Lista de Exercícios sobre Sistema de Numeração
(Respostas no Final da Lista)
1. Faça as conversões de base abaixo: (Bases inferiores ou iguais a 10)
a)
b)
c)
d)
e)
f)
g)
h)
i)
j)
k)
l)
m)
(1593)10 = (
(439)10 = (
(2073)10 = (
(325)6 = (
(257)8 = (
(3213)4 = (
(354)7 = (
(224)5 = (
(235)6 = (
(523)7 = (
(243)5 = (
(435)6 = (
(647)8 = (
)5
)4
)8
)10
)10
)10
)5
)3
)7
)5
)3
)7
)6
n)
o)
p)
q)
r)
s)
t)
u)
v)
w)
x)
y)
z)
(314)5 = (
(723)8 = (
(412)7 = (
(321)8 = (
(466)7 = (
(178)9 = (
(516)8 = (
(121)3 = (
(421)5 = (
(312)6 = (
(878)9 = (
(656)7 = (
(543)6 = (
)2
)9
)3
)9
)4
)2
)7
)9
)4
)9
)3
)6
)4
2. Faça as conversões de base abaixo: (Bases superiores a base 10)
a)
b)
c)
d)
e)
f)
g)
h)
i)
j)
k)
l)
m)
(1593)10 = ( )16
(439)10 = ( )15
(2073)10 = ( )14
(325)10 = ( )13
(257)10 = ( )12
(3213)10 = ( )11
(3A4)11 = ( )10
(A2B)12 = ( )10
(2C5)13 = ( )10
(A2D)14 = ( )10
(E4B)15 = ( )10
(ABF)16 = ( )10
(647)8 = ( )16
n)
o)
p)
q)
r)
s)
t)
u)
v)
w)
x)
y)
z)
(314)5 = ( )12
(7A3)11 = ( )9
(41B)12 = ( )3
(F21)16 = ( )12
(4C6)13 = ( )16
(178)14 = ( )5
(516)15 = ( )13
(121)12 = ( )9
(4E1)15 = ( )4
(B1C)13 = ( )9
(878)9 = ( )11
(65A)11 = ( )15
(5E4)16 = ( )5
3. Faça as conversões de base abaixo: (Use a tabela de Conversão)
a)
b)
c)
d)
e)
f)
g)
h)
i)
j)
k)
l)
m)
(15B3)16 = ( )2
(439)16 = ( )2
(2A73)16 = ( )2
(3CDDA5)16 = ( )2
(57DF21)16 = ( )2
(F21EBD)16 = ( )2
(3A45E)16 = ( )2
(A2B79)16 = ( )2
(2C5DF)16 = ( )2
(A2D5A2)16 = ( )2
(E4BF4A)16 = ( )2
(ABF412)16 = ( )2
(63DA7FE)16 = ( )2
n)
o)
p)
q)
r)
s)
t)
u)
v)
w)
x)
y)
z)
(10111000101001101)2 = ( )16
(11100110001110)2 = ( )16
(1010100001110)2 = ( )16
(1011000011110010)2 = ( )16
(1111100010101010)2 = ( )16
(10000111010100001)2 = ( )16
(11111111000001101)2 = ( )16
(100110011111001)2 = ( )16
(1010000110001111)2 = ( )16
(1100110011111000)2 = ( )16
(101010000001111)2 = ( )16
(111110001111100)2 = ( )16
(11101110111011)2 = ( )16
4. Dados os números abaixo, informe quantos bits são necessários para representá-los.
a)
b)
c)
d)
e)
f)
g)
h)
i)
j)
k)
l)
m)
5.467 Æ
67.894 Æ
23.546 Æ
18.769 Æ
33.098 Æ
21.345 Æ
65.535 Æ
133.054 Æ
1.048.577 Æ
500.786 Æ
43.629 Æ
3.021.392 Æ
37.639.478 Æ
n)
o)
p)
q)
r)
s)
t)
u)
v)
w)
x)
y)
z)
140.361 Æ
8.388.651 Æ
268.433.456 Æ
5.635.489.671 Æ
17.362.182 Æ
39.698.563.712 Æ
19.456 Æ
145.726.693 Æ
71.692.453 Æ
396.591 Æ
2.140.365.194 Æ
2.027.356 Æ
140.333.999 Æ
5. Apresente os valores abaixo nas suas respectivas faixa de apresentação.
a)
b)
c)
d)
e)
f)
g)
h)
i)
j)
k)
l)
m)
217 =
245 =
212 =
238 =
227 =
219 =
220 =
231 =
249 =
237 =
222 =
213 =
230 =
n)
o)
p)
q)
r)
s)
t)
u)
v)
w)
x)
y)
z)
243 =
248 =
211 =
225 =
234 =
246 =
247 =
232 =
215 =
210 =
241 =
240 =
229 =
RESPOSTAS
DA LISTA DE
EXERCÍCOS
Resposta da Lista de Exercícios sobre Sistema de Numeração
1. Faça as conversões de base abaixo: (Bases inferiores ou iguais a 10)
a)
b)
c)
d)
e)
f)
g)
h)
i)
j)
k)
l)
m)
(1593)10 = (22333)5
(439)10 = (12313)4
(2073)10 = (4031)8
(325)6 = (125)10
(257)8 = (175)10
(3213)4 = (231)10
(354)7 = (1221)5
(224)5 = (2101)3
(235)6 = (164)7
(523)7 = (2022)5
(243)5 = (2201)3
(435)6 = (326)7
(647)8 = (1543)6
n)
o)
p)
q)
r)
s)
t)
u)
v)
w)
x)
y)
z)
(314)5 = (1010100)2
(723)8 = (568)9
(412)7 = (21121)3
(321)8 = (252)9
(466)7 = (3310)4
(178)9 = (10011000)2
(516)8 = (655)7
(121)3 = (17)9
(421)5 = (1233)4
(312)6 = (138)9
(878)9 = (222122)3
(656)7 = (1315)6
(543)6 = (3033)4
2. Faça as conversões de base abaixo: (Bases superiores a base 10)
a)
b)
c)
d)
e)
f)
g)
h)
i)
j)
k)
l)
m)
(1593)10 = (639)16
(439)10 = (1E4)15
(2073)10 = (A81)14
(325)10 = (1C0)13
(257)10 = (195)12
(3213)10 = (2461)11
(3A4)11 = (477)10
(A2B)12 = (1475)10
(2C5)13 = (499)10
(A2D)14 = (2001)10
(E4B)15 = (3221)10
(ABF)16 = (2751)10
(647)8 = (1A7)16
n)
o)
p)
q)
r)
s)
t)
u)
v)
w)
x)
y)
z)
(314)5 = (70)12
(7A3)11 = (1276)9
(41B)12 = (211012)3
(F21)16 = (22A9)12
(4C6)13 = (346)16
(178)14 = (2202)5
(516)15 = (6A2)13
(121)12 = (207)9
(4E1)15 = (101113)4
(B1C)13 = (2523)9
(878)9 = (5A4)11
(65A)11 = (37B)15
(5E4)16 = (22013)5
3. Faça as conversões de base abaixo: (Use a tabela de Conversão)
a)
b)
c)
d)
e)
f)
g)
h)
i)
j)
k)
l)
m)
(15B3)16 = (1010110110011)2
(439)16 = (10000111001)2
(2A73)16 = (10101001110011)2
(3CDDA5)16 = (1111001101110110100101)2
(57DF21)16 = (10101111101111100100001)2
(F21EBD)16 = (111100100001111110111101)2
(3A45E)16 = (111010010001011110)2
(A2B79)16 = (10100010101101111001)2
(2C5DF)16 = (101100010111011111)2
(A2D5A2)16 = (101000101101010110100010)2
(E4BF4A)16 = (111001001011111101001010)2
(ABF412)16 = (101010111111010000010010)2
(63DA7FE)16 = (110001111011010011111111110)2
n)
o)
p)
q)
r)
s)
t)
u)
v)
w)
x)
y)
z)
(10111000101001101)2 = (714D)16
(11100110001110)2 = (398E)16
(1010100001110)2 = (150E)16
(1011000011110010)2 = (B0F2)16
(1111100010101010)2 = (F8AA)16
(10000111010100001)2 = (EA1)16
(11111111000001101)2 = (FE0D)16
(100110011111001)2 = (4CF9)16
(1010000110001111)2 = (A18F)16
(1100110011111000)2 = (CCF8)16
(101010000001111)2 = (540F)16
(111110001111100)2 = (7C7C)16
(11101110111011)2 = (3BBB)16
4. Dados os números abaixo, informe quantos bits são necessários para representá-los.
a)
b)
c)
d)
e)
f)
g)
h)
i)
j)
k)
l)
m)
5.467 Æ 13 bits
67.894 Æ 17 bits
23.546 Æ 15 bits
18.769 Æ 15 bits
33.098 Æ 16 bits
21.345 Æ 15 bits
65.535 Æ 16 bits
133.054 Æ 18 bits
1.048.577 Æ 21 bits
500.786 Æ 19 bits
43.629 Æ 16 bits
3.021.392 Æ 22 bits
37.639.478 Æ 26 bits
n)
o)
p)
q)
r)
s)
t)
u)
v)
w)
x)
y)
z)
140.361 Æ 18 bits
8.388.651 Æ 24 bits
268.433.456 Æ 28 bits
5.635.489.671 Æ 33 bits
17.362.182 Æ 25 bits
39.698.563.712 Æ 36 bits
19.456 Æ 15 bits
145.726.693 Æ 28 bits
71.692.453 Æ 27 bits
396.591 Æ 19 bits
2.140.365.194 Æ 31 bits
2.027.356 Æ 21 bits
140.333.999 Æ 28 bits
5. Apresente os valores abaixo nas suas respectivas faixa de apresentação.
a)
b)
c)
d)
e)
f)
g)
h)
i)
j)
k)
l)
m)
217 = 128K
245 = 32T
212 = 4K
238 = 256G
227 = 128M
219 = 512K
220 = 1M
231 = 2G
249 = 512T
237 = 128G
222 = 4M
213 = 8K
230 = 1G
n)
o)
p)
q)
r)
s)
t)
u)
v)
w)
x)
y)
z)
243 = 8T
248 = 256T
211 = 2K
225 = 32M
234 = 16G
246 = 64T
247 = 128T
232 = 4G
215 = 32K
210 = 1K
241 = 2T
240 = 1T
229 = 512M