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- arithmetic - How to divide using addition or subtraction - Mathematics . . .
We can multiply $a$ and $n$ by adding $a$ a total of $n$ times $$ n \\times a = a + a + a + \\cdots +a$$ Can we define division similarly using only addition or
- Newest modular-arithmetic Questions - Mathematics Stack Exchange
Modular arithmetic (clock arithmetic) is a system of integer arithmetic based on the congruence relation $a \equiv b \pmod {n}$ which means that $n$ divides $a-b$
- arithmetic - What are the formal names of operands and results for . . .
I'm trying to mentally summarize the names of the operands for basic operations I've got this so far: Addition: Augend + Addend = Sum Subtraction: Minuend - Subtrahend = Difference Multiplicati
- arithmetic - How to determine if a binary addition subtraction has an . . .
There are two differing conventions on how to handle carry-in out for subtraction Intel x86 and M68k use a carry-in as "borrow" (1 means subtract 1 more) and adapt their carry-out to mean the same, whereas PowerPC just adds the bitwise-inverted subtrahend plus the carry-in, which inverses the meaning, but is more consistent with the scheme for addition What convention do you use?
- arithmetic - Order of precedence, multiplication vs. division . . .
Recently I had this doubt about the order of precedence of mathematical operations multiplication and division Given that we have a simple question like this 80 10 * 5 without parenthesis, what
- arithmetic - Daily exercises to speed up my mental calculations . . .
Explore related questions arithmetic big-list mental-arithmetic See similar questions with these tags
- arithmetic - How to actually use Excess-N representation in binaries . . .
Excess-N notation shifts all values by N That is, in excess-N notation, the number represented by a binary code is N less than the unsigned value you would normally assign to that code For example, in excess-3 notation, the string '0000' (which is 0 in unsigned binary) represents 0 - 3 = -3 The string '0100' (which is 4 in unsigned binary) represents 4 - 3 = 1 It's quite common to see
- modular arithmetic - What are the properties of the modulus . . .
The reason that equivalence class arithmetic proves smoother is that congruence mod m is not only an equivalence relation but is, additionally, an arithmetic congruence relation, i e it respects the arithmetic operations This implies that all of the integer arithmetic laws (ring structure) are preserved in modular arithmetic
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