Assignment 4 Sample problems

Convert the following decimal numbers to binary

Convert the following decimal numbers to binary. 8 => =>

How can we get ? 8 => 8*1= 2 3 => =>512*1+256*1+128*1+16*1+8*1 => =>

Convert the following Binary numbers to Decimal

Convert the following Binary numbers to Decimal => =>307

How can we get ? => 1* *2 4 +1*2 2 = =>1* *2 5 +1* * * 2 0 = 307

Add the following binary numbers. Express your answers in binary =? =?

Add the following binary numbers. Express your answers in binary = =101011

How can we get ? => => => =>

Subtract the following binary numbers. Express your answers in binary =? =?

Subtract the following binary numbers. Express your answers in binary = =10001

How can we get ? => => => =>

Is this statement True or False? If I have an 8-bit system, will result in overflow.

Is this statement True or False? If I have an 8-bit system, will result in overflow. False

How can we get ?   The result is still 8-bit, so the answer is False

Provide the two's complement of the following 8-bit numbers

Provide the two's complement of the following 8-bit numbers => =>

How can we get ? 1: => (invert bits) (add one) => : => (invert bits) (add one) =>

Consider the Christmas lights circuit (with states) described in class. Let these be the expressions for the next states. A: not A B: A and B

Fill in the table with True or False where appropriate. Time Step (sec) ABNew ANew B 0False TrueFalse 1TrueFalse 2 3

Fill in the table with True or False where appropriate. Time Step (sec) ABNew ANew B 0False TrueFalse 1TrueFalse 2 TrueFalse 3TrueFalse

The “period” of a pattern is the number of steps it takes before the pattern repeats. What is the period of this pattern?

2