Answer to Question #311795 in Discrete Mathematics for tia

Question

1.  Convert the following to their binary equivalence:

635₈

FAB5₁₆

Answer 1

Solution (1)

For the number (635)₈

There are three digits 6, 3 and 5.

We convert these three digits to their binary equivalent as

Hence

(6)₈ = (110)₂                    and                  (3)₈ = (011)₂               and         (5)₈ = (101)₂      

Therefore,

(635)₈ = (110011101)₂

Solution (2)

For the number (FAB5)₁₆

There are three digits F, A, B and 5.

We convert these four digits to their binary equivalent as

Hence

(F)₁₆ = (1111)₂ and (A)₁₆ = (1010)₂ and (B)₁₆ = (1011)₂ and (5)₁₆ = (0101)₂

Therefore,

(FAB5)₁₆ = (1111101010110101)₂