Question

You are supposed to build a custom ALU that can perform the following operations:

1. Multiplication
2. Addition
3. Division
4. Logical OR

Select all necessary components below, to create this ALU.

Multiplexer

Demultiplexer

OR gate

AND gate

NOT gate

Encoder

Priority Encoder

Decoder

Adder

Subtractor

Multiplier

Divider

Shifter

Register

Register File

Answer 1

Ans-Multiplication- is complicated than addition.

• more time and more area requried.
• unsigned multiplication.
• multiplication is impractical implemented in hardware.
• Example- 5-bit multiplicand (10001)_{2 =(17)10}
• _5-bit multipler *(10011) ₂= (19)₁₀
• =(101000011)_{2= (323)10}

Addtion-alu perform logical equestion and truth table.

full adder

half adder

formula- carrayout=(b.carryIn)+(a.carryIn)+(a.b)+(a.b.carrayIn)

where b.carryIn= AND

a.carryIn=OR

Division-division is used to perform Raphson algorithm. division algorithm minimal and maximal error can be achieved by scaling the divisior .it is performed addition and multiplication operation.

Logical OR-

logical OR- is performing OR gate , it is performed arithmetic operation, and logical operation.

select all necessary components-

OR gate- or is performed logical addition.

AND Gate- is performed logical multiplication.

NOT gate- is called inveter it is used 0 convert 1 and 1convert 0.

Adder- is used add two bit and give the result.there are perform two type of adder half adder and full adder.

this is a ripple carray adder.

Subtractor- subtractor is performed subtract of binary digits.

multiplier- is performed multiplication of binary digits.

divider- is performed divisionn of binary digits.