Senin, 08 Oktober 2012

TUGAS RANGKAIAN DIGITAL



TUGAS  I
RANGKAIN DIGITAL

SOAL:
1.      120 + 54
2.      224 -132
3.      112 -89
4.      110 + 100
5.      200 + 20
6.      111 – 25
 JAWABAN:
1.      120=1111000                                                              54=110110
120/2 =60 sisa 0                                                          54/2 =27 sisa 0
60/2   =30 sisa 0                                                          27/2 =13 sisa 1
30/2   =15 sisa 0                                                          13/2 =6    sisa1
15/2   =7   sisa 1                                                          6/2   =3    sisa 0
7/2     =3   sisa 1                                                          3/2   =1    sisa 1
3/2     =1   sisa 1                                                                      1
            1

Jadi,  1111000                                    sehingga 120 +54 =11111110
            110110    +
                    11111110                       
2.      224=11100000                                                            132=10000100
224/2 =112 sisa 0                                                        132/2 =66 sisa 0
112/2 =56   sisa 0                                                        66/2   =33 sisa 0
56/2   =28   sisa 0                                                        33/2   =16 sisa 1                                 
28/2   =14   sisa 0                                                        16/2   =8   sisa 0
14/2   =7     sisa 0                                                        8/2     =4   sisa 0
7/2     =3     sisa 1                                                        4/2     =2   sisa 0
3/2     =1     sisa 1                                                        2/2     =1   sisa 0
            1                                                                                  1


Jadi,     11100000                   sehingga, 224 – 132 = 01100100      
             10000100     -
               
             01100100

3.      112=    1110000                                                          89=1011001
112/2 =56 sisa 0                                                          89/2 =44 sisa 1                                   
56/2   =28 sisa 0                                                          44/2 =22 sisa 0                                   
28/2   =14 sisa 0                                                          22/2 =11 sisa 0
14/2   =7   sisa 0                                                          11/2 =5   sisa 1
7/2     =3   sisa 1                                                          5/2   =2   sisa 1
3/2     =1   sisa 1                                                          2/2   =1   sisa 0
1                                                                                                                                                                    1

Jadi,   1110000                       sehingga, 112 -89 =0011001
            1011001      -
                        0011001
4.      110 = 1101110                                                            100 = 1100100
110/2 =55 sisa 0                                                          100/2 =50 sisa 0
55/2   =27 sisa 1                                                          50/2   =25 sisa 0
27/2   =13 sisa 1                                                          25/2   =12 sisa 1
13/2   =6   sisa 1                                                          12/2   =6   sisa 0
6/2     =3   sisa 0                                                          6/2     =3   sisa 0
3/2     =1   sisa 1                                                          3/2     =1   sisa 1
1                                                                                                                                                                    1

Jadi,  1101110                        sehingga,  110 + 100 =11111110
           1100100     +


         11111110
5.      200 =11001000                                                           20 =10100
200/2 =100 sisa 0                                                        20/2 =10 sisa 0
100/2 =50   sisa 0                                                        10/2 =5   sisa 0
50/2   =25   sisa 0                                                        5/2   =2   sisa 1
25/2   =12   sisa 1                                                        2/2   =1   sisa 0
12/2   =6     sisa 0                                                                    1
6/2     =3     sisa 0
3/2     =1     sisa 1

Jadi,  11001000                                  sehingga,  200 +20 =11011100
                 10100    +
        
         110011100

6.      111 =1101111                                                             25 = 11001
111/2 =55 sisa 1                                                          25/2=12 sisa 1
55/2   =27 sisa 1                                                          12/2 =6  sisa 0
27/2   =13 sisa 1                                                          6/2   =3  sisa 0
13/2   =6   sisa 1                                                          3/2   =1  sisa 1
6/2     =3   sisa 0                                                                      1
3/2     =1   sisa 1
            1

Jadi,  1101111                                    sehingga,  111-25 = 1010110                        
               11001      -
                 
          1010110





TUGAS II
RANGKAIAN DIGITAL

SOAL:

Perbedaan nol(0) dan min nol(-0):

JAWABAN:

Menurut saya tidak ada perbedaan antara nol(0) dan min nol(-0),karena dalam angka matematika min(-0) tidak ada,yang ada hanya nol(0).

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