i) A 2-LUT can be used to implement the standard binary logic operations such as “and", “or", and “xor". Sketch the circuit of a l-bit full adder (with carry-in and carry-out) using standard binary logic operations.

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CPUS are often implemented using FPGAS. FPGAS implement bit-wise
logic in terms of k-LUTS (k input lookup-tables), which can implement any
1-bit function of k bits. Typically FPGAS use 4-LUTS, 5-LUTS, or 6-LUTS.
Storage is implemented using 1-bit FFs (flip-flops). We will assume that
the only thing that affects critical path is a LUT propagation delay of 1ns.
2
, or
Transcribed Image Text:CPUS are often implemented using FPGAS. FPGAS implement bit-wise logic in terms of k-LUTS (k input lookup-tables), which can implement any 1-bit function of k bits. Typically FPGAS use 4-LUTS, 5-LUTS, or 6-LUTS. Storage is implemented using 1-bit FFs (flip-flops). We will assume that the only thing that affects critical path is a LUT propagation delay of 1ns. 2 , or
i) A 2-LUT can be used to implement the standard binary logic
operations such as "and", "or", and “xor". Sketch the circuit of a 1-bit
full adder (with carry-in and carry-out) using standard binary logic
operations.
ii) Sketch the circuit of a 2-bit full adder (with carry-in and carry-out)
using the minimum number of 5-LUTS, and state the critical path of
the adder. You do not need to specify the function or truth-table
entries of the LUTS.
iii) A register file can be implemented using an array of registers, with a
multiplexor used to implement the register read path. Give the
number of 6-LUTS needed to implement the read multiplexors for a
register file with w-bit words and 22" entries, where n > 0 is an
integer.
Transcribed Image Text:i) A 2-LUT can be used to implement the standard binary logic operations such as "and", "or", and “xor". Sketch the circuit of a 1-bit full adder (with carry-in and carry-out) using standard binary logic operations. ii) Sketch the circuit of a 2-bit full adder (with carry-in and carry-out) using the minimum number of 5-LUTS, and state the critical path of the adder. You do not need to specify the function or truth-table entries of the LUTS. iii) A register file can be implemented using an array of registers, with a multiplexor used to implement the register read path. Give the number of 6-LUTS needed to implement the read multiplexors for a register file with w-bit words and 22" entries, where n > 0 is an integer.
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