user
What is the conversion of 1326 from decimal to binary base?
alphonsio

The binary equivalent of 1326 is : 0000 0101 0010 1110

(1326)10=(0000 0101 0010 1110)2(1326)_{10}=(0000~0101~0010~1110)_2


To convert the decimal number 1326 to binary, we can repeatedly divide by 2 and keep track of the remainders. Here’s the process:

  1. 1326 ÷ 2 = 663, remainder 0
  2. 663 ÷ 2 = 331, remainder 1
  3. 331 ÷ 2 = 165, remainder 1
  4. 165 ÷ 2 = 82, remainder 1
  5. 82 ÷ 2 = 41, remainder 0
  6. 41 ÷ 2 = 20, remainder 1
  7. 20 ÷ 2 = 10, remainder 0
  8. 10 ÷ 2 = 5, remainder 0
  9. 5 ÷ 2 = 2, remainder 1
  10. 2 ÷ 2 = 1, remainder 0
  11. 1 ÷ 2 = 0, remainder 1

Now, reading the remainders from the bottom up, we get:

(1326)10=(0000 0101 0010 1110)2(1326)_{10} = (0000~0101~0010~1110)_2

So, the binary equivalent of 1326 is : 0000 0101 0010 1110.