HW6

cs170 HW6 Name:______________________ Q1. Using the refined Multiplication method (See supplemental Multiplication and Division document), solve the following division problems. Assume 4 bit registers, and an 8 bit ALU. Show the steps performed as done in the supplemental hand out. a) 5 x 10 = Multiplicand: Multiplier: Product: Multiplicand Product Initialize Step 1.0 0 th product bit = ___ Step 1.1 Shift right 1 Step 2.0 0 th product bit = ___ Step 2.1 Shift right 1 Step 3.0 0 th product bit = ___ Step 3.1 Shift right 1 Step 4.0 0 th product bit = ___ Step 4.1 Shift right 1 Product: b) 3 x 13 = Multiplicand: Multiplier: Product: Multiplicand Product Notes Initialize Step 1.0 0 th product bit = ___ Step 1.1 Shift right 1 Step 2.0 0 th product bit = ___ Step 2.1 Shift right 1 Step 3.0 0 th product bit = ___ Step 3.1 Shift right 1 Step 4.0 0 th product bit = ___ Step 4.1 Shift right 1 Product:

cs170 HW6 Name:______________________

cs170 HW6 Name:______________________ b) 419C0000 16 Convert the above Hexademical value IEEE 754 Single Precision number into decimal. Show your work. Convert to binary: What is the sign bit? What are the exponent bits and decimal value? What are the fraction bits and decimal value? What is the value of a? What is the value of b? What is the floating point number?