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256 Chapter 6 IMPLEMENTATION OF DISCRETE-TIME FILTERS
MATLAB Implementation Using (6.32), we can develop the
MATLAB function, TwosComplement, which obtains the two’s-complement
format representation. We can use the bitcmp function and then add one
to the result to obtain the two’s-complement. However, we will use the
last equality in (6.32) to obtain the two’s-complement since this approach
will also be useful for fractional numbers. The function can use scalar
as well as vector values. The result is a decimal equivalent of the two’scomplement
representation. As before, the dec2bin can be used to obtain
the binary code.
function y = TwosComplement(x,b)
% y = TwosComplement(x,b)
% ---------------
% Decimal equivalent of
% Sign-Magnitude format integer to b-bit Ones’-Complement format conversion
%
% x: integer between -2^(b-1) > y = TwosComplement(x,4)
y =
8 9 10 11 12 13 14 15 0 1 2 3 4 5 6 7
>> y = dec2bin(y,4); disp(sprintf(’%s’,[y’;char(ones(1,16)*32)]))
1000 1001 1010 1011 1100 1101 1110 1111 0000 0001 0010 0011 0100 0101 0110 0111
The two’s-complement format has many interesting characteristics
and advantages. These will be given after we discuss the next format,
namely the ten’s-complement.
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