AchitOrdianateur


exo 0.1
addition
bcd
  110 
+1110 
-----
10100

c2
 0111  (7)
+1011  (-5)
-----------
 0010  (2)

soustraction
 10100110  2+4+   32+   128
-00111100    4+16+32+64+128
---------
 01101010
 
 1000100
-  11011
---------
  101001
  
en c2
 0010
-1101
-----
 0101
 
EXErCICE 1
0.
0 a 2^{16}-1

1.
-2^{15} a 2^{15}-1


2-a
2010(10)
1005  0
502   1
251   0
125   1
62    1
31    0
15    1 
7     1
3     1
1     1
0     1
->
111 1101 1010(2)

7DA(8)

2-b

-<2010



3.

  0110 1100 0001 1011
->1+2+2^4+2^5+2^10+2^11+2^13+2^14= 27 675

  1011 0110 1011 0011 
->0100 1001 0100 1100+1
->0100 1001 0100 1101
->1+2^2+.....
un truc


3a.

122+(-7)
 01111010
+11111001
---------
 01110011
 
 
 (-111)+(-17)
 
 10010001
+11101111
---------
 10000000 ->-128 dans la capacité
 
 
 111+17
 01101111
+00010001
 10000000 -> -128 dépacement de capacité
 
 EXErCICE 2
 
118.625

118=01110110

0.625->1.250
0.25->0.50
0.5*2=1

0.625=0.10100000

118.625=01110110.10100000




exercice3.3