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The hexadecimal number system has made the representation of large values easy. The
hexadecimal numbers are used to represent colours on a webpage, that's why programmers
now prefer hexadecimal numbers. Some examples of colour code are:
Red: #FF0000 Green: #00FF00 Blue: #0000FF
i + DECIMAL TO BINARY CONVERSION
To convert a decimal number into a binary number, follow the given steps: 2 126
Step 1: Divide the number to be converted by 2 while keeping track of the 2 63 0
quotient and remainder. 2 31 1
Step 2: Continue dividing the quotient by 2 until you get a quotient of 0. 2 15 1
Step 3: Then write the remainder in the reverse order. 2 7 1
Example: (126) 2 3 1
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The binary equivalent of 126 is 1111110 or (126) = (1111110) 1 1
10 2
#Problem Solving & Logical Reasoning
Let’s CatCh Up
Convert (26) to a binary number and write answer below.
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i + BINARY TO DECIMAL CONVERSION
To convert a binary number into a decimal number, follow the given steps:
Step 1: Multiply each digit of the binary number by 2 to the power of n, where n is the position
of the digit starting from 0 on the right.
Step 2: Add the result.
Example: Convert (101001) to decimal number.
2
4
1
5
3
2
= 1 × 2 + 0 × 2 + 1 × 2 + 0 × 2 + 0 × 2 + 1 × 2 0
Sum of the products = 32 + 0 + 8 + 0 + 0 + 1 = 41
Therefore, (101001) = (41)
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i + OPERATIONS ON BINARY NUMBERS
We can perform various operations on binary numbers. Let's discuss binary addition and binary
subtraction in detail.
Binary Addition
Binary addition is similar to the addition of decimal numbers. When the value of addition exceeds
the value 1, say 10 or 11, then 1 is carried over to the left of the current position.
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iPlus (Ver. 2.0)-VII

