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MULTIPLICATION OF NUMBERS IN BASE TWO NUMERALS
CONTENT
- Multiplication of Numbers in Base \(2\) Numerals: Multiplication of Two- or Three-digit Binary Numbers
- Quantitative Aptitude Related to Conversions and Applications
Multiplication of Two-digit Binary Numbers
When multiplying binary numbers, it is important to note that:
\(0 × 0 = 0\)
\(1 × 0 = 0\)
\(0 × 1 = 0\)
\(1 × 1 = 1\)
Examples:
Multiply the following leaving your answers in binary.
(i) \(11_2 × 11_2\) (ii) \(101_2 × 11_2\) (iii) \(1011_2 × 101_2\)
Solutions:
(i) \(11_2 × 11_2 =\) \(\begin{array}{@{}rrr} 1 1_2 \\ × 1 1_2 \\ \hline 1 1 \\ + 11 \\ \hline 1001_2\\ \hline\end{array}\)
(ii) \(101_2 × 11_2 =\) \(\begin{array}{@{}rrr} 1 0 1_2 \\ × 1 1_2 \\ \hline 10 1 \\ + 101 \\ \hline 1111_2\\ \hline\end{array}\)
(iii) \(1011_2 × 101_2 =\) \(\begin{array}{@{}rrr} 1 0 11_2 \\ × 1 01_2 \\ \hline 101 1 \\ 0000 \\ + 1011\\ \hline 110111_2\\ \hline\end{array}\)
Note: The teacher should explain with more examples very well in class.
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ClassHall Instructor
Ezimeruwe Oghenekaro
Halima Ahmadu
Sadiq Barau