10-154r1 To: J3 From: Robert Corbett/Stan Whitlock Subject: Interpretation Request: Can zero have more than one bit sequence representation? Date: 2010 June 15 NUMBER: F03/0007 TITLE: Can zero have more than one bit sequence representation? KEYWORDS: zero, bits DEFECT TYPE: Interpretation STATUS: J3 consideration in progress QUESTIONS: Question (1): Some processors provide two internal representations for the integer value zero. The ones' complement representation of signed integers and the signed-magnitude representation of signed integers both provide two representations for zero. Must a processor for such a machine use a bit sequence consisting of all zero bits to represent zero, regardless of the internal representation of zero? Question (2): The Fortran 2008 standard [13.3.1, 317:9] states The interpretation of a negative integer as a sequence of bits is processor dependent. Could a standard-conforming processor interpret all negative integers as a sequence of all zero bits? ANSWERS: Answer to question (1): Yes. The standard does not allow for more than one bit representation of zero. Answer to question (2): No. The standard specifies that the integer value of a string of all zero bits is zero. The standard does not specify the integer values for bit strings when the leftmost bit is one. A processor could interpret all negative integers as a sequence of a one followed by all zero bits. It would not be a useful bit representation but it is not disallowed. EDITS to 10-007: None. SUBMITTED BY: Robert Corbett HISTORY: 10-154 m192 F03/0007 submitted 10-154r1 m192 Draft answer