user
What is the conversion of 349 from decimal to binary base?
alphonsio

The binary equivalent of 349 is : 0000 0001 0101 1101

(349)10=(0000 0001 0101 1101)2(349)_{10}=(0000~0001~0101~1101)_2


To convert the decimal number 349 to binary, we can repeatedly divide by 2 and keep track of the remainders. Here’s the process:

  1. $ 349 ÷ 2 = 174, remainder 1
  2. $ 174 ÷ 2 = 87, remainder 0
  3. $ 87 ÷ 2 = 43, remainder 1
  4. $ 43 ÷ 2 = 21, remainder 1
  5. $ 21 ÷ 2 = 10, remainder 1
  6. $ 10 ÷ 2 = 5, remainder 0
  7. $ 5 ÷ 2 = 2, remainder 1
  8. $ 2 ÷ 2 = 1, remainder 0
  9. $ 1 ÷ 2 = 0, remainder 1

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

(349)10=(0000 0001 0101 1101)2(349)_{10} = (0000~0001~0101~1101)_2

So, the binary equivalent of 349 is : 0000 0001 0101 1101.