user
What is the conversion of 28 from decimal to binary base?
alphonsio

The binary equivalent of 28 is : 0001 1100

(28)10=(0001 1100)2(28)_{10}=(0001~1100)_2


To convert the decimal number 28 to binary, we can repeatedly divide by 2 and keep track of the remainders. Here’s the process:

  1. 28 ÷ 2 = 14, remainder 0
  2. 14 ÷ 2 = 7, remainder 0
  3. 7 ÷ 2 = 3, remainder 1
  4. 3 ÷ 2 = 1, remainder 1
  5. 1 ÷ 2 = 0, remainder 1

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

(28)10=(0001 1100)2(28)_{10} = (0001~1100)_2

So, the binary equivalent of 28 is : 0001 1100.