Question

Question 9 (1 point) in The number - 9 10 is to be stored in an 8-bit register as a signed binary number in 2's- complement form. Which of the following represents the register contents? 11111010 00110101 00011101 11110111 Question 10 (1 point) Saved Convert 3725 (decimal) to a hexadecimal number 1E2 O EFI

Answer 1

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Answer:
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9)  d.  11110111
10) c.  E8D

Explanation:
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9)
This is negative. so, follow these steps to convert this into a 2's complement binary
Step 1:
Divide 9 successively by 2 until the quotient is 0
   > 9/2 = 4, remainder is 1
   > 4/2 = 2, remainder is 0
   > 2/2 = 1, remainder is 0
   > 1/2 = 0, remainder is 1
Read remainders from the bottom to top as 1001
So, 9 of decimal is 1001 in binary
Adding 4 zeros on left hand side of this number to make this of length 8
So, 9 in normal binary is 00001001
Step 2: flip all the bits. Flip all 0's to 1 and all 1's to 0.
   00001001 is flipped to 11110110
Step 3:. Add 1 to above result
11110110 + 1 = 11110111
so, -9 in 2's complement binary is 11110111
Answer: 11110111

10)
Divide 3725 successively by 16 until the quotient is 0
3725/16 = 232, remainder is 13
232/16 = 14, remainder is 8
14/16 = 0, remainder is 14
Read remainders from the bottom to top as E8D
Answer: E8D

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