Sahithyan's S2 — Computer Organization and Digital Design
Multipliers
Used to perform multiplication of binary numbers. Essential in various applications such as digital signal processing, computer graphics, and scientific computations.
2x2 Multiplier
Multiplies two 2-bit binary numbers. The multiplication process involves generating partial products and then summing them up.
To build a 2x2 multiplier, 4 AND gates and 2 full adders are required.
Here is an example:
a1 a0x b1 b0---------------------- c1 a1b1 a0b0+ a1b1 a0b0---------------------- c2 s2 s1 a0b0----------------------4x4 Multiplier
Multiplies two 4-bit binary numbers.
To build a 4x4 multiplier, 12 full adders and 16 AND gates are required.
Here is an example:
a3 a2 a1 a0x b3 b2 b1 b0-------------------------------------------------------- a3b0 a2b0 a1b0 a0b0 a3b1 a2b1 a1b1 a0b1 a3b2 a2b2 a1b2 a0b2+ a3b3 a2b3 a1b3 a0b3--------------------------------------------------------
--------------------------------------------------------