Given the following set of numbers, X ₁ = 2, X ₂ = 4, X ₃ = 6, X ₄ = 10 , what is the value of ( ΣX ) ² ? A) 480 B) 484 C) 156 D) 44

Question

Quizplus · Accepted Answer

- First, let's convert the given numbers to decimal form:

- X S1U1B11S1U1B0 = 2 → X 11001101  = 0xD1 = 209
- X S1U1B12S1U1B0 = 4 → X 11001110 = 0xCE = 206
- X S1U1B13S1U1B0 = 6 → X 11001111 = 0xCF = 207
- X S1U1B14S1U1B0 = 10 → X 11010000 = 0xD0 = 208

- Therefore, ΣX = 209 + 206 + 207 + 208 = 830 
- Now, let's convert 830 to binary:

- 830 = 1 1000011110

- We want to add the binary values of ( ΣX ) and 12:

- 1 1000011110 (830)
- 1 100 (12)
- -----------------
- 1 1000100110 = 0x4C6 = 1222

- Finally, we convert 1222 to binary and insert the S1U1P12S1S1P0 padding:

- 1222 = 10011000110 
- ( ΣX ) S1U1P12S1S1P0 = X 10011000 S1U1P S1S1P0 = X 98D000

- Therefore, the answer is B.

Given the Following Set of Numbers, X 1 = 2

Given the Following Set of Numbers, X ₁ = 2