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Answer:
Hi!
The answer to:
a. 6 bits.
b. 9 bits.
c. 26 bits.
Explanation:
a. For the states of the U.S.A, you need 50 or more combinations to represents each element.
<u>If you use 6 bits, the possible combinations are 2⁶ = 64. </u>
b. For days in a year, you need 365 or more combinations to represents each element.
<u>If you use 9 bits, the possible combinations are 2⁹ = 512.
</u>
c. For inhabitants of California, you need 36,457,549 or more combinations to represents each element.
<u>If you use 26 bits, the possible combinations are 2²⁶ = 67,108,864.</u> If you use 25 bits instead of 26, then you have 2²⁵ = 33,554,432 combinations. These possible combinations are not enough to represent each inhabitant.
Hexadecimal numbers are just a convenient representation of binary data. When entered as text, they consist of ASCII characters 0-9 and a-f. The numbers will then have to be converted to binary. This is accomplished by converting to uppercase, subtracting the ASCII offset (48 for 0-9 or 55 for A-F), so that the result is a number between 0 and 15 (inclusive). This can be stored in computer memory to represent 4 bits.
Hexadecimal numbers represent binary numbers in the following way:
hex | binary
0 = 0000
1 = 0001
2 = 0010
3 = 0011
4 = 0100
5 = 0101
6 = 0110
7 = 0111
8 = 1000
9 = 1001
a = 1010
b = 1011
c = 1100
d = 1101
e = 1110
f = 1111
As you can see, no other 4 bit combination exists.
C is the corrected answer i think??????
