arithmetic-circuits
The Half Adder vs. The Full Adder: How Computers Do Math
TL;DR: A half adder sums two single bits to produce Sum (XOR) and Carry (AND). A full adder sums three bits — A, B, and a carry-in — and is...
Tag
arithmetic-circuits
A collection of 4 posts
half-adder
The Half Adder: Your First Step into Digital Logic Design
TL;DR: A half adder is the simplest binary-addition circuit. Two inputs (A, B) produce two outputs: Sum = (XOR) and Carry = (AND). It's only "half" an adder because it...
xor-gate
The XOR Gate: Mastering the Logic of Difference
TL;DR: The XOR (Exclusive OR) gate outputs 1 only when its inputs differ. Boolean expression . XOR is binary addition modulo 2, the sum bit of a half adder, the...
arithmetic-circuits
Mastering Binary Addition: Building a 4-Bit Ripple Carry Adder
TL;DR: A 4-bit ripple carry adder chains four full adders so each stage's carry-out feeds the next stage's carry-in. The architecture is simple but slow: total propagation delay scales linearly...