# 22 - Sign and Magnitude

1. There are many schemes for ______________________________. One scheme is sign-magnitude

representing negative integers using ASCII

representing negative integers with patterns of bits

representing positive integers using bytes

representing negative bits using integer patterns

2. Sign and Magnitude uses one bit (usually the leftmost) to indicate the sign. "0" indicates a ____ integer, and "1" indicates a _______ integer.

integer divisible by 0 / integer divisible by 1

positive / negative

negative / positive

0 integer / 1 integer

3. The sign bit is used up and the rest of the bits are used for the _______________ of the number.

magnitude

negative part

integer part

shape

4. Using an 8 bit sign and magnitude number, the leftmost bit is used for the sign, which leaves 1 bit for the magnitude

FALSE

TRUE

5. In S&M, one pattern corresponds to "minus zero", 1000 0000. Another corresponds to "plus zero", 0000 0000

TRUE

FALSE

6. For signed binary numbers the_____________________ is used as the sign bit.

end most bit (EMB)

final bit (FB)

first most bit (FMB)

most significant bit (MSB)

7. One of the advantages of sign and magnitude is that we have an increased range (due to the sign bit which is used)

TRUE

FALSE

8. 10001001 in S&M could represent:

positive 8

minus 8

minus 9

positive 9

9. minus 2 would be represented in S&M in the following way:

-1111

-101

1010

-1110

10. The following number would be _______ (it is in S&M representation)
`1	1	0	0	1	0	1	0`

positive 128

positive 74

minus 74

minus 120

11. In sign and magnitude, the following binary number - 010100000 - is:

positive

both positive and negative

Neither positive or negative

negative

12. In the following illustration, if the MSB was changed to '1', what would the number be? positive 54

negative 53

positive 52

It would not be possible, as a 1 would corrupt the sequence

13. The range of an 8-bit sign-magnitude integer is -128 to +128

TRUE

FALSE

14. There are different sign-magnitude representations for +0 and -0

FALSE

TRUE

15. Adding the negative of a number is not the same as subtraction in sign-magnitude. Different operations must be defined for addition and subtraction with sign-magnitude numbers

FALSE

TRUE