Denary to binary

Question 1

How do you convert denary to binary?

Answer 1

Once you have your denary number, ask yourself, can you take 128 away from you number without going negative. If the answer is yes, put a 1 and take away the 128, if not, move on to the next number and try again.

Question 2

128 is a denary number, convert it to binary

Answer 2

10000000, this is because you do 128-128 which leaves you with 0, so you put a 1 in the 128 column. Because we now have a 0, we are not able to take away any other numbers and therefore putting a 0 in every other column.

Question 3

170 is a denary number, convert it to binary

Answer 3

10101010, this is because you do 170-128 which is 42 so you put a 1 in the 128 column. You cant take 64 from 42 so you put a 0 in the 64 column. You can do 42-32 so you put a 1 in the 32 column and your left with 10. You carry on until you get 0 left

Question 4

110 is a denary number, convert it to binary

Answer 4

01101111, this is because we cant do 110-128 so we put a 0. We can do 110-64 so we put a 1 in the 64 column and we are left with 110-64 which is 46. Carry on until we are left with 0

Question 5

39 is a denary number, convert it to binary

Answer 5

00100111