Question

Convert the following numbers directed decimal 257.125 in to binary and hexadecimal

Answer 1

Answer:

(257.125)10 = (100000001.0010)2

(257.125)10 = (101.2)16

Explanation:

To convert decimal into binary when the number is greater than one,divide the number by 2 and kept the remainder,

(257)10= (100000001)2

For numbers less than 1,multiply that number by 2

0.125×2=0.250 before decimal point 0

0.250×2=0.500 before decimal point 0

0.500×2=1.00 before decimal point 1

0.00×2 =0.00 before decimal point 0

(.125)10 = (0010)2

Hence final conversion is;

(257.125)10 = (100000001.0010)2

tep2: Hexadecimal conversion

Make pair of 4 binary numbers

(0001 0000 0001 .0010 )2 = (101.2)16

just put the Hexadecimal code of that four-2 pairs