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Addiere und subtrahiere folgende Zahlen
-23
-401
-458
-128
312
23
------
Wandle folgende Zahl in eine Fliesskommazahl um
298
-23/2 = 11 Rest 1
11/2 = 5 Rest 1
5/2 = 2 Rest 1
2/2 = 1 Rest 0
1/2 = 0 Rest 1
23 ^= 10111b
401/2 = 200 Rest 1
200/2 = 100 Rest 0
100/2 = 50 Rest 0
50/2 = 25 Rest 0
25/2 = 12 Rest 1
12/2 = 6 Rest 0
6/2 = 3 Rest 0
3/2 = 1 Rest 1
1/2 = 0 Rest 1
401 ^= 110010001
1.1001.0001
458/2 = 229 Rest 0
229/2 = 114 Rest 1
114/2 = 57 Rest 0
57/2 = 28 Rest 1
28/2 = 14 Rest 0
14/2 = 7 Rest 0
7/2 = 3 Rest 1
3/2 = 1 Rest 1
1/2 = 0 Rest 1
458 ^= 111001010
1.1100.0010
Erweitern:
0000.0001.0111
0001.1001.0001
0001.1100.1010
1er Komplement
1111.1110.1000
1110.0110.1110
1110.0011.0101
2er Komplement
1111.1110.1001
1110.0110.1111
1110.0011.0110
Addieren
1111.1110.1001
1110.0110.1111
1111.11.1.111
--------------
1110.0101.1000
Probe:
0*2^0+0*2^1+0*2^2+1*2^3+1*2^4+0*2^5+1^2^6+0*2^7+0*2^8-1*2^9
1*2^3+1*2^4+1^2^6-1*2^9
8+16+64-512
64+16+8 = 88
-512+88 = -(412+12)=-424
Stimmt: -23-401 = -424
1110.0101.1000
1110.0011.1010
1100.1111....
--------------
1100.1001.0010
2048-1024-128-16-2=878
-424