# 04 - Decimal to Binary

1. Look at the question below and select the correct answer (a binary number) from the given options.

10101010

00000000

00010110

11111111

2. Converting a Decimal number into Binary just requires simple mathematics. You need to find the corresponding numbers that would add up to the Decimal number. Look at the following example. Is it True(Correct) or False?

False

True

3. What is 8 (decimal number) in Binary, represented in 4 bits.
```Represent the number 8 in Binary

8  4   2   1
_____________
?  ?   ?   ?```

1111

1000

0100

0000

4. Represent the number 6 in Binary (in four bits)
```Represent the number 6 in Binary

8  4   2   1
_____________
?  ?   ?   ?```

0110

1011

1001

0001

5. Represent the number 0 (in Decimal) in Binary (in four bits)
```Represent the number 0 in Binary

8  4   2   1
_____________
?  ?   ?   ?```

6. Represent the number 33 in Binary using eight bits
```Represent the number 33 in Binary

128  64   32  16  8  4   2   1
_______________________________
?    ?    ?   ?  ?  ?   ?   ?```

11001100

11000000

00100001

10101010

7. Represent the number 129 in Binary
```Represent the number 129 in Binary

128  64   32  16  8  4   2   1
_______________________________
?    ?    ?   ?  ?  ?   ?   ?```

100000111

000000001

10000001

111111111

8. How would you represent the number 2 billion in binary using eight bits?

It cannot be done in just eight bits

02billion

9. Convert 133 (Decimal) into a Binary number.

11121221

10001110

11111001

10000101

10. How would you represent 1 (Decimal) in Binary in just 1 bit?

1 in Binary using just 1 bit would be A

1 in Binary using just 1 bit would be 0

1 in Binary using just 1 bit would just be 1

This cannot be done