Mathematics For Computer Science - Converting a base 10 to a base 2 or base 16 number

Converting a base 10 to a base 2 or base 16 number
Using division, you can convert a base 10 (decimal) to both base 2 (binary) and base
16 (hexadecimal).

Convert 29₁₀ to base 2 (binary).

​■ Divide the number by the base you want it in until you get 0.
■ You want base 2 so you divide by 2.
Step 1: divide the number by 2.
29 ÷ 2 = 14 r 1
Step 2: take the quotient (the result) and divide it by 2.
14 ÷ 2 = 7 r 0
Step 3: repeat this process until you have 0 — quotient divided by 2.
7 ÷ 2 = 3 r 1
Still not 0? Repeat — quotient divided by 2.
3 ÷ 2 = 1 r 1
Still not 0? Repeat — quotient divided by 2.
1 ÷ 2 = 0 r 1
​Make sure you write your remainder, as this will be used to make the answer.
Step 4: now you have 0, write all the remainders from the last to the first; 11101.

convert 100₁₀ to binary (base 2)

Step 1: divide 100 by 2.
100 ÷ 2 = 50 r 0
Step 2: divide the quotient by 2.
50 ÷ 2 = 25 r 0
Step 3: repeat until you have 0.
25 ÷ 2 = 12 r 1
12 ÷ 2 = 6 r 0
6 ÷ 2 = 3 r 0
3 ÷ 2 = 1 r 1
1 ÷ 2 = 0 r 1
Continue dividing by 2 until you have 0.
Step 4: write all the remainders, from the last to the first, 1100100.

Convert 29₁₀ to base 16 ( hexadecimal)

Step 1: divide the number by 16.
29 ÷ 16 = 1 r 13
Step 2: divide the quotient by 16.
1 ÷ 16 = 0 r 1
​Step 3: repeat until you have 0.
Step 4: write the remainders, from the last to first; 1 13.
Step 5: check for numbers over 9. You can’t use the
number 13 in hexadecimal. You need to replace it with
the appropriate letter, D
1 13 becomes 1D

Convert 100₁₀ to base 16 ( hexadecimal)

​Step 1: divide the number by 16.
100 ÷ 16 = 6 r 4
Step 2: divide the quotient by 16.
6 ÷ 16 = 0 r 6
Step 3: repeat until you have 0.
Step 4: write the remainders, from last to first, 64.
Step 5: check for numbers over 9. There are none.