# 03 - Binary to Decimal

1. Have a look at the worked example that converts a Binary number into Decimal. Is it True(Correct) or False(Incorrect)

TRUE

FALSE

2. Convert the following Binary number into Decimal.
```Binary Number: 0 0 0 0 1 0 0 1

128    64    32   16   8   4   2   1
0      0    0    0    1   0   0   1

=     ?```

9

5

6

3

3. Convert the given Binary number into Decimal.
```Binary Number: 0 0 0 0 0 0 0 1

128    64    32   16   8   4   2   1
0      0    0    0    0   0   0   1

=     ?```

1

0

100000

100

4. Convert the given Binary number into Decimal.
```Binary Number: 0 0 0 0 1 1 1 1

128    64    32   16   8   4   2   1
0      0    0    0    1   1   1   1

=     ?```

12

2

15

100

5. Convert the following Binary number into Decimal.
```Binary Number: 3 0 0 2 1 0 0 1

128    64    32   16   8   4   2   1
3      0    0    2    1   0   0   1

=     ?```

168

6

This is not a binary number so it cannot be done.

100001

6. 1000000000 is a Binary number. Can you use your knowledge of conversion of Binary to Decimal to suggest the answer - what is it in Decimal?

888

512

256

This is not a binary number as they only go up to 8 bits

7. Look at the following example showing the conversion from Binary to Decimal. Is it True(Correct) or False(Incorrect)?

TRUE

FALSE

8. What is the largest number that can be represented (in Decimal) using just 8 binary bits. For example: 11111111

There is no limit - a million or billion can be represented using 8 bits

8 bits can only represent 8

255, because 128 + 64 + 32 + 16 + 8 + 4 + 2 + 1 = 255

8 bits can represent 8 x 2 which is 16

9. Convert the following Binary number into Decimal (note that Decimal is sometimes referred to as Denary)
```Binary Number: 1 0 0 0 0 0 0 0

128    64    32   16   8   4   2   1
1      0    0    0    0   0   0   0

=     ?```

0

16

128

2

10. In the following table the binary answers are given in _______ bits.

4

3

2

5