HP HP-16C - Remainder after Divisionand[Rmd]

Section 4: Arithmetic and Bit Manipulation Functions 43
The Carry Flag During Subtraction. The carry flag (flag 4, C
annunciator) will be set whenever a binary subtraction results in a
borrow into the most significant bit. Otherwise, the carry flag is
cleared. This is the same for all complement modes. (Note that
subtraction in the HP-16C is not computed as the addition of a
negative number; this affects how carry generation occurs.)
([STATUS]: 2-04-1000)
Carry Set Carry Cleared
0
-G 1010 o 0170
-(-4) ~1100 - —0001
2,0 1110, 5,6 0101,
The Out-of-Range Flag. Arithmetic results that cannot be
shown in the current word size and complement mode set the out-
of-range flag. For [¢], this occurs only in 2’s Complement mode
when the largest possible negative number is divided by —1.
Example: With a word size of 4 bits, calculate (7 + 6) in base 2 and
observe the effect on flags 4 and 5.
Keystrokes Display ([STATUS]: 2-04-0000)
Binary mode.
111 111 b 7.
110 110 b 6.
1101 b -3.Flag5 (out-of-range)
set; flag 4 (carry) cleared.
Remainder After Division and
In division, only the integer portion of the result is returned to the
X-register. If the remainder is not zero, flag 4 (carry) and the C
annunciator are set. If the remainder is zero, flag 4 is cleared.
To obtain the remainder instead of the quotient, press
instead of [£]. This calculates |y| MOD |x|. The sign of the result
matches the sign of the dividend (that is, the sign of y).