Use the product, quotient, and power rules of logarithms to rewrite the expression as a single logarithm. Assume that all variab
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We want to find 150% of 3000. since 150% is greater than 100%, it is expected that 150% 0f 3000 will also be greater than 3000.
Therefore, 150% of 3000 is equal to 4500.
Answer:
a) 3₁₀
b) 6₁₀
c) 7₁₀
f) 19₁₀
i) 181₁₀
Step-by-step explanation:
<u>Binary to Decimal Conversion (Positional Notation Method)</u>
- Multiply each digit by the base (2) raised to the power dependent upon the position of that digit in the binary number.
- Sum all the values obtained for each digit.
- Express the number as a decimal number by placing subscript 10 after it.
For a binary number with 'n' digits:
- The right-most digit is multiplied by 2⁰
- The left-most digit is multiplied by
For example, to convert the binary number 111001₂ into a decimal:
Multiply each digit by the base (2) raised to the power as indicated above and sum them:
Finally, express as a decimal number ⇒ 111001₂ = 57₁₀
<u>Question (a)</u>
Therefore, 11₂ = 3₁₀
<u>Question (b)</u>
Therefore, 110₂ = 6₁₀
<u>Question (c)</u>
Therefore, 111₂ = 7₁₀
<u>Question (f)</u>
Therefore, 10011₂ = 19₁₀
<u>Question (i)</u>
Therefore, 10110101₂ = 181₁₀