Decimal to Binary Number
Conversion
MS. Douglas, Bsc
Revision
Binary numbers only have 2 digits and are
written in base 2
Example; 110
2
Decimal numbers have 10 digits and are
written in base 10
Example 110
10
MSB and LSB
10110
LSB MSB
Decimal to Binary Conversion
Method: Repeated division by 2 to convert
numbers from decimal to binary.
Convert decimal number 13
10
to a binary
number:
13/ 2 = 6 Reminder 1
6/ 2 = 3 Reminder 0
3/2 = 1 Reminder 1
1/ 2 = 0 Reminder 1
1101
2
13
10 is equal to 1101
2
MSB
LSB
Convert decimal number 20
10 to a
binary number.
Decimal to Binary Conversion
Convert decimal number 25
10
to a
binary number.
Decimal to Binary Conversion
Binary Arithmetic Operations
Binary numbers can be
Added
Subtracted
Multiplied
Divided
To carry out any of the binary arithmetic
operations the rules must be followed
The Rules
Addition rules
Subtraction rules
Multiplication rules
Division rules
Home Work
Convert the following decimal numbers to
binary numbers.
l35
10
l29
10
l50
10
l10
10
l16
10