user
What is the conversion of 833 from decimal to binary base?
alphonsio

The binary equivalent of 833 is : 0000 0011 0100 0001

(833)10=(0000 0011 0100 0001)2(833)_{10}=(0000~0011~0100~0001)_2


To convert the decimal number 833 to binary, we can repeatedly divide by 2 and keep track of the remainders. Here’s the process:

  1. 833 ÷ 2 = 416, remainder 1
  2. 416 ÷ 2 = 208, remainder 0
  3. 208 ÷ 2 = 104, remainder 0
  4. 104 ÷ 2 = 52, remainder 0
  5. 52 ÷ 2 = 26, remainder 0
  6. 26 ÷ 2 = 13, remainder 0
  7. 13 ÷ 2 = 6, remainder 1
  8. 6 ÷ 2 = 3, remainder 0
  9. 3 ÷ 2 = 1, remainder 1
  10. 1 ÷ 2 = 0, remainder 1

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

(833)10=(0000 0011 0100 0001)2(833)_{10} = (0000~0011~0100~0001)_2

So, the binary equivalent of 833 is : 0000 0011 0100 0001.