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

\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