Question

convert the following numbers are directed decimal 198.25 into binary and hexadecimal

Answer 1

In a decimal system each digit has a value ten times greater than its previous number and this decimal numbering system uses a set of symbols, b, together with a base, q, to determine the weight of each digit within a number. For example, the six in sixty has a lower weighting than the six in six hundred. Then in a binary numbering system we need some way of converting Decimal to Binary as well as back from Binary to Decimal.

Any numbering system can be summarised by the following relationship:

N = bi qi

where: N is a real positive number

b is the digit

q is the base value

and integer (i) can be positive, negative or zero

Answer 2

This is the conversion to binary