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Binary system basics

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binary system basics

System electronic circuits rely on the binary number system. Thus, before you can understand the details of how digital circuits work, you need to understand how the binary numbering system works. Binary is one of the simplest of all number systems because it has only two numerals: 0 and 1. In the decimal system with which most people are accustomedyou use 10 numerals: 0 through 9. In an ordinary decimal number, such as 3,482, the rightmost digit represents ones; the next digit to the left, tens; the next, hundreds; the next, basics and system on. These digits represent powers of ten: first binary is 1 ; next, ; then ; then ,000 ; and so on. In binary, you have only two numerals rather than ten, which is why binary numbers look somewhat monotonous, as in, and The positions in a binary number binary bits rather than digits represent powers of two rather than powers of system 1, 2, 4, 8, 16, 32, and so on. To figure the decimal value of a binary number, you multiply each bit by its corresponding power of two and then add the results. If you allot six digits, for example, the largest number possible is 999, Because 0 is itself a number, however, a 6-digit number can have any of 1 million different values. Similarly, basics number of bits allotted for a binary number determines how large that number can be. If you allot 8 bits, the largest value that number can store iswhich happens to be in decimal. Thus, a binary number that basics 8 bits long can have any of different values including To quickly figure how many different values you can store in a binary number of a given length, use the number of bits as an exponent of two. An 8-bit binary number, for example, can hold values. Because is 256, an 8-bit number can have any of different values. This is why a byte — 8 bits — binary have different values. binary system basics

2 thoughts on “Binary system basics”

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