Tugas 2 Mata Kuliah Pengantar Sistem Komputer (PSK)

       I.            Convert each of the following binary representations to its equivalent base ten form:

a.       101010

= (0x2⁰) + (1x2¹) + (0x2²) + (1x2³) + (0x2⁴) + (1x2⁵)

= (0) + (2) + (0) + (8) + (0) + (32)

= 42

101010₂ = 42₁₀

b.      100001

= (1x2⁰) + (0x2¹) + (0x2²) + (0x2³) + (0x2⁴) + (1x2⁵)

= (1) + (0) + (0) + (0) + (0) + (32)

= 33

100001₂ = 33₁₀

c.       10111

= (1x2⁰) + (1x2¹) + (1x2²) + (0x2³) + (1x2⁴)

= (1) + (2) + (4) + (0) + (16)

= 23

10111₂ = 23₁₀

d.      0110

= (0x2⁰) + (1x2¹) + (1x2²) + (0x2³)

= (0) + (2) + (4) + (0)

= 6

0110₂ = 6₁₀

e.       11111

= (1x2⁰) + (1x2¹) + (1x2²) + (1x2³) + (1x2⁴)

= (1) + (2) + (4) + (8) + (16)

= 31

11111₂ = 31₁₀

    II.            Convert each of the following base ten representations to its equivalent binary form:

a.       32

32/2=16           (0)

16/2=8             (0)

8/2=4               (0)

4/2=2               (0)

2/2=1               (0)

1/2=0               (1)

32₁₀ = 100000­₂

b.      64

64/2=32           (0)

32/2=16           (0)

16/2=8             (0)

8/2=4               (0)

4/2=2               (0)

2/2=1               (0)

1/2=0               (1)

64₁₀ = 1000000­₂

c.       96

96/2=48           (0)

48/2=24           (0)

24/2=12           (0)

12/2=6             (0)

6/2=3               (0)

3/2=1               (1)

1/2=0               (1)

96₁₀ = 1100000­₂

d.      15

15/2=7             (1)

7/2=3               (1)

3/2=1               (1)

1/2=1               (1)

15₁₀ = 1111­₂

e.       27

27/2=13           (1)

13/2=6             (1)

6/2=3               (0)

3/2=1               (1)

1/2=0               (1)

96₁₀ = 11011­₂

 III.            Perform the following additions in binary notation:

a.         11011

    1100 +

100111

b.      1010.001

      1.101 +

1011.110

c.         11111

    0001 +

100000

d.        111.11

    00.01 +

1000.00