Building a Signed Multiplier Circuit On to the 4 x 4 signed multiplier circuit! This will multiply two signed 4-bit binary numbers and get an 8-bit signed output. For this circuit, you will use the 4-bit adder FA_4, and the 4-bit multiplexer MUX_4. The algorithm for the 4 x 4 multiplier is to first add, and then shift that will accumulate partial products. Note that here are no clocks! You will use two FA_4 adders to make an 8-bit adder. The algorithm is to move from the LSB to the MSB of the multiplier, note that if the bit is 1 the multiplicand is entered, if the bit is 0 all 0’s are entered. Partial sums are formed from the 2nd partial multiplication through the 4th multiplication. Also, for the multiplication of 2 4-bit numbers, the solution may be as many as 8-bits.

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Building a Signed Multiplier Circuit
On to the 4 x 4 signed multiplier circuit! This will multiply two signed 4-bit binary numbers and
get an 8-bit signed output. For this circuit, you will use the 4-bit adder FA_4, and the 4-bit
multiplexer MUX_4. The algorithm for the 4 x 4 multiplier is to first add, and then shift that will
accumulate partial products. Note that here are no clocks! You will use two FA_4 adders to
make an 8-bit adder. The algorithm is to move from the LSB to the MSB of the multiplier, note
that if the bit is 1 the multiplicand is entered, if the bit is 0 all 0’s are entered. Partial sums are
formed from the 2nd partial multiplication through the 4th multiplication. Also, for the
multiplication of 2 4-bit numbers, the solution may be as many as 8-bits.

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