半加法器和全加法器之间的区别

1.半加法器：
Half Adder是一种组合逻辑电路，通过连接一个EX-OR门和一个AND门而设计。半加法器电路有两个输入：A和B，它们将两个输入数字相加并产生一个进位和一个和。

从“异或”门获得的输出是两个数字的和，而“与”门获得的输出是进位。因为没有逻辑门可处理进位加法，所以将不会转发进位加法。因此，这称为半加法器电路。

逻辑表达式：

Sum = A XOR B
Carry = A AND B 

真相表：

2. Full Adder：
Full Adder是由两个EX-OR门，两个AND门和一个OR门组成的电路。完全加法器是将三个输入相加并产生两个由两个EX-OR门，两个AND门和一个OR门组成的输出的加法器。前两个输入是A和B，第三个输入是作为C-IN的输入进位。输出进位指定为C-OUT，正常输出指定为S，即SUM。

通过“异或”门得到的等式是二进制数字的总和。而通过与门获得的输出是通过加法获得的进位。

真相表：

逻辑表达式：

SUM = (A XOR B) XOR Cin = (A ⊕ B) ⊕ Cin
CARRY-OUT = A AND B OR Cin(A XOR B) = A.B + Cin(A ⊕ B) 

半加法器和全加法器之间的区别：

S.No.	Half Adder	Full Adder
1	Half Adder is combinational logic circuit which adds two 1-bit digits. The half adder produces a sum of the two inputs.	Full adder is combinational logical circuit that performs an addition operation on three one-bit binary numbers. The full adder produces a sum of the three inputs and carry value.
2	Previous carry is not used.	Previous carry is used.
3	In Half adder there are two input bits ( A, B).	In full adder there are three input bits (A, B, C-in).
4	Logical Expression for half adder is : S=a⊕b ; C=a*b.	Logical Expression for Full adder is : S=a⊕b⊕Cin; Cout=(a*b)+(Cin*(a⊕b)).
5	It consists of one EX-OR gate and one AND gate.	It consists of two EX-OR, two AND gate and one OR gate.
6	It is used in Calculators, computers, digital measuring devices etc.	It is used in Multiple bit addition, digital processors etc.