decimal to binary number

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Decimal to Binary Number Conversion MS. Douglas, Bsc

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Page 1: Decimal to binary number

Decimal to Binary Number Conversion

MS. Douglas, Bsc

Page 2: Decimal to binary number

Revision

Binary numbers only have 2 digits and are written in base 2

Example; 1102

Decimal numbers have 10 digits and are written in base 10

Example 11010

MSB and LSB

10110 LSBMSB

Page 3: Decimal to binary number

Decimal to Binary Conversion

Method: Repeated division by 2 to convert numbers from decimal to binary.

Convert decimal number 1310 to a binary number:13/ 2 = 6 Reminder 16/ 2 = 3 Reminder 03/2 = 1 Reminder 11/ 2 = 0 Reminder 1

11012

1310 is equal to 11012

MSB

LSB

Page 4: Decimal to binary number

Convert decimal number 2010 to a binary number.

Decimal to Binary Conversion

Page 5: Decimal to binary number

Convert decimal number 2510 to a binary number.

Decimal to Binary Conversion

Page 6: Decimal to binary number

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

Page 7: Decimal to binary number

The Rules

Addition rules

Subtraction rules

Multiplication rules

Division rules

Page 8: Decimal to binary number

Home Work

Convert the following decimal numbers to binary numbers.

1. 3510

2. 2910

3. 5010

4. 1010

5. 1610