Advanced Binary for Programming & Computer Science: Logical, Bitwise and Arithmetic Operations, and Data Encoding and Representation - Sunil Tanna

Descriere

nThis book explains how the binary works & how it is used by computers to represent information including positive & negative integers, characters & real numbers. It explains the logical & bitwise operations used to manipulate information & perform arithmetic. We also briefly look at how computers store this information in memory & secondary storage, & how it can be transmitted between computers. Topics covered include: INTRODUCING NUMBER BASES & BINARY CONVERTING FROM BINARY TO DENARY & VICE-VERSA nHow to Convert a Binary Number to Denary nHow to Convert a Denary Number to Binary HOW COMPUTERS GROUP BINARY DIGITS nA Closer Look at Bytes nA Closer Look at Words n-Word alignment, word alignment & packing, byte ordering & endianness nAddresses BOOLEAN OPERATIONS & LOGIC GATES nFundamentals of Boolean Algebra n-NOT, AND, OR, XOR, NAND, NOR, NXOR nCombining Logic Gates n-NOT, AND, OR, XOR, NOR using NAND logic nLogical Versus Bitwise Operations nUsing Bitwise Operations to Set, Clear, Flip or Test Bits n-Setting bits, inverting bits, clearing bits, testing bits ADDING & SUBTRACTING IN BINARY nAdding Binary Integers n-The column addition method of adding denary numbers & adding binary numbers, implementing binary addition using logic gates nSubtracting Binary Integers n-The column subtraction methods of subtracting denary numbers & subtracting binary numbers, implementing binary subtraction using logic gates SHIFT OPERATIONS nLeft Shift nRight Shift nCircular Shifts MULTIPLICATION & DIVISION IN BINARY nMultiplication n-Multiplying by a power of 2, column multiplication, Russian peasant multiplication algorithm, multiplication in hardware nDivision n-Dividing by a power of 2, denary long division, binary long division, algorithm for binary long division, division in hardware REPRESENTING CHARACTERS & STRINGS OF CHARACTERS nRepresenting Individual Characters n-ASCII, extended ASCIIs, BCDIC & other early character encodings, EBCDIC, Unicode nRepresenting Strings of Characters n-Terminated strings, length-prefixed strings, other string representations REPRESENTING TEXT & GRAPHICS ON SCREEN nText Mode Displays nBitmap Displays PARITY CHECKING nWhat is a Parity Bit nEven & Odd Parity nAdvantages, Disadvantages & Limitations of Using Parity Checking nParity's Use in RAID Storage Devices nUnused Parity Bits SIGNED INTEGERS nOffset Binary nSigned Magnitude Representation nOne's Complement n