ZuoTi.Pro
Question

What decimal value does the 8-bit binary number 10110111 have if: a) it is interpreted as...

What decimal value does the 8-bit binary number 10110111 have if:

a) it is interpreted as an unsigned number?

b) it is on a computer using signed-magnitude representation?

c) it is on a computer using one’s complement representation?

d) it is on a computer using two’s complement representation?

e) it is on a computer using excess-127 representation?

engineering   Computer-Science   
0 0
Add a comment Improve this question Transcribed image text
Next > < Previous
Sort answers by oldest

Homework Answers

Answer #1

a) it is interpreted as an unsigned number?

20 + 21 + 22 + 24 + 25 + 27 = 183

Answer: 183

b) it is on a computer using signed-magnitude representation?

First bit is for sign (0 for positive and 1 for negative)

20 + 21 + 22 + 24 + 25 = 55

Answer: -55

c) it is on a computer using one’s complement representation?

Flip all bits and put a negative sign

Flipped: 01001000

Sign = 23 + 26 = 72

Answer: -72

d) it is on a computer using two’s complement representation?

Most significant magnitude will be of -ve and the rest is positive

- 27 + 20 + 21 + 22 + 24 + 25 + = -128 + 55 = -73

Answer: -73

0 0
Add a comment
Know the answer?
Add Answer to:
What decimal value does the 8-bit binary number 10110111 have if: a) it is interpreted as...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions

  • 4. What decimal value does the 8-bit binary number 10011110 have if:

    4. What decimal value does the 8-bit binary number 10011110 have if: a) It is interpreted as an unsigned number? b) It is on a computer using signed-magnitude representation? c) It is on a computer using ones complement representation? d) It is on a computer using twos complement representation? 5. Given the following two binary numbers: 11111100 and 01110000. a) Which of these two numbers is the larger unsigned binary number? b) Which of these two is the larger when it is being...

  • Given the 8 - bit binary number: 1001 10 1 1 What decimal number does this...

    Given the 8 - bit binary number: 1001 10 1 1 What decimal number does this represent if the computer uses: signed magnitude representation (a) signed 1's complement (b) (c) signed 2's complement Assuming 2's complement 8 - bit representation, consider the following: +70 010001 10 21 +80 010100000 10010110 Is this correct? Why or why not?

  • Given the 8-bit binary number: 1 0 0 1 1 1 1 1 What decimal number...

    Given the 8-bit binary number: 1 0 0 1 1 1 1 1 What decimal number does this represent if the computer uses: a. signed-magnitude representation b. signed-1's complement c. signed-2's complement

  • 1. Convert the decimal number +164 and -164 to 9-bit binary numbers according to Sign magnitude,...

    1. Convert the decimal number +164 and -164 to 9-bit binary numbers according to Sign magnitude, One’s complement, and Two’s complement 2. Convert the binary number 111011010 to base 10 decimal form (our regular number system) treating it as each of the following representations: Sign magnitude, One’s complement, and Two’s complement

  • (3 pts) Consider an unsigned fixed point decimal (Base10) representation with 8 digits, 5 to the...

    (3 pts) Consider an unsigned fixed point decimal (Base10) representation with 8 digits, 5 to the left of the decimal point and 3 to the right. a.      What is the range of the expressible numbers?    b.      What is the precision?    c.       What is the error?    ______________________________________________________________________________   (3 pts) Convert this unsigned base 2 number, 1001 10112, to each base given below   (Note: the space in the binary string is purely for visual convenience) Show your work. Using...

  • Using the sigma (E) notation and given an n-bit sequence of binary digits an-lan-2an-3 ... a2alao,...

    Using the sigma (E) notation and given an n-bit sequence of binary digits an-lan-2an-3 ... a2alao, what is the value of A if the binary bits are interpreted as: A. an unsigned integer? b. Sign Magnitude number? C. Twos Complement number? D. Using the representation of twos complement numbers in question 6.c. above, convert the sign- magnitude number 1001 into twos complement number.

  • 2. Consider an 8-bit register with the following bit pattern, interpret it in each of the...

    2. Consider an 8-bit register with the following bit pattern, interpret it in each of the following ways, and give the required values: 0101 1001 Give the decimal value if it is to be interpreted as a binary coded decimal (BCD) number Give the decimal value if it is to be interpreted as a signed integer in 2's complement form. e. Give the decimal value if it is to be interpreted as a number in excess 127 code. 4 Give...

  • 1. 2. Find the decimal value of the following 8-bit numbers for (i) un-signed and (ii)...

    1. 2. Find the decimal value of the following 8-bit numbers for (i) un-signed and (ii) signed number. (a) 11010110, (b) 01011101 Express the following decimal numbers in 6-bit 2's complement representation: (a) -27, (b) 6, (c)-13, (d) -47 - 4. Convert decimal numbers 83 and 101 to 8-bit unsigned binary number. Find the sum and difference (with addition approach) of these two numbers.

  • Please show and explain all work for each questions What decimal number does the bit pattern...

    Please show and explain all work for each questions What decimal number does the bit pattern 11001100 represent if it is a: • [1 pts] unsigned integer? • [1 pts] sign-magnitude integer? • [1 pts] two's complement integer? 4 - What decimal number does the bit pattern 00110011 represent if it is a: • [1 pts] unsigned integer? • [1 pts] sign-magnitude integer? • [1 pts] two's complement integer? 5 - [2 pts] What is the binary representation of the...

  • CS 3503-06 Homework 1 Due: 11:59pm, Friday, Jan. 24. Please show the details of your work....

    CS 3503-06 Homework 1 Due: 11:59pm, Friday, Jan. 24. Please show the details of your work. Please submit in D2L using the associated link. Problems (total: 100 points) Representation of signed numbers (5 x 4 = 20 points) In an 8-bit system, find out the binary representation for the following numbers using sign-and-magnitude, ones’ complement, and two’s complement, respectively: 55 -47 In a 4-bit system, find out the binary representation for the following numbers using sign-and-magnitude, ones’ complement, and two’s...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT