Answer:
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Step-by-step explanation:
David bought a computer that was 25% off the regular price of $1,080. If an8% sales tax was added to the Cost of the computer wh
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Answer:
a) 101010 as a base 2 number is the same as 42 in base 10 and 2A in base 16
b) 42 as a base 10 number is same as 101010 in bases 2 and 2A in base 16
c) 2A as a base 16 number is same as 101010 in base 2 and 42 in base 10
Step-by-step explanation:
a) When interpreting 101010 as a base 2 number, convert to bases 10 and 16;
First convert 101010 from base 2 to base 10
We number the digit from the rightmost digit starting from 0 and we have the following index:
1 = 5, 0 = 4, 1 = 3, 0 = 2, 1 = 1, 0 = 0
The we expand in the power of the index to base 2
Then convert to base 16: divide base 10 by 16
42 ÷ 16 = 2 remainder 10(A)
2 ÷ 16 = 0 remainder 2
Reading the remainder bottom-up; we have 2A. 10 is represented as A in Base 16.
b) When interpreting 101010 as a base 10 number, convert to bases 2 and 16;
101010 in base 10 = 42
Converting to base 2
42 ÷ 2 = 21 remainder 0
21 ÷ 2 = 10 remainder 1
10 ÷ 2 = 5 remainder 0
5 ÷ 2 = 2 remainder 1
2 ÷ 2 = 1 remainder 0
1 ÷ 2 = 0 remainder 1
Reading the remainder bottom-up; we have 101010 in base 2
Then convert to base 16: divide base 10 by 16
42 ÷ 16 = 2 remainder 10(A)
2 ÷ 16 = 0 remainder 2
Reading the remainder bottom-up; we have 2A. 10 is represented as A in Base 16.
c) When interpreting 101010 as a base 16 number, convert to bases 2 and 10
Converting from base 16 to base 10; we expand in the power of the index:
Converting to base 2
42 ÷ 2 = 21 remainder 0
21 ÷ 2 = 10 remainder 1
10 ÷ 2 = 5 remainder 0
5 ÷ 2 = 2 remainder 1
2 ÷ 2 = 1 remainder 0
1 ÷ 2 = 0 remainder 1
Reading the remainder bottom-up; we have 101010 in base 2
Answer:
The equation that represents this situation is x + 3x + (x - 4) + 2(x - 4) = 72, where x is Erik's age
Step-by-step explanation:
Let us solve the question
Assume that Erik is x years old
∵ Erik is x years old
∵ Erik is as old as Dawn
→ That means x = Dawn
∴ x = Dawn
→ Multiply both sides by 3
∴ 3x = Dawn
∴ Dawn is 3x years old
∵ Jiro is 4 years younger than Erik
→ That means Jiro = x - 4
∴ Jiro is (x - 4) years old
∵ Alita is 2 times as old as Jiro
→ That means Alita = 2 × (x - 4)
∴ Alita = 2 × (x - 4)
∴ Alita is 2(x - 4) years old
∵ The sum of all their ages is 72
→ That means add their ages and equate the sum by 72
∴ Erike's age + Dawn's age + Jiro's age + Alita's age = 72
∴ x + 3x + (x - 4) + 2(x - 4) = 72
The equation that represents this situation is x + 3x + (x - 4) + 2(x - 4) = 72, where x is Erik's age