Question

Use the place value method, the division method, or the equivalency chart to convert the following. You must show all steps.

Convert the following decimal numbers to the hexadecimal number system. a. 7 b. 32 c. 55 d. 254 e. 512

Answer 1

a) 7
Divide 7 successively by 16 until the quotient is 0
7/16 = 0, remainder is 7
Read remainders from the bottom to top as 7
Answer: 7

b) 32
Divide 32 successively by 16 until the quotient is 0
32/16 = 2, remainder is 0
2/16 = 0, remainder is 2
Read remainders from the bottom to top as 20
Answer: 20

c) 55
Divide 55 successively by 16 until the quotient is 0
55/16 = 3, remainder is 7
3/16 = 0, remainder is 3
Read remainders from the bottom to top as 37
Answer: 37

d) 254
Divide 254 successively by 16 until the quotient is 0
254/16 = 15, remainder is 14
15/16 = 0, remainder is 15
Read remainders from the bottom to top as FE
Answer: FE

e) 512
Divide 512 successively by 16 until the quotient is 0
512/16 = 32, remainder is 0
32/16 = 2, remainder is 0
2/16 = 0, remainder is 2
Read remainders from the bottom to top as 200
Answer: 200