How to convert a 24 bit, two’s complement value into a signed integer?

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Michael Simson 2014-6-10

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https://ww2.mathworks.cn/matlabcentral/answers/133547-how-to-convert-a-24-bit-two-s-complement-value-into-a-signed-integer

评论： Balamurugan S 2018-4-19

I want to read an AD converter using the Raspberry Pi SPI interface controlled by Matlab. The AD converter outputs 24 bit data in the two's complement format, MSD first. The Matlab writeRead command returns the data as a row vector of data type char

How can I quickly translate the data into an integer of data type int32 ?

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Walter Roberson 2018-4-19

在 MATLAB Online 中打开

>> P=[1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1]
P =
  Columns 1 through 23
     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1
  Columns 24 through 46
     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1
  Columns 47 through 64
     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1     0     1
>> swapbytes(typecast(uint8(bin2dec(char(reshape(P,8,[]).' + '0'))),'int64'))
ans =
  int64
   -3

Looks like -3 to me.

Balamurugan S 2018-4-19

Thank you very much for your timely help Walter Roberson.

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James Tursa 2014-6-10

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编辑：James Tursa 2014-6-10

在 MATLAB Online 中打开

s = 2's complement 24-bit string to convert
b = [s([1 1 1 1 1 1 1 1]) s]; % sign extension
k = typecast(uint32(bin2dec(b)),'int32'); % equivalent decimal number

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Evangelos 2014-10-17

This is also very helpful to me. However I have one question. When you say 24-bit string you mean something like 0bxxxxxxxxxxxxxxxxxxxxxxxx or a 24-bit hex string like 0xaaaaaa ?

Guillaume 2014-10-17

This is is obviously a 24-bit binary string. Hence the extension by 8 bits to 32 bits.

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Murat Belge 2014-6-10

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在 MATLAB Online 中打开

There is an example MATLAB class in Raspberry Pi support package that does something similar for MCP300x ADC's. Here is the readVoltage() method for this class:

function voltage = readVoltage(obj, adcChannel)
    validateattributes(adcChannel, {'numeric'}, ...
       {'scalar', '>=', 0, '<=', obj.NumAdcChannels-1}, '', 'adcChannel');
    adc = obj.getAdcChannelSelect(adcChannel);
    data = uint16(obj.spiObj.writeRead([1, adc, 0])); 
    highbits = bitand(data(2), obj.Lsb2);
    voltage = double(bitor(bitshift(highbits, 8), data(3)));
    voltage = (obj.VoltageReference/1024) * voltage;
end

where obj.Lsb2 is defined as bin2dec('00000011'). The value read from ADC is 10-bits stashed into two 8-bit values. The upper two-bits is in byte 2 and the 8 least significant bits are in byte 3.

You can take a look at the entire class definition here:

<Support package installe dir>\raspi\+raspi\+internal\mcp300x.m