Arithmetic of Computers

Your answer :

.256₈ = .339₁₀(rounded).

We’d better go over that last step. In the step for which you obtained 11₈ = 9₁₀ you had

3.770₈ × 12₈ 1.760₈ 7.70₈ 11.660₈

Taking it a step further by multiplying the fractional part, .660₈, by 12₈ we get

.660₈ × 12₈ 1.540₈ 6.60₈ 10.340₈

We get 10₈ as the integral part of our next product. 10₈ = 8₁₀, so 8₁₀is the next digit of our decimal fraction.

.256₈ = .3398…₁₀

If we round this to 3 decimal places we will round up, not down, won’t we?

Now return to Page 274 and try again.