8-Bit Adder | Digital Electronics - Electrical Engineering (EE) PDF Download

8-Bit Adder

The adder component is an 8-bit ripple carry adder; real ALUs would normally feature a  'carry-look-ahead adder', allowing for high-speed operation. However for this example the much simpler ripple carry adder is adequate, as the operation is totally manual.

The adder component is illustrated in Fig. 5.8.5 and consists of eight full-adder circuits with additional logic consisting of an XOR gate to detect overflow errors, and an 8-input NOR gate to detect a zero result.

Negative result are indicated by sampling the most significant bit of the ‘sum’ output, and a ‘carry’ is indicated by sampling the carry output of the most significant full adder.

Four  D type flip- flop are used as ‘flag’ outputs to indicate the current state of the ALU after each operation.

8-Bit Adder | Digital Electronics - Electrical Engineering (EE)

The Shift Register

This component uses two 4- bit shift register (from Module 5.7) connected in cascade as shown in Fig. 5.8.6. Inputs are provided for clock pulses, (CK), a right/left shift control (R/~L) and an input to control whether the shift register is in shift, or load-enable modes (SHIFT/~LE).

If ~LE is chosen temporarily during shift operations, the shift register can be reloaded from the data placed on the 8-bit ‘Data A’ and ‘carry-in’ (CIN) inputs. This action is synchronised to the CK pulse by the external NAND and NOT gates connecting the SHIFT/~LE input to the two ~LOAD inputs of the 4-bit shift registers.

An additional JKflip- flop (mimicking a D type flip-flop) is placed between the ‘serial-right’ output of the shift register and COUT to allow the ‘clear carry’ input (~CLC) to clear the carry flag.

8-Bit Adder | Digital Electronics - Electrical Engineering (EE)

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FAQs on 8-Bit Adder - Digital Electronics - Electrical Engineering (EE)

1. What is an 8-bit adder?
Ans. An 8-bit adder is a digital circuit that can perform the addition of two 8-bit binary numbers. It takes two input numbers and produces an output sum and carry. Each bit of the input numbers and the carry is added together to generate the sum and a carry that is propagated to the next bit.
2. How does an 8-bit adder work?
Ans. An 8-bit adder works by performing addition bit by bit. It starts with the least significant bit (LSB) and adds the corresponding bits of the two input numbers along with the carry from the previous bit. The sum of each bit is stored in the output, and the carry generated is propagated to the next bit. This process continues until all 8 bits are added, resulting in the final sum and carry.
3. What is the purpose of an 8-bit adder?
Ans. The purpose of an 8-bit adder is to perform addition operations on two 8-bit binary numbers. It is commonly used in digital systems and computer architectures to perform arithmetic calculations and computations. The output of the adder can be used for further processing or to obtain the result of the addition operation.
4. What are the inputs and outputs of an 8-bit adder?
Ans. The inputs of an 8-bit adder are two 8-bit binary numbers that need to be added together. It also takes an additional input, the carry, which is the carry from the previous bit. The outputs of the adder are an 8-bit sum and a carry. The sum represents the result of the addition operation, while the carry indicates whether there was an overflow or a carry-out from the most significant bit.
5. Can an 8-bit adder handle numbers larger than 8 bits?
Ans. No, an 8-bit adder is specifically designed to handle 8-bit binary numbers. It can only perform addition on two 8-bit numbers and produce an 8-bit sum. If larger numbers need to be added, multiple 8-bit adders can be cascaded together to form a larger adder or a different type of adder with a higher bit capacity can be used.
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