The overflow flag is thus set when the most significant bit ( here considered the sign bit ) is changed by adding two numbers with the same sign ( or subtracting two numbers with opposite signs ).
42.
It includes decimal floating-point formats and a 16-bit floating-point format ( " binary16 " ) . binary16 has the same structure and rules as the older formats, with 1 sign bit, 5 exponent bits and 10 trailing significand bits.
43.
5 > A COMPUTER USES A FLOATING-POINT REPRESENTATION COMPRISING A SINGNED MAGNITUDE FRACTIONAL MANTISSA AND AN EXCESS-16 base-8 exponent . what decimal number is represented bya a floating-point number whose exponent is 10011, mantissa 101000, and sign bit set?
44.
The most common standard is IEEE floating point which is composed of three bit patterns : a sign bit which represents whether the number is positive or negative, an exponent and a binary fraction in IEEE base-two floating point formats.
45.
Unlike the X1, the arithmetic unit of the X8 included floating point arithmetic, with a 41-bit mantissa and 12-bit exponent ( which adds up to 53 bits rather than 54; the reason is that there are two copies of the mantissa sign bit ).
46.
Here, XS and YS represent the sign bits of the movement vectors, XV and YV indicate an overflow in the respective vector component, and LB, MB and RB indicate the status of the left, middle and right mouse buttons ( 1 = pressed ).
47.
If the first two bits after the sign bit are " 11 ", then the second two bits are the leading bits of the exponent, and the last bit is prefixed with " 100 " to form the leading decimal digit ( 8 or 9 ):
48.
If the 2 bits after the sign bit are " 00 ", " 01 ", or " 10 ", then the exponent field consists of the 10 bits following the sign bit, and the significand is the remaining 53 bits, with an implicit leading 0 bit:
49.
The leading bit ( s in the above ) is a sign bit, and the following bits ( xxx in the above ) encode the additional exponent bits and the remainder of the most significant digit, but the details vary depending on the encoding alternative used.
50.
Unlike the binary integer significand version, where the exponent changed position and came before the significand, this encoding combines the leading 2 bits of the exponent and the leading digit ( 3 or 4 bits ) of the significand into the five bits that follow the sign bit.
