4.5 Data Representation - Calculations

Question 1

What is -9 in 8-bit binary?

Answer 1

1111 0111

Question 2

What is -43 in 8-bit binary?

Answer 2

1101 0101

Question 3

What is -65 in 8-bit binary?

Answer 3

1011 1111

Question 4

What is -120 in 8-bit binary?

Answer 4

1000 1000

Question 5

What is -1 in 8-bit binary?

Answer 5

1111 1111

Question 6

What is 0011 0010 times by 2 in 8-bit binary?

Answer 6

0110 0100

Question 7

What is 0100 0101 times by 2 in 8-bit binary?

Answer 7

1000 1010

Question 8

What is 1010 1110 times by 2 in 8-bit binary?

Answer 8

0101 1100 with an overflow

Question 9

What is 0011 0010 times by 4 in 8-bit binary?

Answer 9

1100 1000

Question 10

What is 0100 0101 times by 4 in 8-bit binary?

Answer 10

0001 0100 with an overflow

Question 11

What is 1010 1110 times by 4 in 8-bit binary?

Answer 11

1011 1000 with an overflow

Question 12

What is 0011 0010 times by 101 in 8-bit binary?

Answer 12

1111 1010

Question 13

What is 0100 0101 times by 101 in 8-bit binary?

Answer 13

0101 1001 with an overflow

Question 14

What is 1010 1110 times by 101 in 8-bit binary?

Answer 14

0110 0110 with an overflow

Question 15

What is 0001 1010 add 000 0101 in 8-bit binary?

Answer 15

0001 1111

Question 16

What is 0000 1001 add 0000 0101 in 8-bit binary?

Answer 16

0000 1110

Question 17

What is 0001 0011 add 0000 1011 in 8-bit binary?

Answer 17

0000 1110

Question 18

What is 0110 1111 add 0101 1101 in 8-bit binary?

Answer 18

0100 0001

Question 19

Show how a computer would subtract 9 from 18 in binary

Answer 19

9 = 0000 0101
-9 = 0000 1011
18 = 0000 1010
18 + (-9) = (1) 0101 1100

Question 20

Show how a computer would subtract 14 from 51 in binary

Answer 20

14= 0000 1110
-14 =1111 0010
51 = 0011 0011
51 + (-14)	= (1) 0010 0101
 Carry Bits 1110 0100

Question 21

What is 4.5 in 8 bit binary with a fixed point after the 4th position

Answer 21

0100.1000

Question 22

What is 3.125 in 8 bit binary with a fixed point after the 4th position

Answer 22

0011.0010

Question 23

What is 9.3125 in 8 bit binary with a fixed point after the 4th position

Answer 23

1001.0101

Question 24

What is 15.0625 in 8 bit binary with a fixed point after the 4th position

Answer 24

1111.0001

Question 25

What is 5.0 in 8 bit binary with a fixed point after the 4th position

Answer 25

0101.0000

Question 26

What is 01000011.01000100 in decimal

Answer 26

67.26563

Question 27

What is 10111111.10010011 in decimal

Answer 27

191.5742