Define Half Adder. Write the expression and draw the logic diagram for a half Adder
Answers
Explanation:
The half adder circuit has two inputs: A and B, which add two input digits and generates a carry and a sum. The full adder circuit has three inputs: A and C, which add three input numbers and generates a carry and sum. This article gives detailed information about what is the purpose of a half adder and full adder in tabular forms and even in circuit diagrams too. It is already mentioned that the main and crucial purpose of adders is addition. Below are the detailed half adder and full adder theory.
These are the least possible single-bit combinations. But the result for 1+1 is 10, the sum result must be re-written as a 2-bit output. Thus, the equations can be written as
These are the least possible single-bit combinations. But the result for 1+1 is 10, the sum result must be re-written as a 2-bit output. Thus, the equations can be written as0+0 = 00
These are the least possible single-bit combinations. But the result for 1+1 is 10, the sum result must be re-written as a 2-bit output. Thus, the equations can be written as0+0 = 000+1 = 01
These are the least possible single-bit combinations. But the result for 1+1 is 10, the sum result must be re-written as a 2-bit output. Thus, the equations can be written as0+0 = 000+1 = 011+0 = 01
These are the least possible single-bit combinations. But the result for 1+1 is 10, the sum result must be re-written as a 2-bit output. Thus, the equations can be written as0+0 = 000+1 = 011+0 = 011+1 = 10
These are the least possible single-bit combinations. But the result for 1+1 is 10, the sum result must be re-written as a 2-bit output. Thus, the equations can be written as0+0 = 000+1 = 011+0 = 011+1 = 10The output ‘1’of ‘10’ is carry-out. ‘SUM’ is the normal output and ‘CARRY’ is the carry-out.
These are the least possible single-bit combinations. But the result for 1+1 is 10, the sum result must be re-written as a 2-bit output. Thus, the equations can be written as0+0 = 000+1 = 011+0 = 011+1 = 10The output ‘1’of ‘10’ is carry-out. ‘SUM’ is the normal output and ‘CARRY’ is the carry-out.Now it has been cleared that a 1-bit adder can be easily implemented with the help of the XOR Gate for the output ‘SUM’ and an AND Gate for the ‘Carry’.
The simplest expression uses the exclusive OR function:
The simplest expression uses the exclusive OR function:Sum= A XOR B
The simplest expression uses the exclusive OR function:Sum= A XOR BCarry = A AND B
And an equivalent expression in terms of the basic AND, OR, and NOT is:
And an equivalent expression in terms of the basic AND, OR, and NOT is:SUM=A.B+A.B’
