Octal number system

PRINCIPLES OF DIGITAL INSTRUMENTATION Binary and Octal Number Systems... 

The independent boolean variables in conformal coordinate scales have exactly the same order as in the boolean function argument list, as depicted in Fig. 1.46. Conformal assignment of the independent variables to the K-map coordinate scales makes the catenated position coordinates for a minterm (or maxterm) identical to the minterm (or maxterm) number. Utilization of this identity eliminates the need for the placement of minterm identification numbers in each square or for a separate position identification table. This significantly decreases the time required to construct K-maps and makes their construction less error prone. The minterm number, given by the catenation of the vertical and horizontal coordinate numbers, is obvious if the binary or octal number system is used. 

Octal to decimal conversion. We know that only 8 digits (0 to 7) are used in octal system. It is clear now that digits used in octal system cannot be more than 7. For converting an octal number to decimal, same steps are applicable as from binary system to decimal. 

Hexadecimal to decimal conversion. The system of number conversion from hexadecimal to decimal system is same as from binary to decimal and octal to decimal. The difference is only of their base value because binary number system has its base value as 2, octal has 8 and hexadecimal has 16. This can be understood by the following problem. 

Numeration systems continue to be invented to this day, especially when companies develop systems of serial numbers to identify new products. The binary (base 2), octal (base 8), and hexadecimal (or base 16) numbering systems used in computers were extensively developed in the late 1950s for processing electronic signals in computers. 

Table 9.10 Representation of Numbers in Decimal, Binary, Octal, and Hexadecimal Systems...

Molecules of heavier main-group elements show significant differences to compounds of elements from the first-octal row of the periodic system. The coordination number of the lighter elements is rarely larger than 4 while many stable molecules of the heavier elements with coordination number 5 and 6 are known. Another difference concerns the stability of molecules with multiple bonds. Many stable molecules with double or triple bonds between the lighter elements are well known, particularly compounds that have C=C, C=N, C=0,... 

Windows own calculator (Fig. 6.2) also tunes up the decimal system (Dec) by default but can work with hexadecimal (Hex), octal (Oct), and binary (Bin) systems. Entering nnmbers in Mathcad non-decimal system are shown by the suffix at the end of the number h hexadecimal, 0 octal, b binary. The absence of a suffix is a sign that a number is decimal. Similar suffixes finish numbers shown by the operator =. 

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