4 Find the 1s and 2s complements of the following binary num

4. Find the 1s and 2s complements of the following binary numbers: (a) 10010 (b) 110010 (c) 1102.1100 (d) 111010.0011(e) 1002.0001 (f) 110100.0100 (g) 1010110.111 Show your work.

Solution

[1]     10010
1s complements --> 01100 ( inverting the 0s & 1s of a given binary number)
2s complements -->    +1
                    -----
                     1101
                    -----  

[2]     110010
1s complements -->   1101 ( inverting the 0s & 1s of a given binary number)
2s complements -->     +1
                    ------
                      1110
                    ------

[3] 1102.1100 not a binary number ( 0 & 1 concider as Binnary Number)

[4] 111010.0011
1s complements --> 111111.1111
                  - 111010.0011
      --------------
        000101.1100
                 ----------------

    
2s complements --> 2^6 - 111010.0011
                     01000000.0000
                -      111010.0011  
                    ---------------
                       100101.1100
                    ---------------             
     

[5] 1002.0001   not a binary number ( 0 & 1 concider as Binnary Number)

[6] 110100.0100
1s complements --> 111111.1111
                  - 110100.0100
      --------------
          1011.1011  
                 ----------------

    
2s complements --> 2^6 - 110100.0100
                     01000000.0000
                -      110100.0100   
                    ---------------
                       101011.1100
                    ---------------

[7] 1010110.111
1s complements --> 1111111.111
                  - 1010110.111  
      --------------
         101001.000  
                 ----------------

    
2s complements --> 2^7 - 1010110.111
                     10000000.000
                -     1010110.111    
                    ---------------
                      1101001.111
                    ---------------