98.3k views
5 votes
True or False:

The digital logic circuit for multiplication circuitry can be based on a bit-shift circuit and an N-bit adder circuit.

User Arenielle
by
7.4k points

1 Answer

6 votes

Final answer:

The statement is true; digital multiplication circuits are based on bit-shifts and additions, which replicate binary multiplication processes using simple and efficient operations.

Step-by-step explanation:

True or False: The digital logic circuit for multiplication circuitry can be based on a bit-shift circuit and an N-bit adder circuit. The statement is true. Multiplication in digital systems can indeed be implemented using a series of bit shifts and additions, which are fundamental operations in computer architecture. A bit-shift operation effectively multiplies a binary number by two for each shift to the left, and divides by two for each shift to the right, without the need for complex hardware. The N-bit adder circuit is then used to add the shifted numbers in a way that resembles manual binary multiplication. Together, these components create a digital multiplication circuit that is fundamental in computer processors and other digital systems.

User Sondra
by
8.9k points