O Sistema de Numeração
Por: Davi Komura • 10/3/2021 • Relatório de pesquisa • 1.412 Palavras (6 Páginas) • 123 Visualizações
Davi Komura de Castro Lobato
Matemática Bacharelado
Matrícula: 2018041796
1-
a) (175)10
175 ÷ 2 (Resto = 1)
87 ÷ 2 (Resto = 1)
43 ÷ 2 (Resto = 1)
21 ÷ 2 (Resto = 1)
10 ÷ 2 (Resto = 0)
5 ÷ 2 (Resto = 1)
2 ÷ 2 (Resto = 0)
1
(10101111)2
b) (256)10
256 ÷ 2 (Resto = 0)
128 ÷ 2 (Resto = 0)
64 ÷ 2 (Resto = 0)
32 ÷ 2 (Resto = 0)
16 ÷ 2 (Resto = 0)
8 ÷ 2 (Resto = 0)
4 ÷ 2 (Resto = 0)
2 ÷ 2 (Resto = 0)
1
(100000000)2
c) (1.525.000)10
1525000 ÷ 2 (Resto = 0)
762500 ÷ 2 (Resto = 0)
381250 ÷ 2 (Resto = 0)
190625 ÷ 2 (Resto = 1)
95312 ÷ 2 (Resto = 0)
47656 ÷ 2 (Resto = 0)
23828 ÷ 2 (Resto = 0)
11914 ÷ 2 (Resto = 0)
5957 ÷ 2 (Resto = 1)
2978 ÷ 2 (Resto = 0)
1489 ÷ 2 (Resto = 1)
744 ÷ 2 (Resto = 0)
372 ÷ 2 (Resto = 0)
186 ÷ 2 (Resto = 0)
93 ÷ 2 (Resto = 1)
46 ÷ 2 (Resto 0)
23 ÷ 2 (Resto = 1)
11 ÷ 2 (Resto = 1)
5 ÷ 2 (Resto = 1)
2 ÷ 2 (Resto = 0)
1
(101110100010100001000)2
d) (2.345.546)10
2345546 ÷ 2 (Resto = 0)
1172773 ÷ 2 (Resto = 1)
586386 ÷ 2 (Resto = 0)
293193 ÷ 2 (Resto = 1)
146596 ÷ 2 (Resto = 0)
73298 ÷ 2 (Resto = 0)
36649 ÷ 2 (Resto = 1)
18324 ÷ 2 (Resto = 0)
9162 ÷ 2 (Resto = 0)
4581 ÷ 2 (Resto = 1)
2290 ÷ 2 (Resto = 0)
1145 ÷ 2 (Resto =1)
572 ÷ 2 (Resto = 0)
286 ÷ 2 (Resto = 0)
143 ÷ 2 (Resto = 1)
71 ÷ 2 (Resto = 1)
35 ÷ 2 (Resto = 1)
17 ÷ 2 (Resto = 1)
8 ÷ 2 (Resto = 0)
4 ÷ 2 (Resto = 0)
2 ÷ 2 (Resto = 0)
1
(1000111100101001001010)2
2-
a) (175)10
175 ÷ 8 (Resto = 7)
21 ÷ 8 (Resto = 5)
2
(257)8
b) (256)10
256 ÷ 8 (Resto = 0)
32 ÷ 8 (Resto = 0)
4
(400)8
c) (1.525.000)10
1525000 ÷ 8 (Resto = 0)
190625 ÷ 8 (Resto = 1)
23828 ÷ 8 (Resto = 4)
2978 ÷ 8 (Resto = 2)
372 ÷ 8 (Resto = 4)
46 ÷ 8 (Resto = 6)
5
(5642410)8
d) (2.345.546)10
2345546 ÷ 8 (Resto = 2)
293193 ÷ 8 (Resto = 1)
36649 ÷ 8 (Resto = 1)
4581 ÷ 8 (Resto = 5)
572 ÷ 8 (Resto = 4)
71 ÷ 8 (Resto = 7)
8 ÷ 8 (Resto = 0)
1
(10745112)8
3-
a) (175)10
175 ÷ 16 = (Resto = 15)
10
(AF)16
b) (256)10
256 ÷ 16 (Resto = 0)
16 ÷ 16 (Resto = 0)
1
(100)16
c) (1.525.000)10
1525000 ÷ 16 (Resto = 8)
95312 ÷ 16 (Resto = 0)
5957 ÷ 16 (Resto = 5)
372 ÷ 16 (Resto = 4)
23 ÷ 16 (Resto = 7)
1
(174508)16
d) (2.345.546)10
2345546 ÷ 16 (Resto = 10)
1465996 ÷ 16 (Resto = 12)
91624 ÷ 16 (Resto = 8)
5726 ÷ 16 (Resto = 14)
357 ÷ 16 (Resto = 5)
22 ÷ 16 (Resto = 6)
1
(23CA4A)16
4-
a) (10101101)2
(10101101) = 1.20 + 0.21 + 1.22 + 1.23 + 0.24 + 1.25 + 0.26 + 1.27 = 1 + 0 + 4 + 8 + 16 + 32 + 64 + 128 = (253)10
b) (11101101)2
(11101101) = 1.20 + 0.21 + 1.22 + 1.23 + 0.24 + 1.25 + 1.26 + 1.27 = 1 + 0 + 4 + 8 + 0 + 32 + 64 + 128 = (237)10
c) (1111111110101101)2
(1111111110101101) = 1.20 + 0.21 + 1.22 + 1.23 + 0.24 + 1.25 + 0.26 + 1.27 + 1.28 + 1.29 + 1.210 + 1.211 + 1.212 + 1.213 + 1.214 + 1.215 = 1 + 0 + 4 + 8 + 0 + 32 + 0 + 128 + 256 + 512 + 1024 + 2048 + 4096 + 8192 + 16384 + 32768 = (65453)10
d) (1000111110101101)2
(1000111110101101) = 1.20 + 0.21 + 1.22 + 1.23 + 0.24 + 1.25 + 0.26 + 1.27 + 1.28 + 1.29 + 1.210 + 1.211 + 0.212 + 0.213 + 0.214 + 1.215 = 1 + 0 + 4 + 8 + 0 + 32 + 0 + 128 + 256 + 512 + 1024 + 2048 + 0 + 0 + 0 + 32768 = (36781)10
5-
a) (10101101)2
101 = 5
101 = 5
10 = 2
(255)8
b) (11101101)2
101 = 5
101 = 5
11 = 3
(355)8
c) (1111111110101101)2
101 = 5
101 = 5
110 = 6
111 = 7
111 = 7
1 =
(177655)8
d) (1000111110101101)2
101 = 5
101 = 5
110 = 6
111 = 7
000 = 0
1 = 1
(107655)8
6-
a) (10101101)2
1101 = D
1010 = A
...