CPSC 425 Homework 1

Create a 4-bit by 3-bit binary multiplier that multiplies a 4-bit number by a 3-bit number. Note: The 4-bit number should be the multiplicand and the 3-bit number should be the multiplier.

Base 8 representation of numbers is called “octal”, and uses only digits 0 through 7.Give the following equivalent numbers for octal number 1473 in each binary,decimal, and hexadecimal representation. a. Binary: _____________________b. Decimal: _________________________c. Hexadecimal: _____________________

4. Convert the following hexadecimal numbers to their binary equivalents: a. 1C b. 1FC C. A64 d. 239.4 5. Convert the following binary numbers to their hexadecimal equivalents: a, 1001.1111 b. 110101.011001 c. 10100111.111011 d. 1101001.01011

To get the 2's complement of a binary number, you first take the ____________, then add 1.

6. ASCII code of the character D is 01000100. What is its decimal code? 7. ASCII code of the character f is 01100110. What is its decimal code? 8. Find the binary code of the number 18. If this number is stored in the memory of the computer, show the on/off settings of the byte of the memory where it is stored. 9. Find the binary code of the number 161 and determine how many bytes are needed to store it. 10. Find the binary code of the number 265 and determine how many bytes are necessary to store this number. 11. How many bytes of memory is needed to store the word SUNSHINE? 12. How many bytes of memory is needed to store the word EASTERN? 13. How many bytes are in a megabyte?

1. Express the following numbers in decimal: (26.24) 8

I. Number Conversions:Convert the given number system to its specified base. Show all your solutions in another sheet of paper.1. 1011 111 0011 1010. 1100 10002 =_________ 10 =________ 8 =___________ 162. ACE.2516 =____________ 10 =______________ 2 =________________ 83. 750.1258 =_____________ 10 =______________ 2 =_________________ 164. AB.812 =____________ 3 =______________ 6 =_________________ 9

What decimal value does the 8-bit binary number 10011110have if:1. a) It is interpreted as an unsigned number?b) It is on a computer using signed-magnituderepresentation?2. c) It is on a computer using one’s complementrepresentation?3. d) It is on a computer using two’s complementrepresentation?4. e) It is on a computer using excess-127 representation?

Binary system

7. Perform the following binary division. Assume that all values are unsigned positive numbers.10100 / 11

Question 3: Present the following decimal numbers in a Signed Form Binary Numbers. Note: Signed Binary number of 8 bits. Signed Numbers (8 bits) Decimal Numbers +38 -38 -127 -1 Question 4: Represent -123.456 into 32-bit floating point number.

Evaluate each binary question and determine which one is out of sequence 9. 1010 in binary is ____ in decimal. 10. 1100 in binary is ____ in decimal. 11. 1110 in binary is _____ in decimal.

Write the corresponding decimal values (base 10) for the following ternary & binary numbers

What decimal value does the 8-bit binary number 00010001have if: 1. a) It is interpreted as an unsigned number?2. b) It is on a computer using signed-magnituderepresentation?3. c) It is on a computer using one’s complementrepresentation?4. d) It is on a computer using two’s complementrepresentation?5. e) It is on a computer using excess-127 representation?

All of these statements regarding ASCII code are false EXCEPT : i. ASCII has less letters than Unicode ii. Standard ASCII only uses the first 255 positions in the table. iii. Standard ASCI| only uses the first 128 positions in the table. iv. Use one byte per character A. i, ii and iv All of the above mentioned C. i, ii and iv D. O i, ii and iii B.

7. Given the following binary number: 1101.0111, what will be its decimal number equivalent?

Answer the following as directed. Use only UPPERCASE letters and numbers in your answers and NO SPACE. 1) If you multiply DWORD size hex number 000F4563 by hexadecimal number 100, the result (in DWORD size hex) is:   2) if you subtract BYTE size binary number (01110100 - 00111011) the result (in BYTE size binary) is:   DO NOT exclude any leading zeroes and DO NOT include any space in your answers.

B only.

2. Find the decimal value represented by the 32-bit single precision floating point number for the hex value 42F7E000.

Convert the following decimal number into it's IEEE 754 Floating Point representation. -23.5625   What is the following hexadecimal number in binary format? OxA47D   What is the IEEE 754 floating point representation of the following number: 93.75

4. Y = 60252.5 Find the equivalent of Y in binary, octal, and hexadecimal bases. Calculate and show the Y number translated into a 32-bit Single Precision floating point number.

a) How many bytes are needed to represent the following hex number: 0x77 88 f0 19

2) What is the largest binary number that can be expressed with 16 bits? What are the equivalent decimal and hexadecimal numbers? 3) Convert the hexadecimal number 64CD to binary, and then convert it frombinary to octal.

7 No plagiarised answer please

Please show all the steps to subtracting the following problem with binary numbers:   00000110 - 11110011 ____________   Thank you!

Fill in the blank question: Q. KB is also known as _______________ Byte.

1. Write the Binary numbers from 1002 to 10002. (Count in BINARY) 2. Write the Binary numbers from 10112 to 101012. (Count in BINARY) 3. Write the Hexadecimal numbers from DD16 to 10116. (Count in HEXADECIMAL) Write the Hexadecimal numbers from EFD16 to F1016- (Count in HEXADECIMAL) Write the truth table, draw the symbol, and write the Boolean expression for each of the following. Assume each gate has 3 Inputs. a. AND c. NAND b. OR d. NOR