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What is the result of the following in sign-absolute notation? 01110100 - 01001100.

Computer Science

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  1. What is result of the following in sign-absolute notation? 01 110 100−01 001 10001\ 110\ 100 - 01\ 001\ 100.

    • The first bit is the sign bit (0 for positive, 1 for negative). The remaining 6 bits represent the magnitude.
    • First number: 01 110 10001\ 110\ 100
      • Sign: 0 (positive)
      • Magnitude: 110 1002=1⋅25+1⋅24+0⋅23+1⋅22+0⋅21+0⋅20=32+16+4=5210110\ 100_2 = 1 \cdot 2^5 + 1 \cdot 2^4 + 0 \cdot 2^3 + 1 \cdot 2^2 + 0 \cdot 2^1 + 0 \cdot 2^0 = 32 + 16 + 4 = 52_{10}
      • So, the first number is +52+52.
    • Second number: 01 001 10001\ 001\ 100
      • Sign: 0 (positive)
      • Magnitude: 001 1002=0⋅25+0⋅24+1⋅23+1⋅22+0⋅21+0⋅20=8+4=1210001\ 100_2 = 0 \cdot 2^5 + 0 \cdot 2^4 + 1 \cdot 2^3 + 1 \cdot 2^2 + 0 \cdot 2^1 + 0 \cdot 2^0 = 8 + 4 = 12_{10}
      • So, the second number is +12+12.
    • The operation is 52−12=4052 - 12 = 40.
    • Now, convert 401040_{10} to 6-bit binary magnitude: 4010=32+8=101000240_{10} = 32 + 8 = 101000_2.
    • Since the result is positive, the sign bit is 0.
    • Combining the sign bit and the 6-bit magnitude: 01 010 00001\ 010\ 000.

    Let's re-evaluate the second number's magnitude from the image. It looks like 01 001 10001\ 001\ 100.
    Magnitude: 001 1002=0⋅25+0⋅24+1⋅23+1⋅22+0⋅21+0⋅20=8+4=1210001\ 100_2 = 0 \cdot 2^5 + 0 \cdot 2^4 + 1 \cdot 2^3 + 1 \cdot 2^2 + 0 \cdot 2^1 + 0 \cdot 2^0 = 8 + 4 = 12_{10}.
    So, 52−12=4052 - 12 = 40.
    The binary representation of 401040_{10} is 1010002101000_2.
    In sign-magnitude notation (1 sign bit, 6 magnitude bits), this would be 01 010 00001\ 010\ 000.

    Let's re-read the image carefully for the second number. It is 01 001 10001\ 001\ 100.
    Magnitude: 001 1002=1210001\ 100_2 = 12_{10}.
    So, 52−12=4052 - 12 = 40.
    The result in sign-magnitude is 01 010 00001\ 010\ 000.

    Checking the options:
    A. 00 101 00000\ 101\ 000 (Magnitude 1010002=4010101000_2 = 40_{10})
    B. 10 101 00010\ 101\ 000 (Negative 401040_{10})
    C. 00 010 00000\ 010\ 000 (Magnitude 0100002=1610010000_2 = 16_{10})
    D. 10 011 00010\ 011\ 000 (Negative 0110002=2410011000_2 = 24_{10})

    The calculated result 01 010 00001\ 010\ 000 matches option A.

    • A. 00 101 00000\ 101\ 000
  2. An Example of universal gate

    • A universal gate is a logic gate that can implement any Boolean function without the need to use any other gate type. NAND and NOR gates are universal gates.
    • C. NOR
  3. It looks for an instruction, uses circuits to interpret it, and then carries out the instruction in a process known as the...

    • This process describes the fundamental cycle of a CPU, which involves fetching an instruction, decoding it, and then executing it. This is known as the Machine Instruction Cycle.
    • B. Machine Instruction Cycle
  4. When the processor receives a signal, it stops what it is doing in order to attend to the request. The mechanism exploited here is:

    • This mechanism is called interrupt handling. An interrupt signal causes the processor to pause its current task and execute a specific routine (interrupt service routine) to handle the request.
    • C. Interrupt handling
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