1/43 Przelicz dwoma sposobami na system dwójkowy liczby: b) (248)10 c) (385)10 d) (724)10 e) (927)1.... Question from @MaciekFnatik

January 2019 1 11 Report

1/43
Przelicz dwoma sposobami na system dwójkowy liczby:
b) (248)10
c) (385)10
d) (724)10
e) (927)10
f) (1342)10
g) (1289)10

2/44
Przelicz na system dziesiętny liczby:
a) (10111010)2
b) (111010111)2
c) (10010111)2
d) (101110101)2
e) (110110111)2
f) (1000111101)2

1/46
Przelicz na system ósemkowy liczby:
a) (101110101)2
b) (111001100)2
c) (10110100101)2
d) (456)10
e) (679)10
f) (1213)10

2/46
Przelicz na system dziesiętny liczby:
a) (257)8
b) (341)8
c) (653)8
d) 572)8
e) (724)8
f) 467)8

3/47
Przelicz na system dwójkowy liczby:
a) (372)8
b) (465)8
c) (777)8
d) (645)8
e) (542)8
f) (451)8

tomekvs 1/43

248 / 2 = 124 0
124 / 2 = 62 0
62 / 2 = 31 0
31 / 2 = 15 1
15 / 2 = 7 1
7 / 2 = 3 1
3 / 2 = 1 1
1 / 2 = 0 1
248 = 11111000

385 / 2 = 192 1
192 / 2 = 96 0
96 / 2 = 48 0
48 / 2 = 24 0
24 / 2 = 12 0
12 / 2 = 6 0
6 / 2 = 3 0
3 / 2 = 1 1
1 / 2 = 0 1
385 = 110000001

724 / 2 = 362    0
362 / 2 = 181    0
181 / 2 = 90    1
90 / 2 = 45    0
45 / 2 = 22    1
22 / 2 = 11    0
11 / 2 = 5    1
5 / 2 = 2 1
2 / 2 = 1 0
1 / 2 = 0 1
724 = 1011010100

927 / 2 = 463 1
463 / 2 = 231 1
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
927 = 1110011111

1342 / 2 = 671 0
671 / 2 = 335 1
335 / 2 = 167 1
167 / 2 = 83 1
83 / 2 = 41 1
41 / 2 = 20 1
20 / 2 = 10 0
10 / 2 = 5 0
5 / 2 = 2 1
2 / 2 = 1 0
1 / 2 = 0 1
1342 = 10100111110

1289 / 2 = 644 1
644 / 2 = 322 0
322 / 2 = 161 0
161 / 2 = 80 1
80 / 2 = 40 0
40 / 2 = 20 0
20 / 2 = 10 0
10 / 2 = 5 0
5 / 2 = 2 1
2 / 2 = 1 0
1 / 2 = 0 1
1289 = 10100001001

2/44

a) $10111010=0*2^0+1*2^1+0*2^2+1*2^3+1*2^4+1*2^5+0*2^6+1*2^7=0+2+0+8+16+32+0+128=186$

b)
$111010111=1*2^0+1*2^1+1*2^2+0*2^3+1*2^4+0*2^5+1*2^6+1*2^7+1*2^8=1+2+4+0+16+0+64+128+256=471$

c)
$10010111=1*2^0+1*2^1+1*2^2+0*2^3+1*2^4+0*2^5+0*2^6+1*2^7=1+2+4+0+16+0+0+128=151$

d) $101110101=1*2^0+0**2^1+1*2^2+0*2^3+1*2^4+1*2^5+1*2^6+0*2^7+1*2^8=1+0+4+0+16+32+64+0+256=373$

e) $110110111=1*2^0+1*2^1+1*2^2+0*2^3+1*2^4+1*2^5+0*2^6+1*2^7+1*2^8=1+2+4+0+16+32+0+128+256=439$

f) $1000111101=1*2^0+0*2^1+1*2^2+1*2^3+1*2^4+1*2^5+0*2^6+0*2^7+0*2^8+1*2^9=1+0+4+8+16+32+0+0+0+512=573$

1/46

a) $101110101 =565$
b) $111001100 =714$
c) $10110100101=2645$
d)
456 / 8 = 57 0
57 / 8 = 7 1
7 / 8 = 0    7
456 = 710
e)
679 / 8 = 84 7
84 / 8 = 10    4
10 / 8 = 1    2
1 / 8 = 0 1
679 = 1247
f)
1213 / 8 = 151   5
151 / 8 = 18    7
18 / 8 = 2 2
2 / 8 = 0 2
1213 = 2275

2/46

a) $257=7*8^0+5*8^1+2*8^2=7+40+128=175$
b) $341=1*8^0+4*8^1+3*8^2=1+32+192=225$
c) $653=3*8^0+5*8^1+6*8^2=3+40+384=427$
d) $572=2*8^0+7*8^1+5*8^2=2+56+320=378$
e) $724=4*8^0+2*8^1+7*8^2=4+16+448=468$
f) $467=7*8^0+6*8^1+4*8^2=7+48+256=311$

3/47

a) 372 = 11111010
b) 465 = 100110101
c) 777 = 111111111
d) 645 = 110100101
e) 542 = 101100010
f) 451 = 100101001

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