Posts by Farahat

Multiplication and Division of Floating Point Numbers Multiplication and division of floating point numbers are rather easy. Here are the steps: • Add (or subtract) the exponents of the numbers. • Multiply (or divide) the mantissa of the numbers. • Correct the exponent. • Normalize the number. • The sign of the result is the […]
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Normalizing Floating Point Numbers Floating point numbers are usually shown in normalized form. A normalized number has only one digit before the decimal point (a hidden number 1 is assumed before the decimal point). To normalize a given floating point number, we have to move the decimal point repeatedly one digit to the left and […]
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Multiplication of Binary Numbers Multiplication of two binary numbers is similar to the multiplication of two decimal numbers. The four possibilities are: Division of Binary Numbers Division with binary numbers is similar to division with decimal numbers. An example follows.
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Converting Binary Numbers into Octal To convert a binary number into octal, arrange the number in groups of three and write the octal equivalent of each digit. Negative Numbers The most significant bit of a binary number is usually used as the sign bit. By convention, for positive numbers this bit is 0, and for […]
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Adding Binary Numbers The addition of binary numbers is similar to the addition of decimal numbers. Numbers in each column are added together with a possible carry from a previous column. The primitive addition operations are: Subtracting Binary Numbers To subtract one binary number from another, convert the number to be subtracted into negative and […]
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Converting Decimal Numbers into Octal To convert a decimal number into octal, divide the number repeatedly by 8 and take the remainders. The first remainder is the LSD, and the last remainder is the MSD. Converting Octal Numbers into Binary To convert an octal number into binary, write the 3-bit binary equivalent of each octal […]
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Converting Decimal Numbers into Hexadecimal To convert a decimal number into hexadecimal, divide the number repeatedly by 16 and take the remainders. The first remainder is the LSD, and the last remainder is the MSD. Converting Octal Numbers into Decimal To convert an octal number into decimal, calculate the sum of the powers of 8 […]
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Converting Hexadecimal Numbers into Binary To convert a hexadecimal number into binary, write the 4-bit binary equivalent of each hexadecimal digit. Converting Hexadecimal Numbers into Decimal To convert a hexadecimal number into decimal, calculate the sum of the powers of 16 of the number.
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Converting Decimal Numbers into Binary To convert a decimal number into binary, divide the number repeatedly by 2 and take the remainders. The first remainder is the least significant digit (LSD), and the last remainder is the most significant digit (MSD). Converting Binary Numbers into Hexadecimal To convert a binary number into hexadecimal, arrange the […]
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Number Systems To use a microprocessor or microcontroller efficiently requires a working knowledge of binary, decimal, and hexadecimal numbering systems. This section provides background information about these numbering systems for readers who are unfamiliar with them or do not know how to convert from one number system to another. Number systems are classified according to […]
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