Arithmetic of Computers

Arithmetic of Computers

from Tenscope Limited

Lesson 2

The Arithmetic of Powers

Multiplication by addition, and division by subtraction

Page 46

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Your answer :
(b16)/(bn) = b(16 − n)     (53)/(51) = 25 (104)/(102) = 100     (b2)/(b) = b1  This group contains a mistake.
Well, let’s see:
(b16)/(bn)  =  b(exponent of dividend,  16,  minus exponent of divisor,  n) = b(16 − n); (104)/(102)  =  10(4 − 2) = 10 × 10 = 100; (53)/(51)  =  5(3 − 1) = 52 = 5 × 5 = 25; (b2)/(b)  =  (b2)/(b1) = b(2 − 1) = b1 = b.
They’re all correct.
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