Multiple function unit design We want to design

Multiple function unit design • We want to design a unit that can do more than one function • In that case, we can design a function unit for each operation like add, sub, and, or…. • And then select the desired output • For example, if we want to be able to perform ADD and SUB on two given operand A and B and select any one on demand • Then the following set up will work A ADD B A MUX Result SUB B Select 1

Design of a SUB unit • An n-bit subtract unit can be designed in the same way as an nbit adder • One bit subtract unit: It has two inputs a and b (b is subtracted from a) and a borrow (w) in case the previous stage had one • It produces an output (result) and a borrow (cascading output) • Borrow from one stage is fed from a stage to the next stage • Truth table is shown • An n-bit subtract circuit is shown a b a b 1 -bit sub r w r w 2

Simplifying ADD/SUB unit design • • Separate ADD and SUB units are expensive We can simplify the design SUB is same as adding negation of B to A How to negate? – Take one’s complement and add 1 – Adding one is also expensive – It needs an n-bit adder – However, we only need to add two bits in each stage • In the first stage we need to add 1’s complement of first bit and 1 • In other stages, we need to a carry output to 1’s complement of bit • We select B or negative of B depending on the requirement • We add A to the selected input to obtain the result 3

Alternate ADD/SUB unit design • • 2’s complement generation of B is expensive For subtract, we can take 1’s complement of B and add it to A Then we need to add 1 to the result This can be achieved by adding 1 as input carry to n-bit adder For Add operation, we simply add B to A with carry = 0 Signal ADD/SUB = 0 for Add and 1 for Sub The block diagram is shown below MUX and inverter can be replaced by XOR of b and ADD/SUB a 1 MUX 0 1 -bit add s c b ADD/SUB 4