Real number calculation using calculator.   Select "real number, DEG" from calculation mode.

Example	Calculation contents			Digit number	Calculation mode
Arithmetical operation	10+20-30*4/6 [execution]	10		6
Calculation with parenthesis	(2+3)*4 [execution]	20		6
Power calculation	3*4^2 [execution]	48		6
Calculation with Exponent	99*1.23E+3 [execution]	121770		6
Use of function	sqrt(4) [execution]	2		6
Increase of digit number	sin(12345) [execution] [setting] operation digit number from 6 to 10 [execution]	0.965926 0.9659258263		6 ↓ 10	real number DEG
Use of variable	sin(x) [execution] (variable) x = 456 [execution]	0.9945218954		10	real number DEG
Change of operation digit number	cos(12345) [execution] [setting] operation digit number from 10 to 22 [execution]	-0.2588190451 -0.2588190451025207623489		10 ↓ 22	real number DEG
Change of calculation mode	cos(123456) [execution] [setting] calculation mode from real number DEG to real number RAD [execution]	0.9135454576426008955021 -0.67229488165658452		22	real number DEG ↓ real number RAD
Repetition calculation x = 1,0.1,10 1: initial value 0.1: incremental value 10: repeat count	sin(x) [execution] (variable) x = 1, 0.1,10 [execution]	1 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9	0.8414709848078965066525 0.8912073600614353399518 0.9320390859672263496701 0.9635581854171929647013 0.9854497299884601806595 0.9974949866040544309417 0.9995736030415051643421 0.9916648104524686153461 0.9738476308781951865324 0.9463000876874144884897	22	real number RAD

 Complex number calculation using calculatior.  Select "complex number, RAD" from calculation mode.

Example	Calculation contents		Digit number	Calculation mode
Arithmetical operation	(3+4i)*(5+6i) [Execution]	-9 +38i	6	complex number RAD
Elementary function	sin(1+i) [Execution] ln(-5) [Execution]	1.29846 +0.634964i 1.60944 +3.14159i	6	complex number RAD
Special function	gamma(2+3i) [Execution]	-0.082395 +0.091774i	6	complex number RAD

 Chart drawing using calculator.

Example	Input formula and variable	Digit number & Calculation mode	Chart drawing	Chart setting
√	sqrt(x) x=0,0.1, 51	6 real number DEG		chart width =300, height =200 X axis tick skip =10
Trigonometric function	sin(x); cos(x) x=0,5,101	6 real number DEG		chart width =400, height =250 X axis tick skip =18 ■=sin(x) ■=cos(x)
Normal distribution	normalpd(x) x=-5,0.1, 101	6 real number DEG		chart width =400, height =250 Y axis scale Max=0.4 and Min=0
Bessel function J0(x), Y0(x)	besselj(0, x); bessely(0, x) x=0,1,101	6 real number DEG		chart width =400, height =250 Y axis scale Max=1 and Min=-1 ■=J0(x) ■=Y0(x)

 Precision calculation using "arithmetic operation system with variable number of digits".

Example	Digit number & Calculation mode	Keisαn (6 operational digit number)	Excel2003 (16 operational digit number)	Comment
Decimal calculation 0.4-0.3-0.1	6 real number RAD	0.4-0.3-0.1 = 0	(0.4-0.3-0.1) = 2.77556E-17	Error is caused by binary-to-decimal conversion.
π Calculation sin(9π)	6 real number RAD	sin(9*pi) = 0	SIN(9*PI()) = 1.10263E-15	Error is caused by numerical calculation of irrational number.
Irrational number calculation 9√2- √162	6 real number RAD	9*sqrt(2)-sqrt(162) = 0	(9*SQRT(2)-SQRT(162)) = 1.77636E-15	Error is caused by numerical calculation of irrational number.
Complex number calculation (1+i)4	6 complex number RAD	(1+i)^4 = -4	IMPOWER(“1+i”, 4) = -4+4.89842541528951E-016i	(1+i)4= (√2*eiπ/4)4= (√2)4*eiπ= -4
Square root calculation of √(1+x) - 1 √ (1+1.23456E-100) -1	6 real number RAD	sqrt(1+1.23456E-100) -1 = 6.1728E-101	SQRT(1+1.23456E-100) - 1 = 0	In case of x ≪1、Excel often approximates the calculation of "x+1" as "1", and thus reduces its calculation precision.
Exponential calculation of e^ln(1+x) -1 e^ln(1+1.23456E-14) -1	6 real number RAD	e^ln(1+1.23456E-14) -1 = 1.23456E-14	EXP(LN(1+1.23456E-14))- 1 = 1.24345E-14	In case of x≒1E-14,Excel shows only three digit of precision.
Exponential calculation of e^ln(1+x) -1 e^ln(1+1.23456E-15) -1	6 real number RAD	e^ln(1+1.23456E-15) -1 = 1.23456E-15	EXP(LN(1+1.23456E-15))- 1 = 0	In case of x <1E-15, Excel shows low precision in calculation.
Kinetic energy of human body E=mc2(1-√(1-v2/c2)) m=80 kg, v=100/9.77 m/s, c=299792458 m/s	6 real number RAD	m=80; v=100/9.77; c=299792458; m*c^2* (1-sqrt(1-v^2/c^2)) = 4190.55	m=80; v=100/9.77; c=299792458; m*c^2* (1-SQRT (1-v^2/c^2)) = 3991.274772	In case of v ≪c, Newton method approximation can be applied. E=mv2/2=4190.55