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Note: For each question below, state the required answer precisely and then prov

ID: 3889709 • Letter: N

Question

Note: For each question below, state the required answer precisely and then provide proper explanation. question requires arriving at a conclusion, be sure to provide the reasoning behind the conclusion. If the question involves some computation, be sure to show al the major steps involved. Again, t is not enough to provide one word or one line answers. That is, if the 1. Consider the hexadecimal number BAD5 and determine its value in binary, base-4, octal, and decimal. 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 a Give the decimal value if it is to be interpreted as a binary coded decimal (BCD) number b. 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 d Give the character corresponding to the bit pattern if it is to be interpreted in ASCII code (8-bit ASCII) 3. Add the two 8-bit signed 2's complement integers given below. For each case, indicate clearly whether or not an overflow has occurred. Explain how you determined whether or not an overflow has occurred. a. 010010 11 b. 10110011 001 10 101 0100110 4. Convert the following fraction (floating-point number) to your answer the IEEE single-precision format and write down in hex form: -11/32 5. Convert the following single-precision floating-point number in IEEE format (written as hex digits) to decimal: C1200000

Explanation / Answer

Question 1

Given Hexadecimal number

BAD5

a.The value in binary is 1011101011010101

Here

B=1011

A=1010

D=1101

5=0101

b.The value in base-4 is 23223111

c.The value in octal is 135325

Here

THe following steps are performed

B A D 5

1011 1010 1101 0101

Then it is grouped together

1011101011010101

Now the digits are grouped into three

001 011 101 011 010 101

correspoding octals are 1 3 5 3 2 5

d.The value in decimal is 47829

Here

BAD5 is a hex

=(11*16^3)+(10*16^2)+(13*16^1)+(5*16^0)

=47829

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