Question

Use bit-pair recoding to multiply the following operands which are in 2s complement representation:

Multiplicand 0 1 0 0 1 1 0 (+38) Multiplier 1 0 0 1 1 0 1 (-51)

Answer 1

Bit-pair recoding is a technique used to multiply numbers in binary representation. To multiply the given operands using bit-pair recoding, convert the operands into binary representations and apply the rules of bit-pair recoding to obtain the product.

Step-by-step explanation:

Bit-pair recoding is a technique used to multiply numbers in binary representation. To use bit-pair recoding to multiply the given operands (38 and -51), we first convert them into their binary representations. The multiplicand 38 is converted to 00100110, and the multiplier -51 is converted to 11001101.

Next, we perform the bit-pair recoding by grouping the digits into pairs and assigning a value to each pair based on the rules of bit-pair recoding. For example, the pair 00 has a value of 0, the pair 01 has a value of -1, and so on.

After applying bit-pair recoding, we multiply the multiplicand by the bit-pair recoded multiplier and obtain the product 111110111111.