Quiz 1 + Take Home Notes: 1. The exam is open book and open notes. 2. Do the pro

Question

Quiz 1 + Take Home Notes:

1. The exam is open book and open notes.

2. Do the problems in any order, as long as they are properly labeled.

3. Do the easiest problems first.

4. If you attempt a problem and cannot solve it, move on and try to come back to it later.

5. Do not get stuck on any one problem.

6. Check your answers for mistakes in solution steps.

7. Content: o Base 10 (decimal) o Base 2 (binary) o Base 16 (hexadecimal) o Base

8 (octal) o Other Bases. -Radix Conversions o Signed Integer representations: 2’s complement 1’s complement signed-magnitude o Binary arithmetic: addition and subtraction Character, Symbol and Text Representations o Ascii code o Unicode

1.

Find the two's complement of the following numbers. Represent in both binary and hexadecimal.

a. FFFF FFFF FEFE EFEF

b. DF7E FDCB 970E 58FA

Explanation / Answer

Answers:

For finding the 2’s complement of the given number:

First convert the given number into 1’s complement , then add the 1 to the 1’s complement number. Then we can get the 2’s complement

First convert the given hexadecimal number to binary number system

   F F F       F F F F F F E F E E F E F

1111 1111 1111 1111   1111 1111 1111 1111 1111 1110 1111 1110   1110 1111 1110 1111

Then we can convert the binary number into 1’s complement

0000000000000000 0000000000000000 0000000100000001 0001000000010000

1

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0000000000000000 0000000000000000 0000000100000001 0001000000010001

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Binary

0000000000000000 0000000000000000 0000000100000001 0001000000010001

hexa decimal

0000 0000 0101 1010

First convert the given hexadecimal number to binary number system

   D F 7 E F D C B 9 7 0 E 5 8       F A

1101 1111 0111 1110   1111 1101 1100 1011 1001 0111 0000 1110 0101 1000 1111 1010

Then we can convert the binary number into 1’s complement

0010000010000001 0000001000110100 0110100011110001 1010011100000101

1

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0010000010000001 0000001000110100 0110100011110001 1010011100000110

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Binary

0010000010000001 0000001000110100 0110100011110001 1010011100000110

Hexa decimal

2081 0234 68F1 A706

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