Question

convert AB3E. 870 16 into binary number system
step by step​

Answer 1

Answer:

$(870)_{10}$ = $(1101100110)_{2}$

Explanation:

Step 1: Divide (870)10 successively by 2 until the quotient is 0:

870/2 = 435, remainder is 0

435/2 = 217, remainder is 1

217/2 = 108, remainder is 1

108/2 = 54, remainder is 0

54/2 = 27, remainder is 0

27/2 = 13, remainder is 1

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 1101100110.

So, 1101100110 is the binary equivalent of decimal number 870 (Answer).