COMPARISONS 
x>y x>0 x≤y x≤0
Executes the next step if the condition is true.
Otherwise the next step is ignored. 

REGISTERS 
STO nn
Store x directly in the register nn.

nn = 0..99 
RCL nn
Recall directly to x the value in register nn.

nn = 0..99 
x≷ nn
Exchange x with the value in register nn. 
nn = 0..99 
STi nn
Store x in the register defined by the value in register nn. 
nn = 0..99 (also range of target register) 
RCi nn
Recall from the register defined by the value in register nn. 
nn = 0..99 (also range of target register) 
xi≷ nn
Exchange x with the register defined by the value in register nn. 
nn = 0..99 (also range of target register) 
ISG nn
Increment the value in register nn by a given increment (default 1.) If the value becomes greater
than a given limit (default 0), skip the next program step.
For more details, see the description in the right column of this page. 
nn = 0..99 
DSE nn
Decrement the value in register nn by a given increment (default 1.) If the value becomes equal
to a given limit (default 0), skip the next program step.
For more details, see the description in the right column of this page. 
nn = 0..99 
P≷S
Swap primary registers R0..R9 with secondary registers R.0..R.9.


CLR ALL
Clear all registers R00..R99.


CLR EXT
Clear extended registers R20..R99.

Note: R00..R19 are cleared by the standard instruction f REG. 
CLRGX
Clear a range of registers with an optional increment argument.

If register X contains bb.eeii,
all registers from Rbb to Ree will be set to 0.
ii is the increment value.
If larger than 1, only every iith register will be cleared.
If ii = 0 or not specified, it is set to 1.
Rbb is always cleared, irrespective of the other parameters.
Rbb may be larger than Ree. 
REGCOPY
Copy a range of registers to a different location. 
If register X contains ss.ddnn,
then nn registers will be copied from Rss to Rdd.
Source and destination ranges may overlap.
The operation is stopped prematurely if either the source or the destination location exceeds R99.

REGSWAP
Swap the contents of two ranges of registers.

If register X contains ss.ddnn,
then nn registers will be copied from Rss to Rdd.
The operation is stopped permaturely if either the source or the destination location exceeds R99. 
REGS
Show the Register View (primary and secondary registers) 
Note that you can run/stop or singlestep a program in Register View.
(Tap the ? to see how.)
R.9 is shown formatted for easy identifying the loop control parts.

REGS ALL
Show the Extended Register View (registers R00..R99) 
When the Extended Register View is already visible,
executing REGS ALL will refresh the view.
You can run/stop a program in the Extended Register View. 
STi
(Imported from RPN32 only. Use STi 09 instead.)
Store x indirectly in the register defined by the integer part of R.9 (range: 0..99). 
Since R.9 is used as register address, looping through a range of registers is possible via the ISG and DSE commands.
After import from RPN32, the instruction is automatically converted to STi 09. 
RCi
(Imported from RPN32 only. Use RCi 09 instead.)
Recall indirectly to x the value in the register defined by the integer part of R.9 (range: 0..99). 
Since R.9 is used as register address, looping through a range of registers is possible via the ISG and DSE commands.
After import from RPN32, the instruction is automatically converted to RCi 09. 
x≷i
(Deprecated. Use xi≷ 09 instead.)
Exchange x indirectly with the value in the register defined by the integer part of R.9. 
The accepted range is 0..99. 
STACK OPERATIONS 
R↑
Rolls the stack up


STO N STO–N STO+N STO×N STO÷N
RCL N RCL–N RCL+N RCL×N RCL÷N
Stack arithmetic between X and any stack register N, incl. LastX
(To specify N: see NOTE at the top of this table.) 
N: 0 = LastX
1 = X 2 = Y 3 = Z 4 = T
Tip: RCL X duplicates x without disabling automatic stack lift (as opposed to ENTER). 
STi N STi–N STi+N STi×N STi÷N
RCi N RCi–N RCi+N RCi×N RCi÷N
Indirect register arithmetic between X and any register addressed by stack register N, incl. LastX
(To specify N: see NOTE at the top of this table.) 
N: 5 = LastX
6 = X 7 = Y 8 = Z 9 = T
Example: 25 π STi+Y would add π to the value in R25

ISG N
Increment the value in stack register N by a given increment (default 1.) If the value becomes greater
than a given limit (default 0), skip the next program step.
For more details, see the description in the right column of this page.
(To specify N: see NOTE at the top of this table.) 
N: 0 = LastX
1 = X 2 = Y 3 = Z 4 = T
Example: 25 STO Z ISG Z
would increment and test the value in Z

ISGi N
Increment the value in the register nn (0..99) defined by the value in stack register N
by a given increment (default 1.) If the value becomes greater
than a given limit (default 0), skip the next program step.
For more details, see the description in the right column of this page.
(To specify N: see NOTE at the top of this table.) 
N: 5 = LastX
6 = X 7 = Y 8 = Z 9 = T
Example: 25 STO Z ISGi Z
would increment and test the value in R25

DSE N
Decrement the value in stack register N by a given increment (default 1.) If the value becomes equal to a given limit (default 0), skip the next program step.
For more details, see the description in the right column of this page.
(To specify N: see NOTE at the top of this table.) 
N: 0 = LastX
1 = X 2 = Y 3 = Z 4 = T
Example: 25 STO Z DSE Z
would decrement and test the value in Z

DSEi N
Decrement the value in the register nn (0..99) defined by the value in stack register N
by a given increment (default 1.) If the value becomes equal to a given limit (default 0), skip the next program step.
For more details, see the description in the right column of this page.
(To specify N: see NOTE at the top of this table.) 
N: 5 = LastX
6 = X 7 = Y 8 = Z 9 = T
Example: 25 STO Z DSEi Z
would decrement and test the value in R25

x≷N
Swap x with any stack register N, incl. LastX
(To specify N: see NOTE at the top of this table.) 
N: 0 = LastX
1 = X 2 = Y 3 = Z 4 = T
Example: x≷Z would swap x with the value in Z

xi≷N
Swap x indirectly with any register addressed by stack register N, incl. LastX
(To specify N: see NOTE at the top of this table.)

N: 5 = LastX
6 = X 7 = Y 8 = Z 9 = T
Example: 25 STO Z xi≷Z would swap x with the value in R25

Y≷T
Swaps y and t 

Y≷Z
Swaps y and z 

Z≷T
Swaps z and t 

XY≷ZT
Swap x,y with z,t. 

XY→ZT
Copy x and y into Z and T, respectively. 

Z→X
Brings z to X, keeping the other operands in the same order. 

DELY
Removes y and lowers the part of the stack above X 

REV STK
Reverses stack order 

PUSH STK
Saves entire stack on a 4level "stack of stacks" 

POP STK
Copies the latest PUSHed stack to the regular stack and drops the "stack of stacks". 
The oldest entry is copied down to level 3 (like T to Z on the regular stack.)
If the "stack of stack" is empty, POP STK clears the regular stack.
CLEAR REG removes all pushed stacks. 
FLAGS 
F? n
Executes the next step if flag n is set. n = 0..9.
Otherwise the next step is ignored. 
To enter the command F? 7:
• In RUN mode enter the number 7.
• In PRGM mode select the F? n function.
• The function will appear as F? 7. 
SF n
Sets flag n 
To set flag 4:
• In RUN mode enter the number 4.
• In PRGM mode select the SF n function.
• The function will appear as SF 4.
Set flags appear as highlighted register numbers in Register View.
Note that F3 is automatically set when entering a number. 
CF n
Clears flag n 
To clear flag 1:
• In RUN mode enter the number 1.
• In PRGM mode select the CF n function.
• The function will appear as CF 1. 
CFLAGS
Clears all flags F0…F9.

f REG or setting the power switch to OFF also clears all flags.
Note that flags F2 and F3 are automatically cleared on testing (F? 2, F? 3).

SYSTEM 
BEEP
Notification sound 
Recommended to signal that the program requires the user's attention. 
DONE
Completion sound 
Recommended to signal that a result is available. 
OHNO
Error sound 
Recommended to signal an error or failure situation. 
SND nn
Plays the sound ss stored in register nn.
ss: remainder of dividing the positive integer part of the stored value by 100.
Sounds 70..79: dial tones of keys 0..9, respectively. 80 = * key. 
Sample program using R5 to play all sounds (set PAUSE to 2 secs):
01 CLR REG
02 RCL 5
03 SND 05
04 PAUSE
05 ISZ 05
06 GTO 02

SEC
Returns in x the number of seconds since midnight. 

ERROR nn
Halts program execution and displays Error.
nn defines a status message shown below the display.
nn+10 accompanies the message with an error sound.

Available messages:
00 [empty] 05 x too small
01 x = 0 not allowed 06 x too large
02 y = 0 not allowed 07 x must be ≤ 1
03 x must be ≥ 0 08 x has become 0
04 x must be integer 09 Limit exceeded

UTILITIES 
DECR
Decrements x by 1 
Useful in tests like "IF condition = true THEN decrement x" since only one step is required 
INCR
Increments x by 1 
Useful in tests like "IF condition = true THEN increment x" since only one step is required 
MIN
Compares x and y and puts the smaller value into X, the larger into Y 

MAX
Compares x and y and puts the larger value into X, the smaller into Y 

SIGN
Returns 1 if x < 0, 0 if x = 0, +1 if x > 0 

ODD
Returns 1 if INT(x) is odd, 0 otherwise


DIV
Returns in X the integer value of y/x. The sign is the same as x. 

MOD
Returns in X the remainder of y/x, in
Y the remainder of y/x 

RATIO
Converts x to a close rational y/x, with numerator and denominator limited to y (1E6 if y = 0 or noninteger).

y = 1000, x = π: RATIO = 355/113
y = 1E5, x = e: RATIO = 49171/18089 
EXP/MANT
Returns in X the mantissa, in Y the exponent of x.


CHG MAG
Changes the magnitude of y by x: if y is positive, then x is added, otherwise subtracted from y. 
y = 5, x = 3: CHG MAG = 8 y = 5, x = 3: CHG MAG = 8 
CHOP
Returns 0 if the absolute value of x is less than 5E10. Useful for eliminating floatingpoint representation errors. 

HYPERBOLICS 
SINH COSH TANH
Calculates the hyperbolic sine, cosine, or tangent.

sinh 3.2 = 12.25, cosh 3.2 = 12.29, tanh 3.2 = 1.00 
SINH^{1} COSH^{1} TANH^{1}
Calculates the inverse hyperbolic sine, cosine, or tangent.

sinh^{1} 51.777 = 4.64, cosh^{1} 51.777 = 4.64 (x≥1), tanh^{1} 0.777 = 1.04 (1<x<1) 
STATISTICS 
L.R.
Linear regression. Computes yintercept and slope for the linear function approximated by x and y values accumulated using ∑+.
The value of the yintercept is placed in the Xregister; the value of the slope is placed in the Yregister.

sinh 3.2 = 12.25, cosh 3.2 = 12.29, tanh 3.2 = 1.00 
ŷ
Linear estimate. Computes estimated value of y for a given value of x.

sinh^{1} 51.777 = 4.64, cosh^{1} 51.777 = 4.64 (x≥1), tanh^{1} 0.777 = 1.04 (1<x<1) 
x̂
Linear estimate. Computes estimated value of x for a given value of y.

Exchanges R0..R3 with RS0..RS3.

x̅,y̅
Computes means (averages) of x and y values accumulated using ∑+.

Exchanges R4..R9 with RS4..RS9.

x̅w,s
Computes weighted mean and standard deviation of x values with frequency y accumulated using ∑+. 

r
Correlation coefficient. Computes "goodness of fit" between the x and y values accumulated using ∑+ and
the linear function which they approximate.


sx,sy
Computes standard deviations of x and y values accumulated using ∑+.


Q
Computes area under the standard normal distribution curve to the left of x.


Q^{1}
Computes x, given the area under the standard normal distribution curve to the left of x.


SWAP∑
Swap statistical values with locations used on RPN32, and vice versa.

RPN32 
RPN25 
Statistics 
R.0 
R3 
n 
R.1 
R7 
∑x 
R.2 
R6 
∑x² 
R.3 
R4 
∑y 
R.4 
R8 
∑y² 
R.5 
R5 
∑xy 

P(y,x)
Permutations of y objects taken x at a time.

P(7,5) = 2520
P(y,x) = y!/(yx)!
For very large but close values of x and y, the function LN(x!) may prove useful. 
C(y,x)
Combinations of y objects taken x at a time (binomial coefficient.).

C(7,5) = 21
C(y,x) = y!/(x!(yx)!) 
MISCELLANEOUS 
∆%
Percent difference between x and base y. 

%∑
Percent that x is of ∑x (R7). 

%MARKUP
Percentage to add to cost price to make a gross profit of x%. 
To make a profit of 30%, what is the percentage of markup?
Answer: 42.86% 
∛x
Cube root of x.

x = any positive or negative real number 
TIME
24hr time (hours, minutes, secs, 1/1000 secs)

To measure program execution time in secs.ms:
TIME CHS STO.8 {execute program}
TIME RCL.8 H.MS+ EEX 4 ×

H.MS+
Adds hours, minutes, seconds, or degrees, minutes, seconds in Yregister to those in displayed Xregister.


PSE LEN
Extended pause length.
Sets pause length used by the PAUSE instruction to any value 0 < x ≤ 86,400 seconds. The value x = 0 restores the standard pause length defined in Settings.
Seconds remaining are shown in the status display.
If x < 0, the last 10 seconds are counted down with sound. 
An extended pause in progress does not fade the PAUSE message.
The pause may be ended by pressing any key.
If ending the pause in a running program, the program stops.
Exceptions: number keys, decimal point, CHS, EEX. This allows inputting a number while pausing.
If the number input is followed by ENTER, a paused program will resume running. 
LOGy
Logarithm of x to base y.

log_{7} 5 = 0.8271 
LN(x!)
Logarithm of x!, where 0 < x < 4.4673257•10^{97}.

To divide 439 ! by 433 ! :
439 LN(x!) 433 LN(x!)  e^{x} = 6.1965•10^{15}

LN(1+x)
Highprecision logarithm of x, where x is very close to 0. 
With x = π•10^{12}:
"LN(1+x)" ➝ 3.141592654•10^{12}
1 + LN ➝ 3.141709115•10^{12}

e^{x}1
Highprecision antilog of x, where x is very close to 0. 
With x = π•10^{12}:
"e^{x}1" ➝ 3.141592654•10^{12}
e^{x} 1  ➝ 0.000000000 
ERF,ERFC
Returns in X the Gauss error function of x, in Y the complementary error function. 
ERF(π/2) = 0.9736789251
ERFC(π/2) = 0.02632107492 
Bernoulli
Returns the xth Bernoulli number, where x = pos. integer 0 ≤ x ≤ 117. 
Returns 0 if x is odd and > 1.
Returns 0.5 if x = 1 (by NIST convention)
Bernoulli(4) = 1/30 = 0.0333..., Bernoulli(10) = 5/66 = 0.075757576 
BesselJ
Returns the Bessel function of the 1st kind of order y of x. [x ≥ 0 and y = pos. integer] 
BesselJ(1,π) = 0.2846153432 (order 1)
BesselJ(3,π) = 0.3334583362 (order 3) 
BesselY
Returns the Bessel function of the 2nd kind of order y of x. [x > 0 and y = pos. integer] 
BesselY(1,π) = 0.3588729168 (order 1)
BesselY(3,π) = 0.4860704563 (order 3) 
Zeta
Returns the Riemann zeta function ζ(x), where x ≥ 118.2893468 
Returns overflow if x = 1, 0 if x = negative even integer.
ζ(2) = π^{2}/6 = 1.6449, ζ(3) = 1.202056903 (Apéry's constant) 
RAN#
Returns a random number 0 ≤ x < 1 

FILL RAN#
Fills registers R0..R.8 with random numbers r in the range x <
r < +x. If x = 0, then x = 1. 
x = 40:
Registers will be filled with random numbers from 39.9999.. to +39.9999.. 
GCD
(Highest Common Factor). Finds the largest positive integer which divides both positive integers x and y. 
GCD(51,119) = 17 
LCM
(Least Common Multiple).
Finds the smallest positive integer that both positivie integers x and y can divide. 
LCM(51,119) = 357 
PRIME?
Determines if x is a prime number. If yes, flag 0 is set, otherwise flag 0 is cleared.
x integer and ≤ 4,294,967,295 
Prime numbers: 4567, 78,901, 2038074743
Largest prime found: 4,294,967,291
Note that the state of flag 0 is shown in register view (0: highlighted if set) 
QUAD/CUBE
Solves quadratic and cubic equations

Quadratic equation: ax² + bx + c = 0. Arguments: 0 in T, a in Z, b in Y, c in X
Returns: x,y = x₁,x₂ or u,v (if conjugate complex solution, u ± iv), z = discriminant
Cubic equation: ax³ + bx² + cx + d = 0. Arguments: a in T, b in Z, c in Y, d in X
Returns: x,y,z = x₁,x₂,x₃ or x₁,u,v (if type = 1)
t = type of roots (1: one real, two complex; 2: three real, at least two equal; 3: three real and distinct) 
LIN EQ2
Solves system of linear equations in two unknowns:
ax + by = c
dx + ey = f

Input values:
a b c = R4 R5 R6
d e f = R1 R2 R3
Example:
7.32x  9.08y = 3.14
12.39x + 7y = 0.05
Solutions:
x = 0.14, y = 0.24, Det = z = 163.74

LIN EQ3
Solves system of linear equations in three unknowns:
a_{11}x+a_{12}y+a_{13}z = b_{1}
a_{21}x+a_{22}y+a_{23}z = b_{2}
a_{31}x+a_{32}y+a_{33}z = b_{3}

Input values:
a_{11} a_{12} a_{13} = R7 R8 R9
a_{21} a_{22} a_{23} = R4 R5 R6
a_{31} a_{32} a_{33} = R1 R2 R3
b_{1} b_{2} b_{3} = R.1 R.2 R.3
Example:
3.14x + 10.02y  7z = 1
0.25x + 30.3y  9.1z = 2
3.5x + 27.4y + 8z = 3
Solutions:
x = 0.29, y = 0.11, z = 0.14, Det = t = 1052.86

COMPLEX NUMBERS 
c_+
Complex add z+it to x+iy 

c_
Complex subtract x+iy from z+it 

c_×
Complex multiply x+iy by z+it 

c_÷
Complex divide z+it by x+iy 

c_ENTER
Copy x+iy to z+it 

c_CHS
Complex change sign of x+iy 

c_x≷y
Exchange x+iy with z+it 

c_R↓
Complex roll down 

c_STO n
Complex store x+iy in Rn (n = 0..9) 
To enter the command c_STO 2:
• In RUN mode enter the number 2.
• In PRGM mode select the c_STO n function.
• The function will appear as c_STO 2. 
c_RCL n
Complex recall x+iy from Rn (n = 0..9) 
To enter the command c_RCL 5:
• In RUN mode enter the number 5.
• In PRGM mode select the c_RCL n function.
• The function will appear as c_RCL 5. 
c_LASTx
Complex retrieve x+iy from LastX 

c_ABS
Complex absolute value of x+iy 
3+4i = 5.00 
c_RND
Complex round to display x+iy 

c_LN
Complex ln(x+iy) 
ln(i) = 1.57i 
c_e^{x}
Complex e^{x+iy} 
e^{1.57i} = 1.00i 
c_LOG
Complex log(x+iy) 
log(i) = 0.6822i = π/(2·ln(10)i 
c_10^{x}
Complex 10^{x+iy} 
10^{1.57i} = 0.89 0.46i 
c_LOGz
Complex log(x+iy) to complex base (z+it) 
log_{(1+i)}(1.49+4.13i) = 2.001.00i 
c_y^{x}
Complex (z+it)^{x+iy} (where z+it ≠ 0) 
(1+i)^{2  i} = 1.49+4.13i 
c_1/x^{}
Complex reciprocal of (x+iy) 
1/(2+3i) = 0.150.23i 
c_√x
Complex square root of (x+iy) 
√(7+6i) = ±(2.85+1.05i) 
c_x^{2}
Complex square of (x+iy) 
√(72i) = 45.0028.00i 
c_x!
Complex factorial of (x+iy) = Γ(x+1 + iy) 
(72i)! = 2368.80+3064.87i
Note: (72i)! = Γ(7+12i) = Γ(82i) 
c_SIN, c_COS, c_TAN
Complex sine, cosine, tangent of (x+iy). All angles in radians. 
sin(2+3i) = 9.154.17i cos(2+3i) = 4.199.11i tan(2+3i) = 0.004+1.003i 
c_SIN^{1}, c_COS^{1}, c_TAN^{1}
Complex arc sine, arc cosine, arc tangent of (x+iy) 
sin^{1}(5+8i) = 0.562.94i
cos^{1}(5+8i) = 1.012.94i tan^{1}(5+8i) = 1.51+0.09i 
c_SINH, c_COSH, c_TANH
Complex hyperbolic sine, cosine, tangent of (x+iy) 
sinh(32i) =4.179.15i
cosh(1+2i) = 0.64+1.07i
tanh(1+2i) = 1.170.24i 
c_SINH^{1}, c_COSH^{1}, c_TANH^{1}
Complex inverse hyperbolic sine, cosine, tangent of (x+iy) 
sinh^{1}(85i) = 2.940.56i
cosh^{1}(5+8i) = 2.94+1.01i
tanh^{1}(85i) = 0.091.51i 
CONVERSIONS 
→RAD →DEG
Converts decimal degrees to radians, and vice versa 

→in →mm
Converts millimeters to inches, and vice versa 

→ft.in →cm
Converts centimeters to feet and inches, and vice versa. Use 2 digits to indicate inches after the decimal point. 
164 cm = 5.0457 = 5'4.57"
5'5" = 5.05' = 165.10 cm 
→ft →m
Converts meters to feet, and vice versa 

→ac →m^{2}
Converts square meters to acres, and vice versa 

→°F →°C
Converts degrees Celsius to degrees Fahrenheit, and vice versa 
0°C = 32°F, 100°C = 212°F, 37°C = 98.6°F
460°F = 273.33°C, 40°F = 40°C 
→oz →g
Converts grams to ounces, and vice versa 

→lbm →kg
Converts kilograms to pounds (mass), and vice versa 

→gal →ltr
Converts liters to gallons, and vice versa 
20 ltr = 5.28 gal
61.55 gal = 232.99 ltr 
→cup →dl
Converts deciliters to cups (US), and vice versa 
2 dl = 0.85 cups
1.5 cups = 3.55 dl 
→tbs →g (H_{2}O)
Converts grams (water) to tablespoons, and vice versa 
15 g = 1.01 tbs
6 tbs = 88.72 g 
→bbl →liter
Converts liters to barrels (US, oil), and vice versa 
500 ltr = 3.14 bbl
1 bbl = 158.99 ltr 
gas US gas UK
Express miles per gallon as liters per 100 km, and vice versa. Select US or UK units. 
8.4 ltr per 100 km ⇄ 28.00 mpg (US), 28 ltr per 100 km ⇄ 8.4 mpg (US)
8.4 ltr per 100 km ⇄ 33.63 mpg (UK), 33.63 ltr per 100 km ⇄ 8.4 mpg (UK) 