Signed binary(1.4.1 c)

Question 1

Sign and magnitude

Answer 1

uses 0 to represent positive and 1 to represent negative
e.g -54 = 1011 0110

Question 2

What does the leading bit in sign and magnitude represent?

Answer 2

the sign while the remaining bits represent the absolute sign

Question 3

Sign and magnitude largest value

Answer 3

127 = 0111 1111

Question 4

Sign and magnitude smallest value

Answer 4

-127 = 1111 1111

Question 5

How many values are there in sign and magnitude?

Answer 5

254 values

Question 6

Sign and magnitude oddities

Answer 6

1000 0000 and 0000 0000 both represent zero but one is negative and the other is positive
where some values are lost

Question 7

Adding in sign and magnitude

Answer 7

doesn’t work properly
e.g -6 + 8 = -14
1000 0110 + 0000 1000 = 1000 1110

Question 8

Twos complement

Answer 8

take the standard column value for a binary number and make the most significant bit negative
128 64 32 16 8 4 2 1
-128 64 32 16 8 4 2 1

Question 9

Converting in twos complement

Answer 9

write the binary
flip the numbers
add 1
e.g. -27
27 = 0001 1011
flip = 1110 0100
add 1 = 0000 0001
-27 = 1110 0101

Question 10

Which is used twos complement or sign and magnitude?

Answer 10

twos complement
easier to implement binary adding circuit