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  • Topic: Decimal, Binary numeral system, Hexadecimal
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Technological Institute of the Philippines
Bachelor of Science in Electronics and Communications Engineering

CS 100L2-ICDL / ES12FB2
Assignment # 3

Flores, Ian Peter Hanie D.
Prof. Mon Arjay Fernandez Malbog
Jan. 15 2013

Computer Number System
Binary, hexadecimal, and octal refer to different number systems. The one that we typically use is called decimal. These number systems refer to the number of symbols used to represent numbers. In the decimal system, we use ten different symbols: 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. with these ten symbols, we can represent any quantity. For example, if we see a 2, then we know that there is two of something. For example, this sentence has 2 periods on the end.. When we run out of symbols, we go to the next digit placement. To represent one higher than 9, we use 10 meaning one unit of ten and zero units of one. This may seem elementary, but it is crucial to understand our default number system if you want to understand other number systems. For example, when we consider a binary system which only uses two symbols, 0 and 1, when we run out of symbols, we need to go to the next digit placement. So, we would count in binary 0, 1, 10, 11, 100, 101, and so on. Binary Number System

 1 times 1,000,000,000,000 (decimal 4,096)
plus 1 times   100,000,000,000 (decimal 2,048)
plus 1 times    10,000,000,000 (decimal 1,024)
plus 0 times     1,000,000,000 (decimal 512)
plus 0 times       100,000,000 (decimal 256)
plus 1 times        10,000,000 (decimal 128)
plus 1 times         1,000,000 (decimal 64)
plus 0 times           100,000 (decimal 32)
plus 1 times            10,000 (decimal 16)

plus 0 times             1,000 (decimal 8)
plus 1 times               100 (decimal 4)
plus 1 times                10 (decimal 2)
plus 0 times                 1 (decimal 1)

Decimal Number System| Binary Number System|
0| 0000|
1| 0001|
2| 0010|
3| 0011|
4| 0100|
5| 0101|
6| 0110|
7| 0111|
8|...
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