ictq1week3computernumbersystem-240819043322-8b9396e3.pptx

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1. TLE – ICT 7 MATATA G COMPUTER NUMBER SYSTEM ROEL P. TABUYO Subject Teacher

2. CONTENT STANDARD Demonstrate an understanding of the computer number systems. Demonstrate an understanding of conversion of computer number systems.

3. LEARNING COMPETENCIES Differentiate the various computer number systems. Apply conversion of computer number system.

4. NUMBER SYSTEM is a method of representing numbers using specific rules. It provides a consistent way to express numerical values. In mathematics, we use various number systems to represent and manipulate numbers.

5. 4 COMMON TYPES OF NUMBER SYSTEM DECIMAL NUMBER SYSTEM BINARY NUMBER SYSTEM OCTAL NUMBER SYSTEM HEXADECIMAL NUMBER SYSTEM

6. DECIMAL NUMBER SYSTEM Base -10 The decimal system uses ten digits: 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. · Each position to the left of the decimal point represents powers of 10 (units, tens, hundreds, thousands, etc.).

7. BINARY NUMBER SYSTEM · The binary system uses only two digits: 0 and 1. · It is widely used in computer science and digital electronics.

8. OCTAL NUMBER SYSTEM · The octal system uses eight digits: 0, 1, 2, 3, 4, 5, 6, and 7. · It is less common but still used in some contexts.

9. HEXADECIMAL NUMBER SYSTEM · The hexadecimal system uses sixteen digits: 0–9 and A–F (where A represents 10, B represents 11, and so on). · It is commonly used in computer programming and memory addressing.

10. TYPES OF NUMBERS 1. Counting Number 2. Whole Number 3. Integers 4. Rational Numbers 5. Irrational Numbers 6. Real Numbers 7. Even Numbers 8. Odd Numbers 9. Prime Numbers 10. Composite Numbers

11. BINARY NUMBERS BIT – each digit in Binary. STEPS TO CONVERT A DECIMAL TO BINARY Divide the decimal number by 2. Use integer quotient obtained as the dividend for the next step. Continue dividing until the quotient becomes 0. Write down the remainders in reverse order to get the binary representation. 1.

12. Convert the following: 6 8 10 40 100

13. OCTAL NUMBERS The octal number system is a base-8 system that uses digits from 0 to 7 to represent any number. It is similar to other number systems like binary and hexadecimal. 1.

14. OCTAL NUMBERS To convert decimal numbers to octal, we use the octal dabble method. For example, to convert 80 to octal: 80 ÷ 8 = 10 with a remainder of 0 10 ÷ 8 = 1 with a remainder of 2 1 ÷ 8 = 0 with a remainder of 1 So, the octal representation is 120. 1.

15. OCTAL NUMBERS To convert decimal numbers to octal, we use the octal dabble method. For example, to convert 560 to octal: 560 ÷ 8 = 70 with a remainder of 0 70 ÷ 8 = 8 with a remainder of 6 8 ÷ 8 = 1 with a remainder of 0 1 ÷ 8 = 0 with a remainder of 1 So, the octal representation is 10608. 1.

16. HEXADECIMAL NUMBER SYSTEM Divide the decimal number by 16. ● Write down the remainder. ● Use the quotient for the next division. ● Repeat until the quotient is zero. 1.