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COC 1: Install and Configure Computer System
• It consist of two digits.
• 0 and 1.
• With the base 2.
• All digital computer use this number system.
• Convert the data input from the decimal
format into it’s binary equivalent.
Number System
Binary
• Proper Method
• Leibniz Method
Number System Conversion
Binary to Decimal
1. Each number has a position.
Number System Conversion
Binary to Decimal
24 23 22 21 20
1 0 1 1 0
Number System Conversion
101102 = (1x24) + (0x23) + (1x22) + (1x21) + (0x20)
= (1x16) + (0x8) + (1x4) + (1x2) + (0x1)
= 16 + 0 + 4 + 2 + 0
= 2210
1. You can use the double dabble method.
Number System Conversion
Checking
Number System Conversion
Leibniz Method
… 8 4 2 1
Number System Conversion
Leibniz Method
16 8 4 2 1
1 0 1 1 0
1. Using this method, plot the given binary
numbers in each row.
Number System Conversion
Leibniz Method
16 8 4 2 1
1 0 1 1 0
1. Get the value of the row has a number 1.
Number System Conversion
16 8 4 2 1
1 0 1 1 0
1. Sum up the numbers.
16 + 4 + 2 = 2210
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Binary to Decimal Conversion