86 lines
1.3 KiB
Markdown
86 lines
1.3 KiB
Markdown
|
# Exercices
|
||
|
|
|
||
|
|
## Binary
|
||
|
|
|
||
|
|
1) \\( \\)
|
||
|
|
|
||
|
|
2) 4095
|
||
|
|
|
||
|
|
3) 100000 (2) = 32 (10)
|
||
|
|
4) 000010 (2) = 2 (10)
|
||
|
|
5) 111111 (2) = 63 (10)
|
||
|
|
6) 010101 (2) = 21 (10)
|
||
|
|
|
||
|
|
7) 64 (10) = 0100 0000 (2)
|
||
|
|
8) 7 (10) = 0000 0100 (2)
|
||
|
|
9) 192 (10) = 1100 0000 (2)
|
||
|
|
10) 3073 (10) = 0110 0000 0001 (2)
|
||
|
|
|
||
|
|
11) 0x1010 = 4112
|
||
|
|
12) 0x10A0 = 4256
|
||
|
|
13) 0xBABE = 47806
|
||
|
|
|
||
|
|
14) 020 = 16
|
||
|
|
15) 072 = 58
|
||
|
|
|
||
|
|
16) sur papier = 0xCAFE
|
||
|
|
17) sur papier = 02001
|
||
|
|
|
||
|
|
18) 0xCAFE = 1100 1010 1111 1110
|
||
|
|
19) 0xCAFE = 0145376
|
||
|
|
20) 072 = 111010
|
||
|
|
|
||
|
|
21) > ./algo_q21.py
|
||
|
|
|
||
|
|
## Complement a 2
|
||
|
|
|
||
|
|
22)
|
||
|
|
23) \\( -2^11 → 2^11-1 \\)
|
||
|
|
|
||
|
|
24) 17 = 0001 0001
|
||
|
|
25) -17 = 1110 1101
|
||
|
|
26) 255 = 1111 1111 (Imposible car pas dans l'interval)
|
||
|
|
27) -128 = 1000 0000
|
||
|
|
28) -73 = 10110111
|
||
|
|
|
||
|
|
29) 01001111
|
||
|
|
+ 00000001
|
||
|
|
= 01010000
|
||
|
|
|
||
|
|
30) - 10010110 = 01101010
|
||
|
|
|
||
|
|
31) 01001111
|
||
|
|
+ 01000001
|
||
|
|
---------
|
||
|
|
= 10010000 (Overflow, le nombre n'est pas dans la range de nombre accesible sur 8 bits en ca2)
|
||
|
|
|
||
|
|
32) 00000001
|
||
|
|
- 00000010
|
||
|
|
----------
|
||
|
|
= 11111111
|
||
|
|
|
||
|
|
33) 00001001
|
||
|
|
x 00000110
|
||
|
|
----------
|
||
|
|
000010010
|
||
|
|
+ 0000100100
|
||
|
|
------------
|
||
|
|
= 0000110110
|
||
|
|
|
||
|
|
34) 10000001
|
||
|
|
- 10000010
|
||
|
|
----------
|
||
|
|
= 11111111
|
||
|
|
35) - 10000000 = 011111111 (Imposible a representer sur 8 bits)
|
||
|
|
|
||
|
|
36) 00010100
|
||
|
|
/ 00000101
|
||
|
|
----------
|
||
|
|
00000100
|
||
|
|
|
||
|
|
37) 00010111
|
||
|
|
/ 00001001
|
||
|
|
----------
|
||
|
|
00000010 (reste 101)
|
||
|
|
38)
|