ALGORITMA
Pengertian Algoritma :
1. Sejarah istilah "algoritma"
Kata algoritma berasal dari latinisasi nama seorang ahli matematika dari Uzbekistan Al Khawarizmi (hidup sekitar abad ke-9), sebagaimana tercantum pada terjemahan karyanya dalam bahasa latin dari abad ke-12 "Algorithmi de numero Indorum". Pada awalnya kata algorisma adalah istilah yang merujuk kepada aturan-aturan aritmetis untuk menyelesaikan persoalan dengan menggunakan bilangan numerik arab (sebenarnya dari India, seperti tertulis pada judul di atas).
2. Algoritma adalah : kumpulan urutan perintah yahng menentukan operasi – operasi tertentu yang diperlukan untuk menyelesaikan suatu masalah atau pun mengerjakan suatu tugas tertentu.
Jenis - Jenis Bilangan Dalam Algoritma
Bil biner
Ø
Dari decimal (modulus 10 ) ke modulus apapun
berarti : dibagi
Ø
Dari modulus apapun ke decimal (modulus 10 )
berarti : Di kali
Ø
Dari satu modulus ke modulus lainnya selain
modulus 10,,caranya: modulus yg pertama di rubah ke modulus 10 br dari modulus
10 di rubah ke modulus yg di inginkan
Contoh :
Biner(modls 2)
|
Tetra( mdls 4)
|
Deca(mdls 8)
|
Hexa(modulus 16)
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Modulus 3
|
11101
|
A
|
B
|
C
|
D
|
E
|
1231
|
F
|
G
|
H
|
Jawab :
Untuk menjawab soal A, B, C dan D
: dari modulus 2 (biner) dirubah ke modulus 10 (decimal), karena biner yg
diketahui.
Maka :
111012 = …..10
= 1413120110 2
= (1 X 24) + (1 X 23) + (1 X 22)+ (0 X 21)
+(1 X 20)
=16
+8 + 4 + 0 + 1
=
2910
A.
2910 = ……..4
= 29/4 =7 sisa 1
7/4 = 1 sisa 3
Jadi : 2910 = 1314
B.
2910 = ……8
= 29/8 = 3 sisa 5
Jadi 2910 = 358
C.
2910 = …….16
=29/16 = 1 sisa 13 13
dalm modulus 16 di simbolkan dengn huruf
D
Jadi 2910 = 1D16
Utuk
D,E,F,G dan H caranya sama.
HUKUM - HUKUM DALAM ALGORITMA
1. HUKUM ASOSIASI
Ø (X OR Y)
OR Z = X OR ( Y OR OR Z )
Ø ( X AND Y )
AND Z = X (Z AND Y )
2. HUKIM DISTRIBUSI
Ø X AND ( Y
OR Z ) = (X AND Y ) OR ( X AND Z )
Ø X OR ( Y
AND Z ) = ( X OR Y) AND (X OR Z )
3. HUKUM KOMUTATIF
Ø A OR B = B
OR A
Ø A AND B = B
AND A
4. HUKUM DE
MORGAN
Ø
X
OR Y = X AND Y
Ø X AND
Y =
X OR Y
RUMUS – RUMUS YANG LAIN
[ A AND C ] OR [ A OR C] = [A OR C]
MS WORD
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SYMBOL
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