My web site - 1360 Number Systems (on CD) Appendix E Positional
1360 Number Systems (on CD) Appendix E Positional values in the hexadecimal number system Decimal digit 3 D A Position name Two-hundred-and-Sixteens Ones fifty-sixes Positional value 256 16 1 Positional value as a 162 161 160 power of the base (16) Fig. E.6Positional values in the hexadecimal number system. Fig. For longer hexadecimal numbers, the next positions to the left would be the four-thousand-and-ninety-sixes position (16 to the 3rd power), the sixty-five-thousand-five-hundred-and-thirty-six position (16 to the 4th power), and so on. E.2 Abbreviating Binary Numbers as Octal Numbers and Hexadecimal Numbers The main use for octal and hexadecimal numbers in computing is for abbreviating lengthy binary representations. Figure E.7 highlights the fact that lengthy binary numbers can be expressed concisely in number systems with higher bases than the binary number system. Decimal number Binary{ representation Octal representation Hexadecimal representation 0 0 0 0 1 1 1 1 2 10 2 2 3 11 3 3 4 100 4 4 5 101 5 5 6 110 6 6 7 111 7 7 8 1000 10 8 9 1001 11 9 10 101012 A 11 101113 B 12 110014 C 13 110115 D 14 111016 E 15 111117 F 16 10000 20 10 Fig. E.7Decimal, binary, octal, and hexadecimal equivalents. Fig.
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