IEOR: Bitwise Logical Exclusive OR

The exclusive IEOR function is used to set the result bit when the bits of its 2 arguments are different, otherwise the bit is zero.

• to
  bitwise_either-or
  x and y:
  • result = IEOR( x, y )
  the bit-by-bit result-bit is 1 if x-bit and y-bit differ, and is 0 if x-bit and y-bit are equal:
  • result = IEOR( 3, 10 ) ! result is 9:
  • 3 == 0000000000000000000000000000000000000000000000000000000000000011
  • 10 == 0000000000000000000000000000000000000000000000000000000000001010
  • 9 == 0000000000000000000000000000000000000000000000000000000000001001
• precision is a normalized 53-bit fraction of the 8-byte IEEE T_floating format
• IOR to set bit n:
  • result = IOR(argument, 2^n) ! with n = 0 ... 53
  • bits0and2 = IOR(2^0, 2^2) ! is set to 1 + 4 = 5
• IAND to test bit n :
  • result = IAND(argument, 2^n) /= 0 ! with n = 0 ... 53
  • bit3set = IAND( bits0and2, 2^3) ! evaluates to 0
• NOT to toggle bits of argument:
  • result = NOT( argument )
• IAND to clear bit n :
  • result = IAND(argument, NOT(2^n)) ! with n = 0 ... 53
  • clearbit0 = IAND( bits0and2, NOT(2^0) ) ! evaluates to 4