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(11C/12C/17B/65) Base Conversion
01-19-2014, 06:45 PM (This post was last modified: 02-23-2024 12:12 PM by Thomas Klemm.)
Post: #1
(11C/12C/17B/65) Base Conversion
Description:
This program allows to convert numbers from one base to another.

Register:
Reg 1: from-base
Reg 2: to-base

Program:
STO 0
RCL 1
RCL 2
-
x<>y
LBL 0
RCL 1
x<>y
RCL 2
÷
INT
x=0
GTO 1
R↓
×
R↓
×
STO + 0
R↓
GTO 0
LBL 1
RCL 0


Examples:
Dec - Bin
Reg 1: 10
Reg 2: 2
21 - 10101

Hex - Dec
Reg 1: 16
Reg 2: 100
0xCAFE = 12:10:15:14
12101514 - 51966
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06-21-2014, 10:21 PM (This post was last modified: 06-21-2014 11:02 PM by Thomas Klemm.)
Post: #2
Base Conversion for HP-12C
Code:
01 -    44  0  STO 0
02 -    45  1  RCL 1
03 -    45  2  RCL 2
04 -       30  −
05 -       34  x<>y
06 -    45  1  RCL 1
07 -       34  x<>y
08 -    45  2  RCL 2
09 -       10  ÷
10 -    43 25  INTG
11 -    43 35  x=0
12 - 43,33 20  GTO 20
13 -       33  R↓
14 -       20  ×
15 -       33  R↓
16 -       20  ×
17 - 44 40  0  STO+ 0
18 -       33  R↓
19 - 43,33 06  GTO 06
20 -    45  0  RCL 0

Example: 201410 → 37368
10 STO 1
8 STO 2
2014 R/S



This is another solution that uses the function NPV:
Code:
01 -       36  ENTER
02 -       36  ENTER
03 -    45 15  RCL FV
04 -       10  ÷
05 -    43 25  INTG
06 -    43 13  CFo
07 -    45 15  RCL FV
08 -       10  ÷
09 -    43 25  INTG
10 -    43 35  x=0
11 - 43,33 14  GTO 14
12 -    43 14  CFj
13 - 43,33 07  GTO 07
14 -       33  R↓
15 -        1  1
16 -    45 14  RCL PMT
17 -       22  1/x
18 -       24  Δ%
19 -    44 12  STO i
20 -       33  R↓
21 -       33  R↓
22 -    42 13  NPV
23 -    45 14  RCL PMT
24 -    45 15  RCL FV
25 -       30  −
26 -       20  ×
27 -       40  +

Example: 201410 → 37368
10 STO PMT
8 STO FV
2014 R/S
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06-21-2014, 10:27 PM
Post: #3
Base Conversion for HP-17b/17bii
BC:ANS=
N+
(FROM-TO)\(\times\)
\(\Sigma\)(I:0:LOG(N)\(\div\)LOG(TO):1:
L(N:IDIV(N:TO))\(\times\)FROM^I
​)


Example: DEC → OCT
Code:
         2014
+   2 *   251
+  20 *    31
+ 200 *     3
         ----
         3736

10 → FROM
8 → TO
2014 → N
ANS
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02-23-2024, 12:10 PM (This post was last modified: 02-24-2024 04:20 AM by Thomas Klemm.)
Post: #4
Base Conversion for HP-65
Code:
001: 23    : LBL
002: 11    : A
003: 33 01 : STO 1
004: 34 02 : RCL 2
005: 34 03 : RCL 3
006: 51    : -
007: 35 07 : g x<>y
008: 23    : LBL
009: 00    : 0
010: 34 02 : RCL 2
011: 35 07 : g x<>y
012: 34 03 : RCL 3
013: 81    : /
014: 31    : f
015: 83    : INT
016: 00    : 0
017: 35 23 : g x=y
018: 22    : GTO
019: 01    : 1
020: 61    : +
021: 35 08 : g Rv
022: 71    : x
023: 35 08 : g Rv
024: 71    : x
025: 34 01 : RCL 1
026: 61    : +
027: 33 01 : STO 1
028: 35 08 : g Rv
029: 22    : GTO
030: 00    : 0
031: 23    : LBL
032: 01    : 1
033: 34 01 : RCL 1
034: 24    : RTN
035: 23    : LBL
036: 12    : B
037: 34 02 : RCL 2
038: 34 03 : RCL 3
039: 33 02 : STO 2
040: 35 07 : g x<>y
041: 33 03 : STO 3
042: 24    : RTN

Code:
Title: Base Conversion
A: convert
B: switch
C: 
D: 
E:

Registers

R1: n
R2: from
R3: to


Examples

Base conversion between 40 and 100.

Initialization

40 STO 2
100 STO 3

Encoding

1503243917
A

38631977

Decoding

B
38631977
A

1503243917

References
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