## Thinking Mathematically (6th Edition)

Published by Pearson

# Chapter 4 - Number Representation and Calculation - 4.3 Computation in Positional Systems - Exercise Set 4.3 - Page 234: 12

#### Answer

$BCF_{sixteen}$

#### Work Step by Step

In base 16, A=10, B=11, C=12, D=13, E=14, F=15 (base ten amounts) Rightmost column: $(B+4)_{sixteen}=(11+4)_{ten}=F_{sixteen}$ record F, no carry $\left[\begin{array}{llll} & 5 & 3 & B_{sixteen}\\ + & 6 & 9 & 4_{sixteen}\\ - & - & - & -\\ & & & F_{sixteen} \end{array}\right]$ Next column: $(3+9)_{sixteen}=12_{ten}=C_{sixteen}$ record C, no carry $\left[\begin{array}{llll} & 5 & 3 & B_{sixteen}\\ + & 6 & 9 & 4_{sixteen}\\ - & - & - & -\\ & & C & F_{sixteen} \end{array}\right]$ Next column: $(5+6)_{sixteen}=11_{ten}=$ record $B$, Result: $BCF_{sixteen}$

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