Question

(416)2=(__________)2 convert the flowing in binary code​

Answer 1

The anser is (110100000)2.

METHORD:

Step 1: Divide (416)10 successively by 2 until the quotient is 0:

416/2 = 208, remainder is 0

208/2 = 104, remainder is 0

104/2 = 52, remainder is 0

52/2 = 26, remainder is 0

26/2 = 13, remainder is 0

13/2 = 6, remainder is 1

6/2 = 3, remainder is 0

3/2 = 1, remainder is 1

1/2 = 0, remainder is 1

Step 2: Read from the bottom (MSB) to top (LSB) as 110100000. This is the binary equivalent of decimal number 416 .

Hope it helps :)