Finite Arithmetics of Integers FORTRAN codes: INTEGER*2INTEGER HTML HTML version

value sign bit 2 n  1  1 to  2 n  1 value sign bit 8 1 2 3 4 5 6 7 bit Integers

Crossing boundaries (1) 1+7     8  1  8      8

Multiplication (division) by 2 3  2  left-shift   6 3/2  right-shift   1

Crossing boundaries (2) 4  2  L-S    8  8  2  L-S   0 For an n-bit object, 2 n  2  2  2 n  1 gives  2 n  1.  2 n  1  2 gives 0. codes