Question

Convert 167 into binary and put your answer in a grid like the one shown below. Explain the process of conversion by showing your work.

You can use the table icon below (just under "B") to create the grid.

Answer 1

STEP 1:- We will divide 167 successively by 2 untill its quotient becomes 0.

167 2 = 83, remainder = 1

83 2 = 41, remainder = 1

41 2 = 20, remainder = 1

20 2 = 10, remainder = 0

10 2 = 5, remainder = 0

5 2 = 2, remainder = 1

2 2 = 1, remainder = 0

1 2 = 0, remainder = 1

STEP 2:- Now, we will write down the remainders from bottom to top, i.e., 10100111.

So, 10100111 is binary expression for 167.