[SOLVED] NYU Homework 1

Question 1:

1. Convert the following numbers to their decimal representation. Show your work.
   1. 100110112 =
   2. 4567 =
   3. 38A16 =
   4. 22145 =
2. Convert the following numbers to their binary representation:
   1. 6910 =
   2. 48510=
   3. 6D1A16 =
3. Convert the following numbers to their hexadecimal representation:
   1. 11010112 =
   2. 89510 =

Question 2:

Solve the following, do all calculation in the given base. Show your work.

1. 75668 + 45158 =
2. 101100112 + 11012 =
3. 7A6616 + 45C516 =
4. 30225 – 24335 =

Question 3:

1. Convert the following numbers to their 8-bits two’s complement representation. Show your work.
   1. 12410 =
   2. -12410 =
   3. 10910 =
   4. -7910 =
2. Convert the following numbers (represented as 8-bit two’s complement) to their decimal representation. Show your work.
   1. 000111108 bit 2’s comp =
   2. 111001108 bit 2’s comp =
   3. 001011018 bit 2’s comp =
   4. 100111108 bit 2’s comp =

Question 4:

1. 2.

Question 5:

1. 2. 3.

Question 6:

1. 2.

Question 7:

Solve Exercise 1.4.5, sections b – d, from the Discrete Math zyBook:

Question 8:

1. 2.

Question 9:

1. 2.

Question 10:

1. 2.

Question 11:

1. 2. 3.

Question 12:

1. 2.

Solve the following questions from the Discrete Math zyBook:

Exercise 1.2.4, sections b, c

Exercise 1.3.4, sections b, d

Solve the following questions from the Discrete Math zyBook:

Exercise 1.2.7, sections b, c

Exercise 1.3.7, sections b – e

Exercise 1.3.9, sections c, d

Solve the following questions from the Discrete Math zyBook:

Exercise 1.3.6, sections b – d

Exercise 1.3.10, sections c – f

Solve the following questions from the Discrete Math zyBook:

Exercise 1.5.2, sections c, f, i

Exercise 1.5.3, sections c, d

Solve the following questions from the Discrete Math zyBook:

Exercise 1.6.3, sections c, d

Exercise 1.7.4, sections b – d

Solve the following questions from the Discrete Math zyBook:

Exercise 1.7.9, sections c – i

Exercise 1.9.2, sections b – i

Solve the following questions from the Discrete Math zyBook:

Exercise 1.10.4, sections c – g

Exercise 1.10.7, sections c – f

Exercise 1.10.10, sections c – f

Solve the following questions from the Discrete Math zyBook:

Exercise 1.8.2, sections b – e

Exercise 1.9.4, sections c – e