Wednesday 27 February 2013

22:29 -

Convert A) Decimal to Binary (i) 5¾ (ii) 20


(i) 5¾ =101.11
                        5 / 2 = 2 + remainder of 1
                        2 / 2 = 1 + remainder of 0
                        1 / 2 = 0 + remainder of 1
            Binary presentation of 5 (read from down to up) = 101
                        ¾ = 0.75 (Decimal representation)
                        0.75 -1 x 2-1 = 0.75 – 0.5=0.25
                        0.25 – 1x 2-2 = 0.25 – 0.25 = 0
            Binary presentation of ¾  = 0.11
            Binary presentation of 5¾  (or 5.75)=101.11


         (ii) 20 =10100
                        20 / 2 =10 + remainder of 0
                        10 / 2 = 5 + remainder of 0
                        5 / 2 = 2 + remainder of 1
                        2 / 2 = 1 + remainder of 0
                        1 / 2 = 0 + remainder of 1
            Binary presentation of 20 (read from down to up) = 10100