Convert the following two signed decimal numbers into hexade

Convert the following two signed decimal numbers into hexadecimals. (a) 79.25_10 (b) -79.25_10

Solution

1 Ans)

a) 79.25=79 + 0.25

   79=4*16¹+15*16⁰= 4F (Hexa Decimal) 15 =F in hexadecimal

0.25=4*16^-1=0.4 (Hexa Decimal)

   79.25₁₀=4F.4₁₆   

-----------------------------------------------------

b) -79.25 it is negative number ,so lets represent it 2\'s compliment form

  79.25₁₀=4F.4₁₆ =0100 1111.0100₂-the last one is binary

Let\'s take 2\'s compliment by inverting each bit and add 1 to it

1011 0000.1011+1=1011 0001.1011₂ Converting this to Hexa Decimal

-79.25₁₀ = B1.B₁₆