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What is the conversion of 1236 from decimal to binary base?
alphonsio

The binary equivalent of 1236 is : 0000 0100 1101 0100

(1236)10=(0000 0100 1101 0100)2(1236)_{10}=(0000~0100~1101~0100)_2


To convert the decimal number 1236 to binary, we can repeatedly divide by 2 and keep track of the remainders. Here’s the process:

  1. 1236 ÷ 2 = 618, remainder 0
  2. 618 ÷ 2 = 309, remainder 0
  3. 309 ÷ 2 = 154, remainder 1
  4. 154 ÷ 2 = 77, remainder 0
  5. 77 ÷ 2 = 38, remainder 1
  6. 38 ÷ 2 = 19, remainder 0
  7. 19 ÷ 2 = 9, remainder 1
  8. 9 ÷ 2 = 4, remainder 1
  9. 4 ÷ 2 = 2, remainder 0
  10. 2 ÷ 2 = 1, remainder 0
  11. 1 ÷ 2 = 0, remainder 1

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

(1236)10=(0000 0100 1101 0100)2(1236)_{10} = (0000~0100~1101~0100)_2

So, the binary equivalent of 1236 is : 0000 0100 1101 0100.