Understanding Binary Adders and Race Conditions in Flip-Flops
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Binary Parallel Adder
A binary parallel adder is a digital circuit that adds two binary numbers in parallel, meaning all bits are added simultaneously. It typically consists of full adders arranged in parallel, with each full adder adding corresponding bits from the two input numbers.
BCD Adder
A BCD (Binary Coded Decimal) adder is a specific type of binary parallel adder designed to add two BCD numbers. BCD numbers are decimal digits encoded in binary, where each decimal digit is represented by its 4-bit binary equivalent.
Truth Table for a 4-bit BCD Adder
Here's the truth table for a 4-bit BCD adder:
Diagram
In the truth table:
- A3 A2 A1 A0 represents the first BCD number (A).
- B3 B2 B1 B0 represents the second BCD number (B).
- Cin represents the carry-