create) are based on the same foundations. There are two major components of a numeral system: the base and the exponent.
Formula. 1 - Numeral System Components - The Formula.
BaseExponent
I almost hear your thought: 'Eh... what?' Fear not. It's easy to understand if you remember the math at the elementary level.
The base in the above formula is determined based on how many digits (or characters) we use to denote the number. Consider the decimal system. We have exactly 10 digits to express the volume: 0,1,2,3,4,5,6,7,8,9. So, the in decimal numeral system the base = 10 (ten digits available). What happens when we have more of something than 9?
It is simple we engage a new column of numbers on the left and zero the number on the right: 10. This way we get ten. The first column denotes the number of 10s and the next column, denotes the units. As soon as we run out of numbers in the unit columns, we increase the number in the columns of tens. For instance: 17, 18, 19... 20.
What happens when we run out of the number of the column of tens? We add one more column on the left, which is the columns of 100s and zero all other columns on the right. For instance: 97, 98, 99... 100.
We know that in the four column number: 1048 the first column (1) on the left denotes thousands, the next to the right (0) denotes hundreds, the one next to it (4) denotes tens, and the last one (8) describes units. The column in each and every numeral system has the weight.
Using the formula you calculate the numbers in decimal as shown in the next picture .Each number in the column must be multiplied by the corresponding weight of the column. These in turn, must be added together to give you the number
In exact same way we create others such as the binary numeral system. Here, our base is going to use only two digits: 1 or 0 called bits. Thus, our base = 2 (only two digits available). Since, we most often cluster 8 bits together to form a byte.
This was just a general explanation for the binary world, you must have understood by now its easy and you can learn it quite easily. For further clarification you can contact Internetwork solutions directly.
by: Daniel
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