CCTT211 Assignment:
1. Change the following decimal numbers to 16-bit two’s complement integers
a. -1024
b. 16384
2. Change the following 8-bit unsigned numbers to decimal
a. 11010101
b. 00101110
3. If we apply the two’s complement operation to a number twice, we should get the original number. Apply the two’s complement operation to each of the following numbers and see if we can get the original number.
a. 110011
b. 11111111
4. Normalize the following binary floating-point numbers. Explicitly show the value of the exponent after normalization.
a. 0.1011.1 * 26
b. 1101.11 * 2-2
5. Convert the following numbers in 32-bit IEEE format.
a. 16.25
b. -12.75
6. Convert the following decimal integers to sign-and-magnitude with 8-bit allocation
a. 45
b. -78
7. One method of representing signed numbers in a computer is one’s complement representation. In this representation, to represent a positive number, we store the binary number. To represent a negative number, we apply the one’s comple- ment operation on the number. Store the following decimal integers to one’s complement with 8-bit allocation.
a. 63
b. -63
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- Suppose you want to send the following 2 16-bits numbers: 11010010 01111010 and 10011010 01011001. What would be the checksum? The spaces are used to make the sequence of bits more readable. Options: A) 01101100 00101011 B) 1001001100101011 C) 10010011 11010100 D) 01101100 11010100arrow_forward4.Logical operations. Neatly align your result under the operands. Perform a logical AND on the following two binary strings:11101111011100101011101001 Perform a logical OR on the following two binary strings:11101111011100101011101001 Perform a logical XOR on the following two binary strings:11101111011100101011101001arrow_forwardHi,How do you get binary to decimal? The code only works for the hexadecimal number written in strings such as 'A', 'B', and so on. Could you show me an example of transforming binary to decimal with your code. Thanks in advance.arrow_forward
- Convert the following number from binary to decimal: Ox5A Fill in the blanks to get the correct result. Start from the right-most digit in the above binary number: Blank # 1 times Blank # 4 times The Total value is: Blank # 10 16 to the Blank # 2 power 16 to the Blank # 5 power = = Blank # 3 Blank # 6arrow_forwardUse pencil and paper, also don't use Ai 6.b. Convert the binary integers in decimal notation. You need to show your calculation as a sum of powers of two as shown: 11001012 10110112 110111012 (this binary number is in 8-bit two’s complement form)arrow_forwardExpress the binary floating-point value 1101.01101 as a sum of decimal fractions. The sum of decimal fractions is 13/1 + 1/2 + 1/8 + 1/32. а. The sum of decimal fractions is 13/1 + 1/2 + 1/4 + 1/32. b. The sum of decimal fractions is 13/1 + 1/4 + 1/16 + 1/32. The sum of decimal fractions is 13/1 + 1/4 + 1/8 + 1/32. O d.arrow_forward
- Please send me answer within 10 min!! I will rate you good for sure!! Please solve all 3 questions and their sub parts otherwise I will dislike your answer!!arrow_forwarddont post the exisitng answers directly dislikearrow_forwardWhat is the normalized expression for the floating binary value 00000001001111011? The normalized expression is 1.001111011 x 2-6 O b. The normalized expression is 1.001111011 x 2-8. O. The normalized expression is 1.001111011 x 2-7. O d. The normalized expression is 1.001111011 x 2-5.arrow_forward
- 6. Using only the binary shift left operation, how can one multiply a number by decimal 16?arrow_forwardList an application where you can explain the advantage of using the Gray code over the Binary code.arrow_forwardFill in the empty spaces in the following table. As you do, please be aware of the following: • All numbers are considered signed (negative) for this table • All binary answers must have 16 bits • You need to put a space after every 4 bits for binary values. All hex values must use capital letters Signed Decimal 16-bit Binary Нех |-12 -20 1111 1111 1110 1100| FFEC 65495 1111 1111 1101 FFD7arrow_forward
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