2.2 Decimal-To-Binary Conversion

 

There are 2 methods:

 (A) Reverse of Binary-To-Digital Method

45 10

= 32 + 0 + 8 + 4 +0 + 1

 

= 25+0+23+22+0+20

 

= 1 0 1 1 0 12

 

   (B) Repeat Division
This method uses repeated division by 2. Eg. convert 2510 to binary

25/ 2

= 12+ remainder of 1

1 (Least Significant Bit)

12/ 2

= 6 + remainder of 0

0

6 / 2

= 3 + remainder of 0

0

3 / 2

= 1 + remainder of 1

1

1 / 2

= 0 + remainder of 1

1 (Most Significant Bit)

Result

2510 =

1 1 0 0 12

The Flow chart for repeated-division method is as follow:          

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