346 chapter 2

8

How many bits does a byte have?

16

How many bits does a half-word have?

32

How many bits does a word have?

64

How many bits does a double-word have?

1. adding two positive numbers but getting a non-positive result

2. adding two negative numbers but yielding a non-negative result

When adding signed numbers represented in two’s complement, overflow occurs only in two scenarios:

1. subtracting a positive number from a negative number but getting a positive result

2. subtracting a negative number from a positive number but producing a negative resul

when subtracting signed numbers, overflow occurs in two scenarios

different

Overflow cannot occur when adding operands with ______ signs

same

Overflow cannot occur when subtracting operands with the ____ signs

0 MSB = positive
1 MSB = negative

Signed magnitude representation

Positive: normal representation
Negative: invert all bits of a positive

One’s complement representation

invert all bits, then plus 1

Two’s Complement representation

No, No, Yes

No, Yes, No

Yes, No, Yes

Yes, Yes, No