user
What is the conversion of 354 from decimal to binary base?
alphonsio

The binary equivalent of 354 is : 0000 0001 0110 0010

(354)10=(0000 0001 0110 0010)2(354)_{10}=(0000~0001~0110~0010)_2


To convert the decimal number 354 to binary, we can repeatedly divide by 2 and keep track of the remainders. Here’s the process:

  1. 354 ÷ 2 = 177, remainder 0
  2. 177 ÷ 2 = 88, remainder 1
  3. 88 ÷ 2 = 44, remainder 0
  4. 44 ÷ 2 = 22, remainder 0
  5. 22 ÷ 2 = 11, remainder 0
  6. 11 ÷ 2 = 5, remainder 1
  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:

(354)10=(0000 0001 0110 0010)2(354)_{10} = (0000~0001~0110~0010)_2

So, the binary equivalent of 354 is : 0000 0001 0110 0010.