History quiz

Which method of storage would make computer arithmetic easier?

The method of storing numbers so that computer arithmetic is easier is known as Excess K Representation, where K is the modulus.

Any digit set of base K can be expressed in excess K notation as:

$$D=d_n (K^n)+ d_{n-1} (k^{n-1}) +...+d_1 (K^1) + d_0(K^0)-K (k^0)$$

Where

- \(K \) is the radix or base.

- \(n\) is the number of digits.

- \(d_n,..., d_0\) are digits that belong to the set {0, 1, 2, ..., K-1}.

When K = 10, the excess-K representation is often called decimal excess notation or Stibitz notation.