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. 35 10 29 10 50 10 10 10 16 10

Decimal to binary number

  • 1.
    Decimal to BinaryNumber Conversion MS. Douglas, Bsc
  • 2.
    Revision Binary numbersonly 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
  • 3.
    Decimal to BinaryConversion 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
  • 4.
    Convert decimal number20 10 to a binary number. Decimal to Binary Conversion
  • 5.
    Convert decimal number25 10 to a binary number. Decimal to Binary Conversion
  • 6.
    Binary Arithmetic OperationsBinary numbers can be Added Subtracted Multiplied Divided To carry out any of the binary arithmetic operations the rules must be followed
  • 7.
    The Rules Additionrules Subtraction rules Multiplication rules Division rules
  • 8.
    Home Work Convertthe following decimal numbers to binary numbers. 35 10 29 10 50 10 10 10 16 10