TABLE BINARY DATA FORMATS DATA CONVERSION SCALE +Full Scale +0.75 Full

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TABLE BINARY DATA FORMATS DATA CONVERSION SCALE +Full Scale +0.75 Full

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Many Intersil products have selectable data formats their input/output interfaces. Table defines codes used these interfaces. Because many applications involve conversion analog signals, analog scale given reference. This table should clarify interface parts data conversion device. Table also helps users understand basis each these formats. following definitions offered basis each code format: Offset Binary: binary code which code represents analog values between Full Scale -Full Scale. zero corresponds -Full Scale. This code balanced appending below LSB. Complement: binary code which positive negative codes same magnitude zero's plus carry. complement generated from Offset Binary code inverting MSB. negative number generated inverting each positive number, then adding one. Example: (+3) (-3) Complement: Bipolar binary code which positive negative codes same magnitude one's. negative number generated investing each positive number. Example: (+3) (-3) Sign Magnitude: binary code which represents positive negative polarities. code table uses offset binary code represent magnitude portion number.
TABLE BINARY DATA FORMATS DATA CONVERSION SCALE +Full Scale +0.75 Full Scale +0.5 Full Scale +0.25 Full Scale -0.25 Full Scale -0.5 Full Scale -0.75 Full Scale -Full Scale -Full Scale 0110.0000 0100.0000 0010.0000 0000.0001 0000.0000 1110.0000 1100.0000 1010.0000 1000.0001 1000.0000 OFFSET BINARY 1111.1111 1110.0000 1100.0000 1010.0000 1000.0000 COMPLEMENT 0111.1111 0110.0000 0100.0000 0010.0000 0000.0000 COMPLEMENT 0111.1111 0110.0000 0100.0000 0010.0000 0000.0000 1111.1111 1101.1111 1011.1111 1001.1111 1000.0000 SIGN MAGNITUDE 1111.1111 1110.0000 1100.0000 1010.0000 1000.0000 0000.0000 0010.0000 0100.0000 0110.0000 0111.1111
http://www.intersil.com 407-727-9207 Copyright
Intersil Corporation 1999
Application Note 9657
example, let's plot cosine wave each data formats. Assume that full scale ±1V. Table details values sampled sinusoid each data formats. Figures through illustrate these signals when converted back analog using offset binary converter.
TABLE SAMPLED COSINE SIGNAL REPRESENTATION 0.980785 0.92388 0.83147 0.707107 0.55557 0.382683 0.19509 -0.19509 -0.38268 -0.55557 -0.70711 -0.83147 -0.92388 -0.98079 -0.98079 -0.92388 -0.83147 -0.70711 -0.55557 -0.38268 -0.19509 0.19509 0.382683 0.55557 0.707107 0.83147 0.92388 0.980785 COS(nT/16) OFFSET BINARY 11111 11111 11110 11100 11010 11000 10101 10010 10000 01100 01001 00110 00100 00010 00001 00000 00000 00000 00001 00010 00100 00110 01001 01100 10000 10010 10101 11000 11010 11100 11110 11111 11111 COMPLEMENT 01111 01111 01110 01100 01010 01000 00101 00010 00000 11100 11001 10110 10100 10010 10001 10000 10000 10000 10001 10010 10100 10110 11001 11100 00000 00010 00101 01000 01010 01100 01110 01111 01111 COMPLEMENT 01111 01111 01110 01100 01010 01000 00101 00010 00000 11101 11010 10111 10101 10011 10001 10000 10000 10000 10001 10011 10101 10111 11010 11101 00000 00010 00101 01000 01010 01100 01110 01111 01111 SIGN MAGNITUDE 11111 11111 11110 11100 11010 11000 10101 10010 10000 00010 00101 01000 01010 01100 01110 01111 01111 01111 01110 01100 01010 01000 00101 00010 10000 10010 10101 11000 11010 11100 11110 11111 11111
Application Note 9657 ANALOG MAGNITUDE DIGITAL MAGNITUDE DIGITAL MAGNITUDE DIGITAL MAGNITUDE
OFFSET BINARY
ANALOG MAGNITUDE
COMPLEMENT
(nT/16) -1.0
COS(nT/16)
TIME (nT)
-1.0
TIME (nT)
FIGURE OFFSET BINARY CODE PLOTTING COS(nT)
FIGURE COMPLEMENT BINARY CODE PLOTTING COS(nT)
DIGITAL MAGNITUDE ANALOG MAGNITUDE COMPLEMENT COS(nT) ANALOG MAGNITUDE
COS(nT/16)
SIGN MAGNITUDE
-1.0
TIME (nT)
-1.0
TIME (nT)
FIGURE COMPLEMENT BINARY CODE PLOTTING COS(NT)
FIGURE SIGN MAGNITUDE/OFFSET BINARY CODE PLOTTING COS(nT)
Note that solid line denotes regular cosine wave dashed line denotes plot digital format code, connected decimal.
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Intersil semiconductor products sold description only. Intersil Corporation reserves right make changes circuit design and/or specifications time without notice. Accordingly, reader cautioned verify that data sheets current before placing orders. Information furnished Intersil believed accurate reliable. However, responsibility assumed Intersil subsidiaries use; infringements patents other rights third parties which result from use. license granted implication otherwise under patent patent rights Intersil subsidiaries.
information regarding Intersil Corporation products, site http://www.intersil.com
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TABLE BINARY DATA FORMATS DATA CONVERSION SCALE +Full Scale +0.75 Full

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