Question

Apply Booth Algorithm to multiply 3410 x 2710.

Apply Booth Algorithm to multiply 3410 x 2710.

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Answer #1

Input:

8-bit, Decimal

Multiplicand -

Decimal:

34

Binary:

00100010

Multiplier -

Decimal:

27

Binary:

00011011

Two's Complement:

11100101

Steps -

Starting Out:

0000000000100010

Shift:

0000000000010001

Subtract:

1110010100010001

Shift:

1111001010001000

Add:

0000110110001000

Shift:

0000011011000100

Shift:

0000001101100010

Shift:

0000000110110001

Subtract:

1110011010110001

Shift:

1111001101011000

Add:

0000111001011000

Shift:

0000011100101100

Shift:

0000001110010110

Final Product (Binary):

0000001110010110

Final Product (Decimal):

918
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