CS 237 Midterm #1

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2^5

^32

Given the following two's complementary binary words, show the equivalent two's complement hexadecimal word

each group of 4 binary bits = one hex character. ex. 1001 1101 0110 1110 9 D 5 E

(+) - (-)=

(+) + (+); Overflow if answer is (-)

(+) - (+)=

(+) + (-); No Overflow

(-) - (-)=

(-) + (+); No Overflow

(-) - (+) =

(-) + (-); Overflow if answer is (+)

Given the following two's complement hexadecimal bytes, show the equivalent value in decimal.

00-7f: are positive so find decimal regularly. 80-FF: are negative, subtract form 00 and then find the decimal and add a negative sign.

0

0000

1

0001

2

0010

3

0011

4

0100

5

0101

6

0110

7

0111

2^0

1

8

1000

9

1001

10-A

1010

11-B

1011

2^10

1024

12-C

1100

13-D

1101

14-E

1110

15-F

1111

2^7

128

2^4

16

word

16

2^14

16384

2^1

2

2^11

2048

2^8

256

long

32

2^15

32768

2^2

4

2^12

4096

2^9

512

2^6

64

2^16

65536

2^3

8

byte

8

2^13

8192

Given the following decimal numbers, show the equivalent as a two's complement HEXADECIMAL WORD

If its a negative find the hexadecimal regularly and then subtract from 00.

Given the decimal numbers, show the equivalent as a two's complement BINARY BYTE.

If its a negative then find the binary, "flip, switch and add one"

Given the followings two's complement binary bytes, show the equivalent value in decimal

If the binary starts with 1, "flip,switch, add one" then find the decimal regularly adding a negative sign in front of it


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