6. Give the 16-bit 2\'s complement form of the following 8-bit 2\'s complement n

Question

6. Give the 16-bit 2's complement form of the following 8-bit 2's complement numbers:
(a) OX94
(b) OXFF
(c) OX23
(d) OXBC

7. Which of the following 16-bit 2's complement numbers can be shortened to 8 bits and maintain their values?
(a) OX00BA
(b) OXFF94
(c) OX0024
(d) OXFF3C

8. A positive binary number is even precisely when its last digit is 0. When is a negative 2's complement number even?

9. Assuming a given length of 8 bits, what are the decimal values of the following signed binary numbers after being arithmetically shifted to the left by 2 bits?
(a) 11110011
(b) 01110010
(c) 00101011
(d) 11011001
State whether there is an overflow.

10. Assuming a given length of 8 bits, what are the decimal values of the following signed binary numbers after being arithmetically shifted to the right by 1 bit?
(a) 11110010
(b) 01110010
(c) 00101010
(d) 11011000

Explanation / Answer

6)a

7)c

8)b

9)b

10)a given length of 8 bits, what are the decimal values of the following signed binary numbers after being arithmetically shifted to the right by 1 bit

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