1) Convert the following bit sequences to decimal. Assume an unsigned integer. a) OxAF - convert to binary first b) 1101 0011 0011 0101
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- a) 13–9 b) –13 –13 Perform the above decimal arithmetic problems by first converting the numbers to binary, 2’s complement form (using a 7 bit word in every case). Then perform the 2’s compliment addition. Show the result in binary indicating as in the problem above whether each result is positive or negative or overflowed (by writing “positive”, “negative” or “overflow” next to the binary answer) and then follow with the decimal value of the result if there was no overflow.Perform the indicated arithmetic on the following signed 2’s complement binary numbers. a) 01011011 + 11100101 b) 01001 - 01110 c) 1111 + 1100 Note: The answer should show the 2’s complement binary result; also indicate if each result is positive or negative or overflowed (by writing “positive”, “negative” or “overflow” next to the binary answer) and then follow with the decimal value of the result if there was no overflow. Do not extend (add any additional length) to these representations, but rather use a binary number word size equal to those found in each problem statement.Prove the equality of the following boolean expression (AB)'.(CD)'=(AB+CD)'.state this theorem.implement using logic gates also
- For the decimal number 2007, in the binary representation, suppose your bits are the input of a combinational circuit. Develop this circuit with at least 3 layers, so that the combination of bits across the circuit will result in logic level 1 as exit.Design a 4-bit arithmetic circuit, with two selection variables S1 and S0, that generates the arithmetic operations in the following table. Draw the logic diagram for a single bit stage. Note that B’ represents “Not B”. Complete the following truth table.Course: Computer Engineering Subject: Logic Circuit and Switch Theory Find a function to detect an error in the representation of a decimal digit in BCD. In other words, write an equation with value 1 when the inputs are any one of the six unused bit combinations in the BCD code, and value 0 otherwise. Course: Computer Engineering Subject: Logic Circuit and Switch Theory
- What is the largest binary number that can be expressed with 16 bits? What are the equivalent decimal and hexadecimal numbers?(a) If I have an n-bit unsigned integer, is it correct to say that I can always represent it as an (n + 1)-bit signed integer? Discuss briefly, in your own words. (b) If I have an m-bit signed integer, and I know its value is negative, I can use the NEG operation; then, since its sign bit will now be 0, I should be able to represent the value as an (m − 1)-bit unsigned integer, simply by dropping the leading 0. Is this correct? Discuss briefly, in your own words.Design of a digital electronic circuit that produces 4 bits of binary numbers sequentially and repeatedly to move the Stepper Motor in Full Step mode such as : 0011 1001 1100 0110 0011. To generate predefined binary data, You can use a flip-flop that is assembled into a Sync Counter. To stringing a flip-flop into a Sync Counter must be known Excitation Table or Table Transition from flip-flop. Citation Table determined by Table The Truth of the Flip-Flop. Design of Synchronous Counter circuit to generate 4 bits of Motor drive data Stepper on Full Step mode using a D flip-flop?
- Question 5 a) Briefly explain the Nyquist theorem in the context of digital sampling. b) Using logic gates, design an active low chip select for the memory a 256 K memory device starting at address 38000016 in a 16 Megabyte memory space. c) Convert each of the following 8-bit signed magnitude binary numbers to decimal. i) 10110101(base 2) ii) 01000101(base 2) iii) 11101010(base 2) iv) 01011110(base 2)24: 1’s complement of 1011101 is 0100010 Select one: True False 25: Sequential logic circuits, comprises ___________________________________ logic gates such as flip-flops only logic gates and memory elements such as flip-flops. memory elements such as flip-flops. 27: Find the 1's complement of 01100111.10101 10100100.01101 11110100.11101 10011000.01010 11100100.01001To convert the decimal number 30 to an 8-bit binary number, use the following representation methods: a) the inverse of its complement: b) Excess-M:?