Embedded Target for Texas Instruments C6000 DSPs

Signed Fixed-Point Numbers

Signed binary fixed-point numbers are typically represented in one of three ways:

• Sign/magnitude
• One's complement
• Two's complement

Two's complement is the most common representation of signed fixed-point numbers and is used by TI digital signal processors.

Negation using signed two's complement representation consists of a bit inversion (translation into one's complement) followed by the binary addition of a one. For example, the two's complement of 000101 is 111011, as follows:

000101 ->111010 (bit inversion) ->111011 (binary addition of a 1 to the LSB)

Fixed-Point Numbers

Q Format Notation