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Case Input Multiplication

1 0 × 0 0

2 1 × 0 0

3 0 × 1 0

4 1 × 1 1

Example 1 Example 2 Example 3
Compute (110) × (11) Compute (1101) × (10) Compute (1001) × (101)
2 2 2 2 2 2
1 0 0 1
1 1 0 1 1 0 1 × 1 0 1
× 1 1 × 1 0 1 0 0 1
1 1 0 0 0 0 0 0 0 0 0 ×
1 1 0 × 1 1 0 1 × 1 0 0 1 × ×

1 0 0 1 0 1 1 0 1 0 1 0 1 1 0 1

BINARY DIVISION
Binary division is similar to decimal division. It starts on the left side of the numbers.

Example 1 Example 2 Example 3
Compute (101) ÷ (10) 2 Compute (1111) ÷ (11) 2 Compute (101101) ÷ (101) 2
2
2
2
1 0 quotient 1 0 1 quotient 1 0 0 1 quotient
1 0 1 0 1 dividend 1 1 1 1 1 1 dividend 1 0 1 1 0 1 1 0 1 dividend
– 1 0 – 1 1 – 1 0 1
1 0 0 1 0 1
– 0 0 – 0 0 – 0 0
1 remainder 1 1 1 0
– 1 1 – 0 0
0 remainder 1 0 1
– 1 0 1

0 remainder

Post-Processingost-Processing
P
 A number system defines a set of values used to represent different quantities.

 The number of digits in a number system is called its Base or Radix.
 The face value of a digit in a number is the digit itself. The place value of a digit in a number
depends on its place in the number and the base of the number system.
 The common number systems used are – Decimal, Binary, Octal, and Hexadecimal.
 Numbers can be converted from one number system to another.
 Just like decimal numbers, binary numbers can be added, subtracted, multiplied, or divided.

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