Friday, April 17, 2020

Fun with Radio Shack EC-4019 and Casio fx-3800P

Fun with Radio Shack EC-4019 and Casio fx-3800P

First blog entry of the 10th year of this blog (4/11/2020 - 4/11/2021).  I can't expression enough gratitude for your support and comments - Eddie

Sums

n
∑ x  = (n^2 + n) / 2
x = 1

Program (9 steps):

ENT
Kin 1
x^2 
+
Kout 1
=
÷ 



Execution:  [ # ] n [ RUN ]

where [ # ] represents program keys [ I ], [ II ], [ III ], and [ IV ] in RUN mode ( [ MODE ] [ . ] )

Example:  n = 48, Result:  1176

n
∑ x^2 = n * ((n/3 + 1/2) * n + 1/6 )
x=1

Program (16 steps):

ENT
Kin 1
*
(
Kout 1
x^2
÷ 
3
+
Kout 1
÷

+
6
1/x
=

Execution:  [ # ] n [ RUN ]

Example:  n = 48, Result:  38024

Horner's Rule:  Cubic Polynomials

Calculate p(x) by Horner's Rule where:

p(x) = a*x^3 + b*x^2 + c*x + d = x * ( x * ( a*x + b ) + c ) + d

Program (16 steps):

Kout 5
+
Kout 1
*
(
Kout 4

Kout 1

(
Kout 2
*
Kout 1

Kout 3
=

Execution:  x [ Kin ] 1, a [ Kin ] 2, b [ Kin ] 3, c [ Kin ] 4, d [ Kin ] 5.   Press [ # ]

Example:  x = K1 = 50, a = K2 = 1, b = K3 = 4, c = K4 = 5, d = K5 = -200
Result:  135,050

Head Winds And Cross Winds

Head Winds:
HW = K * cos(D - HDG - V)

Cross Winds:
RCW = K * sin(D - HDG - V)

where:
K = wind velocity (mi/hr)  (K1)
D = wind direction with 0° due North, clockwise (degrees)  (K2)
HDG = airplane direction with 0° due North, clockwise (degrees)  (K3)
V = compass adjustment   (K4)

Mode 4: Degrees

Program (13 steps):

Mode
4        //  Degree mode
Kout 1
P → R 
(
Kout 2 
-
Kout 3
-
Kout 4

HLT   // HW
X ←→ Y  // RCW

Execution:
K [ Kin ] 1,  D [ Kin ] 2,  HDG [ Kin ] 3,  V [ Kin ] 4.  Press [ # ].

Example:
K = 25 mi/hr = K1
D = 240° = K2
HDG = 280°  = K3
V = 0  = K4

Results:
HW:  19.15111108 mi/hr
RCW:  -16.09699024 mi/hr

Source:  HP 65 Aviation Pac-1 Hewlett Packard.  1974

Rate of Climb

Rate of Climb (ft/min):
ROC = TAS * ALT ÷ √( DIST^2 + ALT^2 )

where:
TAS = true airplane speed (ft/min)   (K1)
ALT = vertical distance (ft)   (K2)
DIST = horizontal distance (ft)   (K3)

Conversion factors:
1 knot = 101.269 ft/min
1 nautical mile = 6072.12 ft

Program (13 steps):

Kout 1
*
Kout 2
÷
(
Kout 2
x^2

Kout 3
x^2
)

=

Execution:
TAS [ Kin ] 1,  ALT [ Kin ] 2,  DIST [ Kin ] 3.  Press [ # ].

Example:
TAS = 4,300 ft/min = K1
ALT = 3,000 ft = K2
DIST = 81,425 ft = K3

Result:  ROC: 158.3205808 ft/min

Source:  HP 65 Aviation Pac-1 Hewlett Packard.  1974

Modulus

For positive integers N, M:
N mod M = ( N / M - int(N / M) ) * M

Results lie in the interval [ -int( M / 2 ), int( M / 2 ) ]

Program (16 steps):

MODE
7
0     // Fix 0 mode 
Kout 2
1/x
*
Kout 1

Kin 3

Kout 3
RND   // round displayed number to settings
=
*
Kout 2
=

Execution:
N [ Kin ] 1,  M  [ Kin ] 2.  Press [ # ].

Examples:

48 mod 17 = -3  (equivalent to 48 mod 17 = 14)

721 mod 21 = 7


Eddie

All original content copyright, © 2011-2020.  Edward Shore.   Unauthorized use and/or unauthorized distribution for commercial purposes without express and written permission from the author is strictly prohibited.  This blog entry may be distributed for noncommercial purposes, provided that full credit is given to the author.

1 comment:

  1. Thank you a lot for sharing, I’ve got a fx-10F that I’m still exploring and I must say I’m fascinated by this programming model. I was desperately searching for solid sample programs and you made my dream come true !!!

    ReplyDelete

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