for a 2×1 mux where the inputs are x⁰, x¹, and the selection line is S.

the output F=...

In the 4bit full adder an over can be detected by connecting the carry out of the 3th adder and the carry out of the 4th adder into

A, B unsigned numbers.
A - B will generate a carry that we discard when...

............. is essentially a decoder with a built-in OR gate.

the addition of n-bit numbers requires a chain of n full adders, or a chain of one half adder and...