Converting decimal to binary
Contoh : (19)10= (1.0.0.1.1)2
19:2= 9-1
9:2= 4-1
4:2= 2-0
2:2= 1-0
1:2= 0-1
SOAL
1). (127)10 = (1111111)2
Jawab :
127:2 = 63-1
63:2 =
31-1
31:2 =
15-1
15:2 =
7-1
7:2 =
3-1
3:2 =
1-1
1:2 =
0-1
2). (761)10 = (0111111001)2
Jawab :
761:2 = 380-1
380:2 = 190-1
190:2 = 95-1
95:2 =
47-1
47:2 =
23-1
23:2 =
11-1
11:2 =
5-1
5:2 =
2-1
2:2 =
1-0
1:2 =
0-1
3). (48)10 = (101111)2
Jawab :
48:2 = 23-1
23:2 = 11-1
11:2 = 5-1
5:2 = 2-1
2:2 = 1-0
1:2 = 0-1
4). (57)10 = (111001)2
Jawab :
57:2 =
28-1
28:2 =
14-0
14:2 =
7-0
7:2 =
3-1
3:2 =
1-1
1:2 =
0-1
5). (231)10 = (11100111)2
Jawab :
231:2 = 115-1
115:2 = 57-1
57:2 =
28-1
28:2 =
14-0
14:2 =
7-0
7:2 =
3-1
3:2 =
1-1
1:2 =
0-1
6). (32)10 = (100000)2
Jawab :
32:2 =
16-0
16:2 =
8-0
8:2 =
4-0
4:2 =
2-0
2:2 =
1-0
1:2 =
0-1
7). (215)10 = (11010110)2
Jawab :
215:2 = 107-0
107:2 = 53-1
53:2 =
26-1
26:2 =
13-0
13:2 =
6-1
6:2 =
3-0
3:2 =
1-1
1:2 =
0-1
8). (512)10 = (1000000000)2
Jawab :
512:2 = 256-0
256:2 = 128-0
128:2 = 64-0
64:2 =
32-0
32:2 =
16-0
16:2 =
8-0
8:2 =
4-0
4:2 =
2-0
2:2 =
1-0
1:2 =
0-1
9). (64)10 = (1000000)2
Jawab :
64:2 =
32-0
32:2 =
16-0
16:2 =8-0
8:2 =4-0
4:2 =2-0
2:2 =1-0
1:2 =0-1
10). (312)10 =(100111000)2
Jawab :
312:2 =156-0
156:2 =78-0
78:2 =39-0
39:2 =19-1
19:2 =9-1
9:2 =4-1
4:2 =2-0
2:2 =1-0
1:2 =0-1
Desimal Ke
Oktal
Contoh :
1.) (39)10 =(47)8
Jawab :
39:8 =4-7
4:8 =0-4
Latihan,,,,,,:
1). (83)10 =(723)8
83:8 =10-2
10:8 =1-2
1:8 =0-7
2). (77)10 =(115)8
77:8 =9-5
9:8 =0-1
3). (106)10 =(152)8
106:8 =13-2
13:8 =1-5
1:8 =0-1
4). (46)10 =(31)8
46:8 =5-1
5:8 =0-3
5). (215)10 =(517)8
215:8 =26-7
26:8 =3-2
3:8 =0-5
Soal Hekta
Desimal
1). (85)10 =(.................)16
2). (107)10 =(.................)16
3). (225)10 =(.................)16
4). (57)10 =(.................)16
Jawab.......?????
1). (85)10 =(55)16
85:16 =5-5
5:16 =0-5
2). (107)10 =(611)16
107:16 =6-11
6:16 =0-6
3). (225)10 =(141)16
225:16 =14-1
14:16 =0-14
4). (57)10 =(39)16
57:16 =3-9
3:16 =0-3
Latihan
Biner ke Oktal
1). (1101111)2 = (..................)8
2). (1110)2 =
(..................)8
3). (100011)2=
(..................)8
4). (11111101)2 = (..................)8
5). (100001)2 =(..................)8
Jawab:.........
1). (1101111)2 = (157)8
23 111=7
101 =5
001=1
2). (1110)2 = (16)8
23 110 =6
001 =1
3). (100011)2 = (375)8
23 011 =3
100 =4
4). (11111101)2 = (375)8
23 101 =5
111 =7
011 =3
5). (100001)2 =(41)8
23 001 =1
100 =4
Soal........
1) (110111101)2=(1fd)16
1101 =d
1111 =f
0001 =1
2). (1011111101)2 =(1fb)16
1011 =b
1111 =f
0001 =1
3). (1010101011)2 =(3aa)16
1010=a
1010 =a
0011=3
4). (110111101)2 =(1ed)16
1101=d
1110=e
0001 =1
5). (1111110001)2 =(13f)16
1111 =f
0011 =3
0001=1
Gerbang Logika
Tabel Kebenaran
1.And/Dan/Kali
A
|
B
|
A˄B
|
F
|
F
|
F
|
F
|
T
|
F
|
T
|
F
|
F
|
T
|
T
|
T
|
2.Or/Atau/Tambah
A
|
B
|
A˅B
|
F
|
F
|
F
|
F
|
T
|
T
|
T
|
F
|
T
|
T
|
T
|
T
|
3.Negasi
A
|
̴A
|
F
|
T
|
T
|
F
|
4.Implikasi/Maka
A
|
B
|
A→B
|
F
|
F
|
T
|
F
|
T
|
T
|
T
|
F
|
F
|
T
|
T
|
T
|
5.Bllm
Blikasi/Jika Dan Hanya Jika
A
|
B
|
A→B
|
F
|
F
|
T
|
F
|
T
|
F
|
T
|
F
|
F
|
T
|
T
|
T
|
6.N
And/Tidak Dan
A
|
B
|
AlB
|
F
|
F
|
T
|
F
|
T
|
T
|
T
|
F
|
T
|
T
|
T
|
F
|
7.Nor/Tidak
Atau ( ↓ )
A
|
B
|
A↓B
|
F
|
F
|
T
|
F
|
T
|
F
|
T
|
F
|
F
|
T
|
T
|
F
|
8.Exclosie
Or (+)
A
|
B
|
A+B
|
F
|
F
|
F
|
F
|
T
|
T
|
T
|
F
|
T
|
T
|
T
|
F
|
Coat Coat
Law - Legal Logic
1.Hukum Identity
AF <=> A
AT <=> A
2.Hukum Null / Domination
AF = F
AT = T
3.Hukum Negation
A ~ A <=> A
A ~ A <=> A
4.Hukum Idenipoten
AA <=> A
AA <=> A
5.Hukum Inovolusi
~ (~ A) <=> A
6.Hukum Absorption / Absorption
A (AB) <=> A
A (ab) <=> A
7.Hukum Komutatip
AB <=> BA
AB <=> BA
8.Hukum Asisosiatif
A (BC) <=> (AB) A
A (bc) <=> (ab) c
9.Hukum Distributip
A (BC) <=> (AB) (AC)
A (bc) <=> (AB) ˅ (AC)
Example............
If Peterpan Hold Concert And Audience Be Present If Ticket Tigak Too Expensive.
Basic 1.Gerbang
Logic gates is Device 2 state Namely, Carries Exodus With Zero Or Vols Yang Stating Logic Zero Or Low And Output With Voltage Fixed Stating Logic One Or High Logic Gate Can Have Multiple Input Yang Included Included That Has One Of 2 state logic Namely 0 → 1
Macam Macam is a Basic Logic Gate
Or gate
And gates
Not gates
Or gate
Or gate gate Or Translated As A Logic Gate The exit of logic "1" If One Or Around The input logic "1" If There Are Two Input Then the truth table is like Fig Here .............. ......
Law - Legal Logic
1.Hukum Identity
AF <=> A
AT <=> A
2.Hukum Null / Domination
AF = F
AT = T
3.Hukum Negation
A ~ A <=> A
A ~ A <=> A
4.Hukum Idenipoten
AA <=> A
AA <=> A
5.Hukum Inovolusi
~ (~ A) <=> A
6.Hukum Absorption / Absorption
A (AB) <=> A
A (ab) <=> A
7.Hukum Komutatip
AB <=> BA
AB <=> BA
8.Hukum Asisosiatif
A (BC) <=> (AB) A
A (bc) <=> (ab) c
9.Hukum Distributip
A (BC) <=> (AB) (AC)
A (bc) <=> (AB) ˅ (AC)
Example............
If Peterpan Hold Concert And Audience Be Present If Ticket Tigak Too Expensive.
Basic 1.Gerbang
Logic gates is Device 2 state Namely, Carries Exodus With Zero Or Vols Yang Stating Logic Zero Or Low And Output With Voltage Fixed Stating Logic One Or High Logic Gate Can Have Multiple Input Yang Included Included That Has One Of 2 state logic Namely 0 → 1
Macam Macam is a Basic Logic Gate
Or gate
And gates
Not gates
Or gate
Or gate gate Or Translated As A Logic Gate The exit of logic "1" If One Or Around The input logic "1" If There Are Two Input Then the truth table is like Fig Here .............. ......
A
|
B
|
A˅B
|
F
|
F
|
F
|
F
|
T
|
T
|
T
|
F
|
T
|
T
|
T
|
T
|
And gates
And the gate is a gate type Digital Output "1" If the whole Input "1"
Gate And Translated As the gate "and" The Meaning A logic gate logic Yang Berkeluarannya
1 If the Input A and Input B And Beyond Belogika 1 If There Are Two Inpua A and B Table truth as Here ..........
And the gate is a gate type Digital Output "1" If the whole Input "1"
Gate And Translated As the gate "and" The Meaning A logic gate logic Yang Berkeluarannya
1 If the Input A and Input B And Beyond Belogika 1 If There Are Two Inpua A and B Table truth as Here ..........
A
|
B
|
A˄B
|
F
|
F
|
F
|
F
|
T
|
F
|
T
|
F
|
F
|
T
|
T
|
T
|
