Binary to Decimal and Back Again Convert the following 6-bit negative binary numbers to decimal. a) binary: 100110 decimal: -38 b) binary: 101010 decimal: -42
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Hello, not sure why its marking my negatives wrong
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- 1.What is the minimum number of binary bits needed to represent each of the following unsigned decimal integers? 4095 65534 42319 2.What is the hexadecimal representation of each of the following binary numbers? 0011 0101 1101 1010 1100 1110 1010 0011 1111 1110 1101 1011 3.What is the binary representation of the following hexadecimal numbers? 0126F9D4 6ACDFA95 F69BDC2A 4.What is the unsigned decimal representation of each of the following hexadecimal integers? 3A 1BF 1001 5.What is the unsigned decimal representation of each of the following hexadecimal integers? 62 4B3 29FRound the following binary numbers (rounding position is bolded – it is the bit at the 2-4 position) following the rounding rules of the IEEE floating point representation. I. 1.00111112 II. 1.10010012 III. 1.01111002 IV. 1.01101002 For each of the four (4) resulting rounded binary numbers, indicate - what type of rounding you performed and - compute the value that is either added to or subtracted from the initial binary number (listed above) as a result of the rounding process. In other words, compute the error introduced by the rounding (approximation) process. please note that the rounding is based on the bolded numbers!!! Not the 2s in the end those are just binary signs(Non-negative signed binary numbers) What happens if all of the zeros on the left side of a non-negative signed binary number are removed? In general, how does one convert a non-negative N-bit signed binary number to an M-bit unsigned binary number, where N ≤ M?
- 1. a. Convert the following decimal integers in binary notation. You need to show your calculation as a sum of powers of two : 1609 1424 -33 (write in 8-bit two’s complement form) 1.b. Convert the binary integers in decimal notation. You need to show your calculation as a sum of powers of two as shown class: 11001012 10110112 110111012 (this binary number is in 8-bit two’s complement form)1) Answer the following questions: What is the greatest magnitude negative number one can represent in n-bit 2'scomplement code? 2)Show the 8-bit binary signed-magnitude representation for the following decimalnumbers: -109 10 +43 10 3)Perform the following additions and subtractions. Assume the numbers arestored in signed-magnitude base 2 representation. -1010111 + -10011For the following questions please list them in order shown and show work on how you got the answer please. 1. The following 16- bit hexadecimal number represents signed integer. Convert to decimal. 7CAB 2. What is the unsigned decimal representation of the hexcadecimal integer? 1C9 3. The following 16- bit hexadecimal number represents signed integer. Convert to decimal. C123 4. What is the binary represenation of the following hexadecimal number? 2B3D9461 5. What is the 8-bit binary(two- complement) representation of the following signed decimal integer? -16 6. What is the decimal representation of the following signed binary number? 7. What is the sum of the pair of binary integers?(answer in binary) 11010101 + 01101011
- The binary number 1001 converts to the decimal number 9, with the 0th (zeroth) bit on the right representing 1 and the 3rd bit representing 8. If you're converting the decimal number 33 to binary, what is the highest numbered bit (counting from the 0th bit on the right) that will be set? a. 0th b. 1st c. 2nd d. 5th e. 6thNegative signed binary numbers What is the decimal representation of the 2-bit signed binary number 11? What is the decimal representation of the 16-bit signed binary number 1111_1111_1111_1111? How do the signed binary representations differ (ignoring the underscores)? What is the decimal representation of the 8-bit signed binary number 1001_0001? What is the decimal representation of the 16-bit signed binary number 1111_1111_1001_0001? How do the signed binary representations differ (ignoring the underscores)? What is the decimal representation of the 9-bit signed binary number 1_0001_0001? What is the decimal representation of the 16-bit signed binary number 1111_1111_0001_0001?For each number, perform the following bitwise operations. You don't have to show work for each conversion. Format your answers in the following ways, points will be deducted if answers are not formatted correctly. Answers are numbered. Write all hexadecimal numbers using the 0x notation to differentiate between other number systems. Write all binary numbers in groups of 4 bits XXXX XXXX or groups of 8 bits XXXXXXXX Given the following signed 8-bit binary number: 1110 0101What are the two possible binary numbers after shifting 3 bits to the right? What is the result of (~142) in unsigned 8-bit binary? Hint: Convert 142 to binary then perform one's complement. Please answer 1 and 2.
- 2. Convert the following binary numbers to floating point format. Assume a binary format consisting of a sign bit (negative = 1), a base 2, 8-bit, excess-128 exponent, and 23 bits of mantissa, with the implied binary point to the right of the first bit of the mantissa.a. 110110.011011b. −1.1111001c. 0.1100×236d. 0.1100×2−367. Add the following two 8-bit binary numbers, producing an 8-bit result. Indicate the status of the carry and overflow bits at the end of the addition by circling the appropriate choices. The space in between is only for readability. 1101 0110 + 1001 0111 -------------- Overflow? Yes or No Carry? Yes or NoWhat bit pattern is stored for the following characters assuming an 8-bit byte? a. A b. a c. 8 d. % 2. What character is represented by the following bit patterns? a. 0011 0000 b. 0100 0011 c. 0111 1000 d. 0010 1010