Assuming w=8, answer the following: What is the value of the binary number 10010001 if we consider it to be an unsigned number? 3. 4. 5. What is the value of the same binary number if we consider it to be a signed number? (i.e. two's complement) If our word width is 12 bits, that is w = 12, what are the maximum and minimum values we can represent? Unsigned: Signed:

Assume that D has the value 1010101010 and that the 5-bit generator G=10011 is used. What does R stand for? B. C. Does corruption exist? Publish your work. Repetition of parts a and b with the addition of the following: the numbers 1001010101, 0101101010, and 1010100000

Find the decimal values of the following signed (negative) numbers. First find a signed-magnitude binaryrepresentation for them and then convert them to decimal numbers: a. (71)8= (111001)2 signed-magnitude =b. (80C)16 = (100000001100)2 signed-magnitude =c. (10100101)2 = (-0100101)2 signed-magnitude =

In this scheme, how many different numbers are representable and What is the largest number represented in this system? (Give your answer as a fraction in its lowest form.).,Finally What number represents 7/10 in this system?

What is the binary equivalent (in signed-magnitude binary representation) of the following signed decimal value? Represent the integer part of the binary value, including the sign, in 8 bits. Represent the fraction part of the binary value in 4 digits. Use truncation, if needed. -113.6875 B

0.5 0.25 0.125 1/8 0.0625 1/16 0.03125 1/32 0.015625 1/64 0.0078125 1/128 For the decimal number given below, answer each question in the process of converting the value into IEEE 754-like 16-bit hex format where there is a 1- bit sign, 5-bit exponent, and 10-bit significand. You must show your work to get full credit. You may find the above graphic helpful. Given the decimal value 9.375: a) What is the unsigned binary representation for the above decimal value? [Select] b) What is the normalized scientific notation for the binary representation and decimal exponent? x 2 to the [Select] c) What is the 5-bit Bias decimal value of the exponent? (Hint: be = exponent + K where K is 15 for a 5-bit exponent) [Select] [Select] 1/2 1/4 d) What is the 5-bit binary representation of the Bias decimal value of the exponent? [Select] e) What is the value of the 16-bit representation expressed in four hexadecimal digits? The answer will be 4 hex digits. [Select]

Are these 8-bits a signed or unsigned value: 10101101 Yes, the most significant bit is a 1 so the number is a signed negative value. No, the most significant bit is simply another place value in binary so the number is an unsigned positive value. Unknown, the binary pattern could be interpreted either way.

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