Soal:
1 Desimal => Biner
1) 40(10) = …..(2)
2) 237(10) = …..(2)
2 Desimal => Oktal
1) 40(10) = …..(8)
2) 237(10) = …..(8)
3 Desimal => Hexadesimal
1) 40(10) = …..(16)
2) 237(10) = …..(16)
4 Biner => Desimal
1) 10101(2) = …..(10)
2) 1101101(2) = …..(10)
5 Oktal => Desimal
1) 67(8) = …..(10)
2) 2341(8) = …..(10)
6 Hexadesimal => Desimal
1) 9EBC(16) = …..(10)
2) ABCD(16) = …..(10)
7 Biner => Oktal
1) 10101(2) = …..(8)
2) 1101101(2) = …..(8)
8 Biner => Hexadesimal
1) 10101(2) = …..(16)
2) 1101101(2) = …..(16)
9 Oktal => Biner
1) 67(8) = …..(2)
2) 2341(8) = …..(2)
10 Hexaesimal => Biner
1) 9EBC(16) = …..(2)
2) ABCD(16) = …..(2)
Jawaban:
1. Desimal > Biner
1) 40(10) = 101000(2)
2 40 0
2 20 0
2 10 0
2 5 1
2 2 0
1
2) 237(10) = 11101101(2)
2 237 1
2 118 0
2 59 1
2 29 1
2 14 0
2 7 1
2 3 1
1
2. Desimal > Oktal
1) 40(10) = 50(8)
8 40 0
5
2) 237(10) = 355(8)
8 237 5
8 29 5
3
3. Desimal > Hexadesimal
1) 40(10) = 28(16)
16 40 8
2
2) 237(10) = ED(16)
16 237 13
14
4. Biner > Desimal
1) 10101(2) = 21(10)
(1x24) + (0x23) + (1x22) + (0x21) + (1x20)
= 16 + 0 + 4 + 0 + 1
= 21
2) 1101101(2) = 109(10)
(1x26) + (1x25) + (0x24) + (1x23) + (1x22) + (0x21) + (1x20)
= 64 + 32 + 0 + 8 + 4 + 0 +1
= 109
5. Oktal > Desimal
1) 67(8) = 55 (10)
(6x81) + (7x80)
= 48 + 7
= 55
2) 2341(8) = 1249(10)
(2x83) + (3x82) + (4x81) + (1x80)
= 1024 + 192 + 32 + 1
= 1249
6. Hexadesimal > Desimal
1) 9EBC(16) = 40636(10)
(9x163) + (Ex162) + (Bx161) + (Cx160)
= (9x163) + (14x162) + (11x161) + (12x160)
= 36864 + 3584 + 176 + 12
= 40636
2) ABCD(16) = 43981(10)
(Ax163) + (Bx162) + (Cx161) + (Dx160)
= (10x163) + (11x162) + (12x161) + (12x160)
= 40960 + 2816 + 192 + 13
= 43981
7. Biner > Oktal
1) 10101(2) = 25(8)
# Biner > Desimal
10101(2) = 21(10)
(1x24) + (0x23) + (1x22) + (0x21) + (1x20)
= 16 + 0 + 4 + 0 + 1
= 21
# Desimal > Oktal
21(10) = 25(8)
8 21 5
2
2) 1101101(2) = 155(8)
# Biner > Desimal
1101101(2) = 109(10)
(1x26) + (1x25) + (0x24) + (1x23) + (1x22) + (0x21) + (1x20)
= 64 + 32 + 0 + 8 + 4 + 0 +1
= 109
# Desimal > Oktal
109(10) = 155(8)
8 109 5
8 13 5
1
8. Biner > Hexadesimal
1) 10101(2) = 15(16)
# Biner > Desimal
10101(2) = 21(10)
(1x24) + (0x23) + (1x22) + (0x21) + (1x20)
= 16 + 0 + 4 + 0 + 1
= 21
# Desimal > Oktal
21(10) = 25(8)
16 21 5
1
2) 1101101(2) = 155(16)
# Biner > Desimal
1101101(2) = 109(10)
(1x26) + (1x25) + (0x24) + (1x23) + (1x22) + (0x21) + (1x20)
= 64 + 32 + 0 + 8 + 4 + 0 +1
= 109
# Desimal > Oktal
109(10) = 6D(8)
16 109 13
6
9. Oktal > Biner
1) 67(8) = 110111(2)
# Oktal > Desimal
67(8) = 55 (10)
(6x81) + (7x80)
= 48 + 7
= 55
# Desimal > Biner
55(10) = 110111(2)
2 55 1
2 27 1
2 13 1
2 6 0
2 3 1
1
2) 2341(8) = 10011100001(2)
# Oktal > Desimal
2341(8) = 1249(10)
(2x83) + (3x82) + (4x81) + (1x80)
= 1024 + 192 + 32 + 1
= 1249
# Desimal > Biner
1249(10) = 10011100001(2)
2 1249 1
2 624 0
2 312 0
2 156 0
2 78 0
2 39 1
2 19 1
2 9 1
2 4 0
2 2 0
1
10. Hexadesimal > Biner
1) 9EBC(16) = 1001 1110 1011 1100(2)
9 E B C
1001 1110 1011 1100
2) ABCD(16) = 1010 1011 1100 1101(2)
A B C D
1010 1011 1100 1101
