Lesson 5, Topic 2
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# Number Base Conversions

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### Conversion From Decimal To Binary

Note that the binary number 1010 may be specified as base two by writing it as 10102. The decimal number 100 may be written as 10010 i.e base ten. Don’t forget that binary number is the mother-tongue of the computers.

Rules to follow:

1. Divide the decimal number by 2
2. Continue the division until zero is reached
3. Read the remainder to get the answer starting from bottom upward. For example,

Convert 18 in decimal to binary (base 2)

Answer – 1810 = 100102

Convert 1010 to base 2

Answer – 1010 = 10102

Convert 2210 to base 2

Answer – 2210 = 101102

Convert 1610 to base 2

Answer – 1610 = 100002

Convert 7 to binary

Answer – 710 = 1112

Covert 30 to binary

Answer – 3010 = 111102

Convert 132 to binary

Answer – 13210 = 100001002

Evaluation

Now, do the following binary conversions:

Convert the following decimal numbers to their binary equivalents

100, 21, 15, 31, 421, 666, 314, 419, 24, 50, 200, 185.

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