Convert the 1's complement 10111010 to decimal

69

Explanation:

We are given a 1's complement of a number.So to convert it to the original number we have again take the 1's complement of the given 1's complement to convert it to the original number.We can do that by converting all 0's to 1's adn all 1's to 0's.

1's complement= 10111010

original number=01000101

Then to convert the binary number to the decimal number we have multiply each bit with the respective exponent of 2.The exponent of the LSB is 0 and it increases as we move to MSB by 1.

So the calculations are as  following:-

(01000101)₂ = (0 × 2⁷) + (1 × 2⁶) + (0 × 2⁵) + (0 × 2⁴) + (0 × 2³) + (1 × 2²) + (0 × 2¹) + (1 × 2⁰) = (69)₁₀

the first compliment of   01000101 is 69

Explanation:

given,

binary numbers -   10111010                    

so first compliment of the binary numbers                    

1st compliment of binary number = 01000101                    

now conversion of 1st compliment into decimal                            

01000101  = 0 × 2⁷ + 1 × 2⁶ + 0 × 2⁵ + 0 × 2⁴ + 0 × 2³ +1 × 2² + 0 × 2¹ + 1 × 2⁰

                  = 1 × 2⁶ + 1 × 2² + 1 × 2⁰                      

                  = 64 + 4 + 1                              

                  = 69                                        

the first compliment of   01000101 is 69

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posting this in wrong category will result in people seeing it who won't know the answer.