How many unique values can be expressed with a 1 digit binary number (express yo

Question

How many unique values can be expressed with a 1 digit binary number (express your answer in both exponential and non-exponential base 10) (2 pts)? What are the lowest and highest values (in base 10) (1 pt)? How many unique values can be expressed with a 2 digit binary number (express your answer in both exponential and non-exponential base 10) (2 pts)? What are the lowest and highest values (in base 10) (1 pt)? How many unique values can be expressed with a 3 digit binary number (express your answer in both exponential and non-exponential base 10) (2 pts)? What are the lowest and highest values (in base 10) (1 pt)? How many unique values can be expressed with a 4 digit binary number (express your answer in both exponential and non-exponential base 10) (2 pts)? What are the lowest and highest values (in base 10) (1 pt)? How many unique values can be expressed with a 5 digit binary number (express your answer in both exponential and non-exponential base 10) (2 pts)? What are the lowest and highest values (in base 10)

Explanation / Answer

How many unique values can be expressed with a 1 digit binary number (express your answer in both exponential and non-exponential base 10) (2 pts)?
What are the lowest and highest values (in base 10) (1 pt)?

Answer:
Using 1 binary digit, 2^1 = 2 unique values can be represented. The values are 0 and 1
The lowest is 0 and the highest is (2^1)-1 = 2 - 1 = 1

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How many unique values can be expressed with a 2 digit binary number (express your answer in both exponential and non-exponential base 10) (2 pts)?
What are the lowest and highest values (in base 10) (1 pt)?
Answer:
Using 2 binary digits, 2^2 = 4 unique values can be represented. The 4 values are in the range starting from lowest to highest (0-3)
The lowest is 0 and the highest is (2^2)-1 = 4 - 1 = 3

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How many unique values can be expressed with a 3 digit binary number (express your answer in both exponential and non-exponential base 10) (2 pts)?
What are the lowest and highest values (in base 10) (1 pt)?

Answer:
Using 3 binary digits, 2^3 = 8 unique values can be represented. The 8 values are in the range starting from lowest to highest (0-7)
The lowest is 0 and the highest is (2^3)-1 = 8 - 1 = 7

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How many unique values can be expressed with a 4 digit binary number (express your answer in both exponential and non-exponential base 10) (2 pts)?
What are the lowest and highest values (in base 10) (1 pt)?

Answer:
Using 4 binary digits, 2^4 = 16 unique values can be represented. The 16 values are in the range starting from lowest to highest (0-15)
The lowest is 0 and the highest is (2^4)-1 = 16 - 1 = 15

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How many unique values can be expressed with a 5 digit binary number (express your answer in both exponential and non-exponential base 10) (2 pts)?
What are the lowest and highest values (in base 10)

Answer:
Using 5 binary digits, 2^5 = 32 unique values can be represented. The 32 values are in the range starting from lowest to highest (0-31)
The lowest is 0 and the highest is (2^5)-1 = 32 - 1 = 31

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