Question

Convert the following numbers from decimal to hexadecimal (and for each, indicate how many bytes would be needed to store the value of that number):

10
15
16
256
250
358
1024
1023
8195

Answer 1

a) 10
Divide 10 successively by 16 until the quotient is 0
10/16 = 0, remainder is 10
Read remainders from the bottom to top as A
Answer: 0xA
Number of bytes required = 1

b) 15
Divide 15 successively by 16 until the quotient is 0
15/16 = 0, remainder is 15
Read remainders from the bottom to top as F
Answer: 0xF
Number of bytes required = 1

c) 16
Divide 16 successively by 16 until the quotient is 0
16/16 = 1, remainder is 0
1/16 = 0, remainder is 1
Read remainders from the bottom to top as 10
Answer: 0x10
Number of bytes required = 1

d) 256
Divide 256 successively by 16 until the quotient is 0
256/16 = 16, remainder is 0
16/16 = 1, remainder is 0
1/16 = 0, remainder is 1
Read remainders from the bottom to top as 100
Answer: 0x100
Number of bytes required = 2

e) 250
Divide 250 successively by 16 until the quotient is 0
250/16 = 15, remainder is 10
15/16 = 0, remainder is 15
Read remainders from the bottom to top as FA
Answer: 0xFA
Number of bytes required = 1

f) 358
Divide 358 successively by 16 until the quotient is 0
358/16 = 22, remainder is 6
22/16 = 1, remainder is 6
1/16 = 0, remainder is 1
Read remainders from the bottom to top as 166
Answer: 0x166
Number of bytes required = 2

g) 1024
Divide 1024 successively by 16 until the quotient is 0
1024/16 = 64, remainder is 0
64/16 = 4, remainder is 0
4/16 = 0, remainder is 4
Read remainders from the bottom to top as 400
Answer: 0x400
Number of bytes required = 2

h) 1023
Divide 1023 successively by 16 until the quotient is 0
1023/16 = 63, remainder is 15
63/16 = 3, remainder is 15
3/16 = 0, remainder is 3
Read remainders from the bottom to top as 3FF
Answer: 0x3FF
Number of bytes required = 2

i) 8195
Divide 8195 successively by 16 until the quotient is 0
8195/16 = 512, remainder is 3
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 2003
Answer: 0x2003
Number of bytes required = 2