U26 Q3 Arithmetic Operations With Different Base Numbers

What is happening when we use addition with two sets?

• The count of one set is counted for each of the count of the other set
• A count is taken of both sets' elements as if the elements were a count of one "super" set
• The count of one set is compared to the count of the other set and the product is the difference between them
• The number of times the count of one set can be counted within the count of the other set is produced as the product

What is the "Multiplicand" 

• A number in a multiplication, which isn't the product
• The product of a multiplication
• A number used in a subtraction, the Multiplicand is the number being "taken away"
• The product of an "NOR" operation

Which of these do we not need to complete Binary, Hex and Octal math?

• The ability to count to 16
• The ability to add up to 3 single digit numbers together 
• To remember to write down some answers
• A high powered, fusion driven, quantum super-state collapsing, A.I. controlled, axiomatically calibrated decision computing, quad-dimensional calculator

What could be the problem with the sum;
"11 + 7 = 18"

• If the sum is in HEX, the answer is wrong.
• If the sum was in OCT, the answer is wrong.
• If the sum was in Binary, the answer is correct
• If the sum is in HEX, the answer should have a letter in it

We can always "add one to the next column" when carrying out addition in any number system, why is this?

• Any column is an order of magnitude greater that the previous column.
• This only works for the number systems we have looked at.
• Columns have magic properties that bend the laws of logic.
• Order of magnitude allows any number to represent 10 more that the previous column in any number system. 

In base 2 what is 
"1001 + 0110" 

• 10000
• 0111
• 1111
• 2020

In base 8 what would 
" 26 + 14 " be?

• 40
• 42
• 48
• 43

In base 16 what would 
" 1A + 0F " be?

• 29
• 3F
• 24
• 3C

In base 2 what would the product be from 
" 101 * 0011 " be?

• 00101
• 11100
• 01111
• 10000

In what would this sum total to?
" 18₁₆ + 00100110₂ " 

• 1F₁₆
• 01011011₂
• 00111110₂
• 9001₁₀