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Cerrena [4.2K]
3 years ago
9

Convert the following decimal values into binary (a) 141 (b) 207 (c) 144

Mathematics
1 answer:
sergejj [24]3 years ago
6 0

Answer:

a)(141)_{10}=(10001101)_2

b)(207)_{10}=(11001111)_2

c) (144)_{10}=(10010000)_2                    

Step-by-step explanation:

We need to convert decimal value  in binary value

So Follow the below steps

Keep on dividing the decimal values by 2 until the denominator becomes 0 or 1.

a)

    Decimal value                  Quotient         Remainder

        141                                     70                       1            

        70                                     35                       0

        35                                      17                        1

        17                                        8                         1

        8                                          4                        0

        4                                          2                        0

        2                                           1                        0

        1                                            0                        1

Now write remainder  from bottom to up 10001101.

(141)_{10}=(10001101)_2

10 base is called  decimal value and base 2 is called binary value.

b)

  Decimal value                  Quotient         Remainder

        207                                     103                    1            

        103                                    51                        1

        51                                      25                       1

        25                                      12                       1

        12                                        6                       0

        6                                          3                      0

        3                                          1                       1

        1                                           0                      1

Now write remainder  from bottom to up 11001111.

 (207)_{10}=(11001111)_2    

c)

 Decimal value                  Quotient         Remainder

        144                                     72                   0            

        72                                     36                     0

        36                                      18                     0

        18                                       9                      0

        9                                        4                       1

        4                                        2                      0

        2                                         1                      0

        1                                          0                     1                                                                      

Now write remainder  from bottom to up 10010000.

 (144)_{10}=(10010000)_2    

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