binary

Question 1

SIGNED MAGNITUDE
Positive to signed magnitude representation

Answer 1

Standard binary encoding

Question 2

SIGNED MAGNITUDE
Negative to signed magnitude representation

Answer 2

Standard binary with a sign bit

Question 3

SIGNED MAGNITUDE
10001110

Answer 3

-14

Question 4

ONE’S COMPLEMENT
Negative to one’s complement representation

Answer 4

Flipped standard binary with a sign bit

Question 4

SIGNED MAGNITUDE
0 representation

Answer 4

00000000 | 10000000

Question 5

SIGNED MAGNITUDE
00001110

Answer 5

14

Question 6

ONE’S COMPLEMENT
Positive to one’s complement representation

Answer 6

Standard binary encoding

Question 7

ONE’S COMPLEMENT
00001110

Answer 7

14

Question 8

ONE’S COMPLEMENT
0 representation

Answer 8

00000000 | 11111111

Question 8

ONE’S COMPLEMENT
11110001

Answer 8

-14

Question 9

TWO’S COMPLEMENT
Negative to two’s complement representation

Answer 9

Flipped standard binary encoding with sign bit + 1

Question 10

TWO’S COMPLEMENT
Positive to two’s complement representation

Answer 10

Standard binary encoding

Question 11

TWO’S COMPLEMENT
00001110

Answer 11

14

Question 12

TWO’S COMPLEMENT
11110010

Answer 12

-14

Question 13

TWO’S COMPLEMENT
0 representation

Answer 13

00000000

Question 14

EXCESS REPRESENTATION
Integer to excess representation

Answer 14

Add the excess to the denary number (14 + 32 = 46)
Convert it to binary (00101110)

Question 15

EXCESS REPRESENTATION
14 into excess, excess = 32

Answer 15

00101110

Question 16

EXCESS REPRESENTATION
45 into excess, excess = 6

Answer 16

00110011

Question 17

EXCESS REPRESENTATION
00101110 into denary with excess = 32

Answer 17

46 - 32
14

Question 18

EXCESS REPRESENTATION
00110011 into denary with excess = 6

Answer 18

51 = 6
45