Which of the following bit patterns represents the value -9 in two’s complement

Question

  Which of the following bit patterns represents the value -9 in two’s complement notation?

                A. 00011010        B. 11110111        C. 10001001        D. 11111011

2.Which of the following representations in two’s complement notation represents the smallest value?

                A. 00000010        B. 11110000        C. 00000001        D. 11111111

3.A7 is the hexadecimal representation for which of the bit patterns ?

                A. 10100111        B. 11000101        C. 01110101        D. 100110111

Explanation / Answer

  Which of the following bit patterns represents the value -9 in two’s complement notation?

                A. 00011010        B. 11110111        C. 10001001        D. 11111011

Explanation:
-9 : First get the value of 9 i.e 00001001
Convert to 2s complement : 11110110 + 1 = 11110111
Answer is B

2.Which of the following representations in two’s complement notation represents the smallest value?

                A. 00000010        B. 11110000        C. 00000001        D. 11111111
A is 2 , B = 240 , C = 1, D = 255

D because its value is 1 if we convert it back to decimal . Hence D is smallest

3.A7 is the hexadecimal representation for which of the bit patterns ?

             Explanation: A is 1010 and 7 is 0111 in binary that corresponds to 10100111

                A. 10100111        B. 11000101        C. 01110101        D. 100110111

Answer is A

Thanks, let me know if there is any doubts

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