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કમ્પ્યુટર ઇન્જનીયરિંગમાં કયો વિષય મહત્વપૂર્ણ છે?
કમ્પ્યુટર ઇન્જનીયરિંગમાં કયો વિષય મહત્વપૂર્ણ છે?
કોણ વેરીఏബൽ ન૦ ન૦1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1(binary) ની આ decimal value?
કોણ વેરીఏബൽ ન૦ ન૦1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1(binary) ની આ decimal value?
કોન મોક്ഷ હો શકે? (1101.101)₂
કોન મોક്ഷ હો શકે? (1101.101)₂
ન૦1, 0, 1, 1, 0, 1, 0, 0 (binary) = ___________ (octal)
ન૦1, 0, 1, 1, 0, 1, 0, 0 (binary) = ___________ (octal)
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દશમલવ સિસ્ટમ માં કેટલા અંક છે?
દશમલવ સિસ્ટમ માં કેટલા અંક છે?
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બાયનરી સિસ્ટમ માં 5 ને કેટલી રીતે લખો?
બાયનરી સિસ્ટમ માં 5 ને કેટલી રીતે લખો?
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હેક્સેડેસીમલ સિસ્ટમ માં 'A' કોણ દ્વારા પ્રગટ થાય છે?
હેક્સેડેસીમલ સિસ્ટમ માં 'A' કોણ દ્વારા પ્રગટ થાય છે?
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Decimal system અને binary system મા વ્યત્ય8. 8.4.1.1.8.4.1.1.8.1.5.5.5.7.8.4.1.1.8.1.5.5.5.7.2.8.4.1.1.8.1.5.5.5.7.5.8.4.1.1.8.1.5.5.5.7.6 'A' '9' 'B' '2' 'D' 'E' 'F' 'C' '6' '7' '8'
Decimal system અને binary system મા વ્યત્ય8. 8.4.1.1.8.4.1.1.8.1.5.5.5.7.8.4.1.1.8.1.5.5.5.7.2.8.4.1.1.8.1.5.5.5.7.5.8.4.1.1.8.1.5.5.5.7.6 'A' '9' 'B' '2' 'D' 'E' 'F' 'C' '6' '7' '8'
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બાઇનરી સિસ્ટમની સૌથી મોટી વિશેષતા શું છે?
બાઇનરી સિસ્ટમની સૌથી મોટી વિશેષતા શું છે?
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Decimal to Binary Conversion 10 ની binary representation શું છે?
Decimal to Binary Conversion 10 ની binary representation શું છે?
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Binary to Decimal Conversion 1101 નુ decimal representation શું છે?
Binary to Decimal Conversion 1101 નુ decimal representation શું છે?
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Hexadecimal system 16 digits શું છે?
Hexadecimal system 16 digits શું છે?
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Study Notes
Diploma Maths-1: Computer Engineering
Introduction
Maths-1 is a crucial subject in the diploma program for computer engineering students. It focuses on the fundamentals of mathematics that are essential for a deeper understanding of computer engineering concepts. One of the important topics covered in Maths-1 is number systems and conversions. This article provides an in-depth exploration of these topics and their significance in computer engineering.
Number Systems
Number systems are used to represent numbers and perform arithmetic operations. The most common number systems include decimal, binary, and hexadecimal systems.
Decimal System
The decimal system is our everyday number system, consisting of ten digits: 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. It is the simplest and most widely used number system.
Binary System
The binary system is the number system used in digital devices, such as computers. It consists of only two digits: 0 and 1, representing the presence or absence of an electrical signal. Binary numbers are used to represent data in digital systems.
Hexadecimal System
The hexadecimal system is another number system used in computer engineering. It consists of 16 digits: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, and F, which represent the decimal numbers 0 to 15. The hexadecimal system is often used for representing and manipulating data in digital systems.
Conversions
Conversions are necessary when working with different number systems. The two most common conversions are decimal to binary and binary to decimal.
Decimal to Binary Conversion
To convert a decimal number to binary, we can follow these steps:
- Divide the decimal number by 2.
- Write down the integer quotient.
- If the quotient is not zero, go back to step 1 with the quotient.
- Write down the remainder.
For example, to convert the decimal number 10 to binary, we have:
$$\frac{10}{2} = 5$$
Write down 1 (as the quotient is not zero).
$$\frac{5}{2} = 2.5$$
Write down 0 (as the quotient is not an integer).
$$\frac{2}{2} = 1$$
Write down 1.
So, the binary representation of 10 is 1010.
Binary to Decimal Conversion
To convert a binary number to decimal, we can follow these steps:
- Multiply each binary digit by its corresponding power of 2.
- Add the results of the multiplications.
For example, to convert the binary number 1101 to decimal, we have:
$$1 \times 2^3 = 8$$ $$1 \times 2^2 = 4$$ $$0 \times 2^1 = 0$$ $$1 \times 2^0 = 1$$
So, the decimal representation of 1101 is 8 + 4 + 0 + 1 = 13.
Significance in Computer Engineering
Number systems and conversions play a crucial role in computer engineering. They are used to represent data in digital systems, perform arithmetic operations, and communicate information between different components of a computer. For example, binary numbers are used to represent data in computer memory, and binary arithmetic is used in digital circuits to perform arithmetic operations.
In conclusion, Maths-1 is an essential subject in the diploma program for computer engineering students. The topics of number systems and conversions are fundamental to understanding the principles of computer engineering and are used in various applications of digital systems.
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Description
Explore the fundamentals of number systems and conversions in computer engineering through this in-depth article on the Maths-1 subject for diploma students. Learn about decimal, binary, and hexadecimal systems, as well as the necessary conversions between them. Understand the significance of these concepts in computer engineering and their applications in digital systems.
