# Computer Math

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1) Perform the following operation using the BCD format.

a. 45 * 28

2) Perform the following operations using the two's complementary representation using 8 bit numbers.

a. 14 - 65

b. 125 + 13

3) Perform the following operations using the 8-digit, excess-50 floating-point notation. Use 0 to represent a positive sign and 5 to represent a negative sign.

a. 825434.756 + 34958.7345849

b. 0.0000000000234 * 2340958732.4590873245

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1. Convert each BCD to 8 bits for multiplication:

45 = 0000 0100 0000 0101

28 = 0000 0010 0000 1000

Perform digit-by-digit multiplication:

5x8:

0000 0101

x 0000 1000

= 0010 1000

/ 0000 1010

= 0000 0100 Remainder 0000 0000

= 0000 0100 0000 0000 = 40

4x8:

0000 0100

x 0000 1000

= 0010 0000

/ 0000 1010

= 0000 0011 Remainder 0000 0010

Add 8-bit 0's since it is a tens digit

= 0000 0011 0000 0010 0000 0000 = 320

5x2:

0000 0101

x 0000 0010

= 0000 1010

/ 0000 1010

= 0000 0001 Remainder 0000 0000

Add 8-bit 0's since it is a tens digit

= 0000 0001 0000 ...

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