TI 84 Plus: Expressing an Integer as a Sum of Powers of Two
Happy Thanksgiving!
The program POW2SUM expresses a positive integer as a sum of powers of 2. The program generates a list of terms.
The powers of 2 are:
2^0 = 1
2^1 = 2
2^2 = 4
2^3 = 8
2^4 = 16
2^5 = 32
2^6 = 64
and so on.
Examples:
117 = 1 + 4 + 16 + 32 + 64 (+ 0)
(117 = 2^0 + 2^2 + 2^4 + 2^6)
386 = 2 + 128 + 256
(386 = 2^1 + 2^7 + 2^8)
Note: The list includes a 0 (due to programming limitations on the TI-84 Plus).
TI 84 Plus Program POW2SUM
"EWS 2018-11-18"
Disp "N = 2^P1+2^P2+..."
Prompt N
{0} → L₁
Repeat N≤0
ln(N)/ln(2) → P
iPart(P) → P
N-2^P → N
augment({2^P},L₁) → L₁
End
Pause L₁
(I like Unicode)
Eddie
All original content copyright, © 2011-2018. 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. Please contact the author if you have questions.
Happy Thanksgiving!
The program POW2SUM expresses a positive integer as a sum of powers of 2. The program generates a list of terms.
The powers of 2 are:
2^0 = 1
2^1 = 2
2^2 = 4
2^3 = 8
2^4 = 16
2^5 = 32
2^6 = 64
and so on.
Examples:
117 = 1 + 4 + 16 + 32 + 64 (+ 0)
(117 = 2^0 + 2^2 + 2^4 + 2^6)
386 = 2 + 128 + 256
(386 = 2^1 + 2^7 + 2^8)
Note: The list includes a 0 (due to programming limitations on the TI-84 Plus).
TI 84 Plus Program POW2SUM
"EWS 2018-11-18"
Disp "N = 2^P1+2^P2+..."
Prompt N
{0} → L₁
Repeat N≤0
ln(N)/ln(2) → P
iPart(P) → P
N-2^P → N
augment({2^P},L₁) → L₁
End
Pause L₁
(I like Unicode)
Eddie
All original content copyright, © 2011-2018. 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. Please contact the author if you have questions.