2.6 Converting from denary to binary

Question 1

steps to convert from denary to binary

Answer 1

• write out the binary place values up to 255
• find the maximum value that fits into the number
• place a 1 in that column
• subtract the place value from the number
• repeat until the whole number is represented
• place 0s in the columns without 1s

Question 2

How can you check your answer?

Answer 2

by converting back to denary

Question 3

Convert the denary number 217 into an 8 bit binary number [1]

Answer 3

11011001

Question 4

Convert the following denary numbers into 8 bit binary numbers:

a) 203
b) 241
c) 79
d) 100

Answer 4

a) 11001011
b) 11110001
c) 01001111
d) 01100100