Signed Integers

Click here to view a tutorial that helps to clarify the representation of signed integers using two's complement notation. Click here to view the answers.

1. Write each of the following signed decimal integers in 8-bit binary notation:

If any number cannot be represented as a signed 8-bit binary number, indicate this in your answer.

a.

-2

e.

+15

b.

-7

f.

-1

c.

-128

g.

-56

d.

-16

h.

+127

2. Write each of the following 8-bit signed binary integers in decimal:

a.

11111111

g.

00001111

b.

11110000

h.

10101111

c.

10000000

i.

11111100

d.

10000001

j.

01010101

3. Which of the following integers are valid 16-bit signed decimal integers?

(indicate V=valid, I=invalid)

a.

+32469

d.

+32785

b.

+32767

e.

-32785

c.

-32768

f.

+65535

4. Indicate the sign of each of the following 16-bit hexadecimal integers:

(indicate P=positive, N=negative)

a.

7FB9h

c.

0D000h

b.

8123h

d.

649Fh

5. Write each of the following signed decimal integers as a 16-bit hexadecimal value:

a.

-42

e.

-32768

b.

-127

f.

-1

c.

-4096

g.

-8193

d.

-16

h.

-256