Westonci.ca is the premier destination for reliable answers to your questions, brought to you by a community of experts. Join our platform to connect with experts ready to provide detailed answers to your questions in various areas. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.
Sagot :
Let's solve the given question step by step:
We are given a function [tex]\( f(x) = (10 - x)_2 \)[/tex]. This notation indicates that [tex]\( 10 - x \)[/tex] is to be evaluated in base 2 (binary).
Step 1: Calculate [tex]\( f(6) \)[/tex]
First, substitute [tex]\( x = 6 \)[/tex] into the function:
[tex]\[ f(6) = (10 - 6)_2 \][/tex]
Subtract to get:
[tex]\[ 10 - 6 = 4 \][/tex]
So, we need to represent 4 in base 2 (binary). In binary, [tex]\( 4 \)[/tex] is written as [tex]\( 100_2 \)[/tex].
Hence, [tex]\( f(6) \)[/tex] evaluated in binary is 4 (but we keep it as a decimal here for simplicity).
So,
[tex]\[ p = f(6) = 4 \][/tex]
Step 2: Calculate [tex]\( 4p \)[/tex]
Now we need to find [tex]\( 4p \)[/tex]:
[tex]\[ 4p = 4 \times 4 \][/tex]
Multiply these values:
[tex]\[ 4 \times 4 = 16 \][/tex]
Finally, [tex]\( 4p \)[/tex] is:
[tex]\[ \boxed{16} \][/tex]
Therefore, [tex]\( 4p \)[/tex] is 16.
We are given a function [tex]\( f(x) = (10 - x)_2 \)[/tex]. This notation indicates that [tex]\( 10 - x \)[/tex] is to be evaluated in base 2 (binary).
Step 1: Calculate [tex]\( f(6) \)[/tex]
First, substitute [tex]\( x = 6 \)[/tex] into the function:
[tex]\[ f(6) = (10 - 6)_2 \][/tex]
Subtract to get:
[tex]\[ 10 - 6 = 4 \][/tex]
So, we need to represent 4 in base 2 (binary). In binary, [tex]\( 4 \)[/tex] is written as [tex]\( 100_2 \)[/tex].
Hence, [tex]\( f(6) \)[/tex] evaluated in binary is 4 (but we keep it as a decimal here for simplicity).
So,
[tex]\[ p = f(6) = 4 \][/tex]
Step 2: Calculate [tex]\( 4p \)[/tex]
Now we need to find [tex]\( 4p \)[/tex]:
[tex]\[ 4p = 4 \times 4 \][/tex]
Multiply these values:
[tex]\[ 4 \times 4 = 16 \][/tex]
Finally, [tex]\( 4p \)[/tex] is:
[tex]\[ \boxed{16} \][/tex]
Therefore, [tex]\( 4p \)[/tex] is 16.
We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.