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Digital design width CPLD Application and VHDL - Chapter 6

Digital Arithmetic and Arithmetic Circuits Có hai cách thực hiện phép tính số học nhị phân với số nhị phân không dấu, với ký số nhị phân. Số nhị phân đã ký kết hợp một bit xác định dấu hiệu của một số, số nhị phân unsigned không. Một số cách viết ký số nhị phân là đúng sự thật, tầm quan trọng hình thức, trong đó duy trì tầm quan trọng của các số trong hệ nhị phân giá trị, và bổ sung 1 và các hình thức bổ sung 2, thay đổi độ lớn nhưng phù hợp với mạch kỹ thuật số | CHAPTER IIIIIIIIIIIQIIIIIIIIIIIIIIII IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII Digital Arithmetic and Arithmetic Circuits OUTLINE CHAPTER OBJECTIVES 6.1 Digital Arithmetic 6.2 Representing Signed Binary Numbers 6.3 Signed Binary Arithmetic 6.4 Hexadecimal Arithmetic 6.5 Numeric and Alphanumeric Codes 6.6 Binary Adders and Subtractors 6.7 BCD Adders 6.8 Carry Generation in MAX PLUS II Upon successful completion of this chapter you will be able to Add or subtract two unsigned binary numbers. Write a signed binary number in true-magnitude 1 s complement or 2 s complement form. Add or subtract two signed binary numbers. Explain the concept of overflow. Calculate the maximum sum or difference of two signed binary numbers that will not result in an overflow. Add or subtract two hexadecimal numbers. Write decimal numbers in BCD codes such as 8421 Natural BCD and Excess-3 code. Construct a Gray code sequence. Use the ASCII table to convert alphanumeric characters to hexadecimal or binary numbers and vice versa. Derive the logic gate circuits for full and half adders given their truth tables. Demonstrate the use of full and half adder circuits in arithmetic and other applications. Add and subtract M-bit binary numbers using parallel binary adders and logic gates. Explain the difference between ripple carry and parallel carry. Design a circuit to detect sign-bit overflow in a parallel adder. Draw circuits to perform BCD arithmetic and explain their operation. Use VHDL to program CPLD devices to perform various arithmetic functions such as parallel adders overflow detectors and 1 s complementers. There are two ways of performing binary arithmetic with unsigned binary numbers or with signed binary numbers. Signed binary numbers incorporate a bit defining the sign of a number unsigned binary numbers do not. Several ways of .