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1.2.2 Conversions from one Number system to the other

Computer Science · Class 10

Q1. Define 1.2.2 Conversions from one Number system to the other.

Q2. Explain the main ideas in 1.2.2 Conversions from one Number system to the other.

Q3. Give one clear example of 1.2.2 Conversions from one Number system to the other and say why it fits.

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1.1 Machine Level Representation of data

Machine level representation of data is the method by which all types of information—numbers, text, images, sound, and instructions—are converted into a format that a computer's hardware can directly store, process, and understand. At the lowest level, this format is binary, meaning it uses

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1.2.1 Types of Number Systems

A number system is a way of writing and showing numbers. It uses specific digits or symbols to represent numbers. It helps us organize and understand numbers within a certain group. Number systems also make it easier to do basic math operations like addition, subtraction, multiplication, and div

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1.2.3 Binary Arithmetic

Binary arithmetic is the method of performing mathematical operations—addition, subtraction, multiplication, and division—using only the binary digits 0 and 1. The rules are similar to decimal arithmetic, but simpler because there are only two digits. When the result of adding two bits exceeds 1, a

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1.2.4 Overflow and Underflow

Overflow happens when a calculation produces a result that is larger than the maximum value that can be stored or represented with the available number of digits or bits in a system. This causes the system to be unable to properly show or handle the result. Underflow happens when a calculati

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1.2.5 Compliments (1's and 2's)

1's Complement: The 1's complement of a binary number is obtained by toggling (inverting) all its bits. That means we transform every 1 bit into a 0 bit and every 0 bit into a 1 bit. 2's Complement: The 2's complement of a binary number is obtained by taking the 1's complement of the number

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1.2.6 Signed and Unsigned Numbers Representation

Unsigned Numbers Representation: Unsigned numbers don't have any sign; they can contain only the magnitude of the number. So, the representation of unsigned binary numbers includes all positive numbers only. For example, the representation of positive decimal numbers is positive by default. We a

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