Convert 101.625010 to (i) Binary (ii) Hexadecimal

      

Convert 101.625010 to (i) Binary (ii) Hexadecimal

  

Answers


John
(i) To convert to binary

Whole number part

101 $\div$ 2 = 50 rem 1

50 $\div$ 2 = 25 rem 0

25 $\div$ 2 = 12 rem 1

12 $\div$ 2 = 3 rem 0

6 $\div$ 2 = 3 rem 0

3 $\div$ 2 = 1 rem 1

1 $\div$ 2 = 0 rem 1

= 1100101 in base 2

Decimal part

0.6250 x 2 = 1.2500

0.25 x 2

0.5 x 2 = 1.0

= 101 to base 2

Answer is 1100101.1012

(ii) To convert to Hexadecimal

From part (i) above 0110, 0101.10102 = 65A16
johnmulu answered the question on September 29, 2017 at 09:01


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