|
|
Действия над числами в различных системах счисления
|
32768
|
4096
|
512
|
64
|
8
|
1
|
,
|
0,125
|
0,01563
|
0,00195
|
|
|
|
|
|
|
7,000
|
3,000
|
0,000
|
|
1
|
6
|
|
|
|
|
|
472
|
0
|
0
|
448
|
24
|
0
|
|
0,125
|
0,09375
|
0
|
|
0,21875
|
|
|
|
|
|
|
|
472,2188
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
+
|
1
|
5
|
3
|
2
|
,
|
1
|
4
|
|
|
|
|
7
|
3
|
0
|
,
|
1
|
6
|
|
|
2
|
4
|
6
|
2
|
,
|
3
|
2
|
|
|
|
4+6=12
5+7=14
|
|
|
|
|
|
|
|
32768
|
4096
|
512
|
64
|
8
|
1
|
,
|
0,125
|
0,01563
|
0,00195
|
0,00024
|
3,1E-05
|
|
|
|
2,000
|
4,000
|
6,000
|
2,000
|
|
3
|
2
|
1
|
7
|
2
|
|
|
1330
|
0
|
1024
|
256
|
48
|
2
|
|
0,375
|
0,03125
|
0,00195
|
0,00171
|
6,1E-05
|
|
|
|
|
|
|
|
1330,4100
|
|
|
|
|
|
|
|
д) BB,4(16)+2F0,6(16)= 187,25(10)+752.375(10)=939.625(10)=
|
4096
|
256
|
16
|
1
|
,
|
0,0625
|
0,0039063
|
0,0002441
|
|
|
|
11
|
11
|
|
4
|
|
|
|
|
187
|
0
|
176
|
11
|
|
0,25
|
0
|
0,25
|
|
|
|
|
|
187,250
|
|
|
|
|
|
|
4096
|
256
|
16
|
1
|
,
|
0,0625
|
0,0039063
|
0,0002441
|
|
|
2
|
15
|
0
|
|
6
|
|
|
|
|
752
|
512
|
240
|
0
|
|
0,375
|
0
|
0,375
|
|
|
|
|
|
752,375
|
|
|
|
|
|
+
|
2
|
F
|
0
|
,
|
6
|
|
|
|
B
|
B
|
,
|
4
|
|
|
3
|
A
|
B
|
,
|
A
|
|
|
|
10
|
11
|
|
10
|
|
|
F+B=1A
|
4096
|
256
|
16
|
1
|
,
|
0,0625
|
0,0039063
|
0,0002441
|
|
|
3
|
10
|
11
|
|
10
|
|
|
|
|
939
|
768
|
160
|
11
|
|
0,625
|
0
|
0,625
|
|
|
|
|
|
939,625
|
|
|
|
|
|
4. Выполнить вычитание
а)1000101110(2)-1111111(2)= 558(10)-127(10)= 110101111 (2) =431(10)
|
512
|
256
|
128
|
64
|
32
|
16
|
8
|
4
|
2
|
1
|
|
|
|
1
|
0
|
0
|
0
|
1
|
0
|
1
|
1
|
1
|
0
|
|
|
|
512
|
0
|
0
|
0
|
32
|
0
|
8
|
4
|
2
|
0
|
558
|
|
|
512
|
256
|
128
|
64
|
32
|
16
|
8
|
4
|
2
|
1
|
|
|
|
|
|
1
|
1
|
1
|
1
|
1
|
1
|
1
|
|
|
|
0
|
0
|
0
|
64
|
32
|
16
|
8
|
4
|
2
|
1
|
127
|
|
|
|
-
|
1
|
0
|
0
|
0
|
1
|
0
|
1
|
1
|
1
|
0
|
|
|
|
|
|
|
1
|
1
|
1
|
1
|
1
|
1
|
1
|
|
|
|
|
1
|
1
|
0
|
1
|
0
|
1
|
1
|
1
|
1
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
512
|
256
|
128
|
64
|
32
|
16
|
8
|
4
|
2
|
1
|
|
|
|
|
1
|
1
|
0
|
1
|
0
|
1
|
1
|
1
|
1
|
|
|
|
0
|
256
|
128
|
0
|
32
|
0
|
8
|
4
|
2
|
1
|
431
|
|
|
б)1011101000(2)-1001000000(2)= 744(10)-576(10)= 10101000 (2) =168(10)
|
512
|
256
|
128
|
64
|
32
|
16
|
8
|
4
|
2
|
1
|
|
|
|
1
|
0
|
1
|
1
|
1
|
0
|
1
|
0
|
0
|
0
|
|
|
|
512
|
0
|
128
|
64
|
32
|
0
|
8
|
0
|
0
|
0
|
744
|
|
|
|
512
|
256
|
128
|
64
|
32
|
16
|
8
|
4
|
2
|
1
|
|
|
|
1
|
0
|
0
|
1
|
0
|
0
|
0
|
0
|
0
|
0
|
|
|
|
512
|
0
|
0
|
64
|
0
|
0
|
0
|
0
|
0
|
0
|
576
|
|
|
|
-
|
1
|
0
|
1
|
1
|
1
|
0
|
1
|
0
|
0
|
0
|
|
|
|
1
|
0
|
0
|
1
|
0
|
0
|
0
|
0
|
0
|
0
|
|
|
|
|
|
1
|
0
|
1
|
0
|
1
|
0
|
0
|
0
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
512
|
256
|
128
|
64
|
32
|
16
|
8
|
4
|
2
|
1
|
|
|
|
|
|
1
|
0
|
1
|
0
|
1
|
0
|
0
|
0
|
|
|
|
|
|
128
|
0
|
32
|
0
|
8
|
0
|
0
|
0
|
168
|
|
|
в)1000101001,1(2)-1111101,1(2)= 553.5(10)-125.5(10)= 110101100,0 (2) =428.0(10)
|
|
1
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
0,5
|
0,25
|
0,125
|
0,063
|
0,031
|
0,02
|
0,01
|
0,0039
|
0,002
|
0,001
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
0,5
|
0,5
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
512
|
256
|
128
|
64
|
32
|
16
|
8
|
4
|
2
|
1
|
|
|
|
|
|
1
|
0
|
0
|
0
|
1
|
0
|
1
|
0
|
0
|
1
|
|
|
|
|
|
512
|
0
|
0
|
0
|
32
|
0
|
8
|
0
|
0
|
1
|
553
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
553,50
|
|
|
|
|
|
1
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
0,5
|
0,25
|
0,125
|
0,063
|
0,031
|
0,02
|
0,01
|
0,0039
|
0,002
|
0,001
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
0,5
|
0,5
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
512
|
256
|
128
|
64
|
32
|
16
|
8
|
4
|
2
|
1
|
|
|
|
|
|
|
|
|
1
|
1
|
1
|
1
|
1
|
0
|
1
|
|
|
|
|
|
0
|
0
|
0
|
64
|
32
|
16
|
8
|
4
|
0
|
1
|
125
|
|
|
|
|
125,500
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
428,000
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
-
|
1
|
0
|
0
|
0
|
1
|
0
|
1
|
0
|
0
|
1
|
,
|
1
|
|
|
|
|
|
1
|
1
|
1
|
1
|
1
|
0
|
1
|
,
|
1
|
|
|
|
1
|
1
|
0
|
1
|
0
|
1
|
1
|
0
|
0
|
,
|
0
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
512
|
256
|
128
|
64
|
32
|
16
|
8
|
4
|
2
|
1
|
|
|
|
|
|
1
|
1
|
0
|
1
|
0
|
1
|
1
|
0
|
0
|
|
|
|
|
|
256
|
128
|
0
|
32
|
0
|
8
|
4
|
0
|
0
|
428
|
|
|
|
г)1265,2(8)-610,2(8)=693.25(10)-392.25(10)=301.00(10)=455.0(8)
|
32768
|
4096
|
512
|
64
|
8
|
1
|
,
|
0,125
|
0,01563
|
0,00195
|
0,00024
|
|
|
|
1,000
|
2,000
|
6,000
|
5,000
|
|
2
|
|
|
|
|
|
693
|
0
|
512
|
128
|
48
|
5
|
|
0,25
|
0
|
0
|
0,25
|
|
|
|
|
|
|
|
693,2500
|
|
|
|
|
|
|
32768
|
4096
|
512
|
64
|
8
|
1
|
,
|
0,125
|
0,01563
|
0,00195
|
0,00024
|
|
|
|
|
6,000
|
1,000
|
0,000
|
|
2
|
|
|
|
|
|
392
|
0
|
0
|
384
|
8
|
0
|
|
0,25
|
0
|
0
|
0,25
|
|
|
|
|
|
|
|
392,2500
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
-
|
1
|
2
|
6
|
5
|
,
|
2
|
|
|
|
|
6
|
1
|
0
|
,
|
2
|
|
|
|
4
|
5
|
5
|
,
|
0
|
|
|
|
8+2-6=4
|
|
|
|
|
|
32768
|
4096
|
512
|
64
|
8
|
1
|
,
|
0,125
|
0,01563
|
0,00195
|
0,00024
|
|
|
|
|
4,000
|
5,000
|
5,000
|
|
2
|
|
|
|
|
|
301
|
0
|
0
|
256
|
40
|
5
|
|
0,25
|
0
|
0
|
0,25
|
|
|
|
|
|
|
|
301,2500
|
|
|
|
|
|
|
д) 409,D(16)-270,4(16)=1033.813(10)-624.25(10)= 409.563(10)=199.9(16)
|
4096
|
256
|
16
|
1
|
,
|
0,0625
|
0,0039063
|
0,0002441
|
|
|
4
|
0
|
9
|
|
13
|
|
|
|
|
1033
|
1024
|
0
|
9
|
|
0,8125
|
0
|
0,8125
|
|
|
|
|
|
1033,813
|
|
|
|
|
|
|
4096
|
256
|
16
|
1
|
,
|
0,0625
|
0,003906
|
0,000244
|
1,53E-05
|
|
|
2
|
7
|
0
|
|
4
|
|
|
|
|
|
0
|
512
|
112
|
0
|
|
0,25
|
0
|
0
|
0
|
|
|
624
|
|
|
|
624,2500
|
|
|
0,25
|
|
|
|
|
-
|
4
|
0
|
9
|
,
|
D
|
|
|
2
|
7
|
0
|
,
|
4
|
|
|
1
|
9
|
9
|
,
|
9
|
|
13-4=9
7+9=10>10-7=9
3-2=1
|
|
|
|
|
|
|
4096
|
256
|
16
|
1
|
,
|
0,0625
|
0,0039063
|
0,0002441
|
|
|
1
|
9
|
9
|
|
9
|
|
|
|
|
409
|
256
|
144
|
9
|
|
0,5625
|
0
|
0,5625
|
|
|
|
|
|
409,563
|
|
|
|
|
|
5. Выполнить умножение
а)111010(2)=*1100000(2)= 58(10)*96(10)= 1010111000000(2) =5568 (10)
|
512
|
256
|
128
|
64
|
32
|
16
|
8
|
4
|
2
|
1
|
|
|
|
|
|
|
1
|
1
|
1
|
0
|
1
|
0
|
|
|
|
|
|
|
32
|
16
|
8
|
0
|
2
|
0
|
58
|
|
|
|
512
|
256
|
128
|
64
|
32
|
16
|
8
|
4
|
2
|
1
|
|
|
|
|
|
1
|
1
|
0
|
0
|
0
|
0
|
0
|
|
|
|
|
|
64
|
32
|
0
|
0
|
0
|
0
|
0
|
96
|
|
|
|
|
|
|
|
*
|
1
|
1
|
0
|
0
|
0
|
0
|
0
|
|
|
|
|
|
|
|
|
1
|
1
|
1
|
0
|
1
|
0
|
|
|
|
|
|
|
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
|
|
|
|
|
|
1
|
1
|
0
|
0
|
0
|
0
|
0
|
|
|
|
|
|
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
|
|
|
|
|
|
1
|
1
|
0
|
0
|
0
|
0
|
0
|
|
|
|
|
|
|
1
|
1
|
0
|
0
|
0
|
0
|
0
|
|
|
|
|
|
|
1
|
1
|
0
|
0
|
0
|
0
|
0
|
|
|
|
|
|
|
|
1
|
0
|
1
|
0
|
1
|
1
|
1
|
0
|
0
|
0
|
0
|
0
|
0
|
|
|
|
4096
|
2048
|
1024
|
512
|
256
|
128
|
64
|
32
|
16
|
8
|
4
|
2
|
1
|
|
|
|
1
|
0
|
1
|
0
|
1
|
1
|
1
|
0
|
0
|
0
|
0
|
0
|
0
|
|
|
|
4096
|
0
|
1024
|
0
|
256
|
128
|
64
|
0
|
0
|
0
|
0
|
0
|
0
|
5568
|
|
|
б)1005.5(8)*63.3(8)= 517,6250(10)*51,3750(10)=26592.98(10)= 63740.7656(8)
|
32768
|
4096
|
512
|
64
|
8
|
1
|
,
|
0,125
|
0,01563
|
0,00195
|
0,00024
|
|
|
|
1,000
|
0,000
|
0,000
|
5,000
|
|
5
|
|
|
|
|
|
517
|
0
|
512
|
0
|
0
|
5
|
|
0,625
|
0
|
0
|
0,625
|
|
|
|
|
|
|
|
517,6250
|
|
|
|
|
|
|
|
32768
|
4096
|
512
|
64
|
8
|
1
|
,
|
0,125
|
0,01563
|
0,00195
|
0,00024
|
|
|
|
|
|
6,000
|
3,000
|
|
3
|
|
|
|
|
|
51
|
0
|
0
|
0
|
48
|
3
|
|
0,375
|
0
|
0
|
0,375
|
|
|
|
|
|
|
|
51,3750
|
|
|
|
|
|
|
|
32768
|
4096
|
512
|
64
|
8
|
1
|
,
|
0,125
|
0,015625
|
0,0019531
|
0,0002441
|
|
|
6,000
|
3,000
|
7,000
|
4,000
|
0,000
|
|
7
|
6
|
5
|
6
|
|
|
26592
|
24576
|
1536
|
448
|
32
|
0
|
|
0,875
|
0,09375
|
0,0097656
|
0,9785156
|
|
|
|
|
|
|
|
26592,9785
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
*
|
1
|
0
|
0,
|
5
|
5
|
|
|
|
|
|
6,
|
3
|
3
|
|
|
|
3
|
0
|
2
|
0
|
7
|
|
|
3
|
0
|
2
|
0
|
7
|
|
|
|
6
|
0
|
4
|
2
|
6
|
|
|
|
|
6
|
3
|
7
|
4
|
0,
|
7
|
7
|
|
|
3*5=17
3*5+1=17+1=18>(2)0
3*0+2=2
3*0=0
3*1=3
2+6=0
6*5=36
6*5+6=(4)2
6*0+4=4
6*0=0
6*1=6
в)4A,3(16)*F,6(16)= 74.188(10)*15.375(10)=1140.64(10)=474.A2(16)
|
4096
|
256
|
16
|
1
|
,
|
0,0625
|
0,0039063
|
0,0002441
|
|
|
|
4
|
10
|
|
3
|
|
|
|
|
74
|
0
|
64
|
10
|
|
0,1875
|
0
|
0,1875
|
|
|
|
|
|
74,188
|
|
|
|
|
|
|
4096
|
256
|
16
|
1
|
,
|
0,0625
|
0,0039063
|
0,0002441
|
|
|
|
|
15
|
|
6
|
|
|
|
|
15
|
0
|
0
|
15
|
|
0,375
|
0
|
0,375
|
|
|
|
|
|
15,375
|
|
|
|
|
|
*
|
4
|
A,
|
3
|
|
|
|
|
F,
|
6
|
|
|
1
|
B
|
D
|
2
|
|
|
4
|
5
|
8
|
D
|
|
|
|
4
|
7
|
4,
|
A
|
2
|
|
|
6*3=18=1*16+2
6*A=60+1=61=3*16+13>D
6*4=24+3=27=1*16+11>B
F*3=15*3=45=2*16+13>D
F*A=15*10=150+2=9*16+8
F*4=15*4=60+9=69=4*16+5
2+0=2
13+13=26=1*16+10>A
11+8=19+1=20=1*16+4
1+5+1=7
4
|
4096
|
256
|
16
|
1
|
,
|
0,0625
|
0,0039063
|
0,0002441
|
|
|
4
|
7
|
4
|
|
10
|
2
|
|
|
|
1140
|
1024
|
112
|
4
|
|
0,625
|
0,0078125
|
0,6328125
|
|
|
|
|
|
1140,633
|
|
|
|
|
|
Список литературы
1) Пономарёв В.С., Красников В.В. Методические указания по теме: "Арифметические основы ЭВМ":http://static.dstu.edu.ru/informatics/mtdss/part1.html
2) Википедия: http://ru.wikipedia.org/wiki/Двоичная_система_счисления
3) Шауцукова Л.З. Информатика 10 - 11. -- М.: Просвещение, 2000 г.: http://www.rus-edu.bg/edu/online/inf/bookinf/theory/chapter4/1_4_10.html
4) Системы счисления Анжелиной Латышевой : http://logika.weebly.com/10571083108610781077108510801077-1074-107410861089110010841077108810801095108510861081-1089108010891090107710841077.html
Страницы: 1, 2, 3
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