Number System PDF

TYPES OF NUMBER SYSTEM 1. Binary Number System  numbers with base 2 2. Octal Number System  numbers with base 8 3. Decimal Number System  numbers with base 10 4. Hexadecimal Number System  numbers with base 16 NUMBERS SYSTEM NUMBER SYSTEM  Binary Number System uses two digits,...

TYPES OF NUMBER SYSTEM 1. Binary Number System  numbers with base 2 2. Octal Number System  numbers with base 8 3. Decimal Number System  numbers with base 10 4. Hexadecimal Number System  numbers with base 16 NUMBERS SYSTEM NUMBER SYSTEM  Binary Number System uses two digits, 0 and 1, and is the foundation for all modern computing.  NIBBLE is a group of four digit and it has 4 bits.  BYTE is a group of eight digits or consists of 8 bit. NUMBER SYSTEM TABLE BINARY NUMBER SYSTEM  Binary numbers uses only 0 and 1 digits.  Binary numbers denotes B as prefix. DECIMAL NUMBER SYSTEM  Decimal numbers uses digits from zero (0) to nine (9).  Decimal numbers are base 10 (ten). OCTAL NUMBER SYSTEM  Octal numbers uses digits from zero (0) to seven (7). HEXADECIMAL NUMBER SYS  Hexadecimal numbers uses digits from zero (0) to nine (9) and letters from A to F. BINARY ARITHMETIC OPERATION  Binary Addition is adding two binary numbers will give us a binary number itself and it is the simplest method. BINARY ARITHMETIC OPERATION  Binary Subtraction is subtracting two binary numbers will give us a binary number itself and it is also a straightforward method. BINARY ARITHMETIC OPERATION  Binary Multiplication is the same for the binary numbers as it is for numerals. BINARY ARITHMETIC OPERATION  Binary Division is the same for the binary numbers as it is for numerals. DIVIDENT DIVISOR QUOTIENT BINARY TO DECIMAL CONVERSION  A binary number is converted into a decimal number by multiplying each digit of the binary number by the power of either 1 or 0 to the corresponding power of 2. DECIMAL TO BINARY CONVERSION  A decimal number is converted into a binary number by dividing the given decimal number by 2 continuously until we get the quotient as 1, and we write the numbers from downward to upward